Crypto Forum F. Denis Internet-Draft Fastly Inc. Intended status: Informational S. Lucas Expires: 27 March 2025 Individual Contributor 23 September 2024 The AEGIS Family of Authenticated Encryption Algorithms draft-irtf-cfrg-aegis-aead-12 Abstract This document describes the AEGIS-128L, AEGIS-256, AEGIS-128X, and AEGIS-256X AES-based authenticated encryption algorithms designed for high-performance applications. The document is a product of the Crypto Forum Research Group (CFRG). It is not an IETF product and is not a standard. Discussion Venues This note is to be removed before publishing as an RFC. Source for this draft and an issue tracker can be found at https://github.com/cfrg/draft-irtf-cfrg-aegis-aead. Status of This Memo This Internet-Draft is submitted in full conformance with the provisions of BCP 78 and BCP 79. Internet-Drafts are working documents of the Internet Engineering Task Force (IETF). Note that other groups may also distribute working documents as Internet-Drafts. The list of current Internet- Drafts is at https://datatracker.ietf.org/drafts/current/. Internet-Drafts are draft documents valid for a maximum of six months and may be updated, replaced, or obsoleted by other documents at any time. It is inappropriate to use Internet-Drafts as reference material or to cite them other than as "work in progress." This Internet-Draft will expire on 27 March 2025. Copyright Notice Copyright (c) 2024 IETF Trust and the persons identified as the document authors. All rights reserved. Denis & Lucas Expires 27 March 2025 [Page 1] Internet-Draft The AEGIS Family of Authenticated Encryp September 2024 This document is subject to BCP 78 and the IETF Trust's Legal Provisions Relating to IETF Documents (https://trustee.ietf.org/ license-info) in effect on the date of publication of this document. Please review these documents carefully, as they describe your rights and restrictions with respect to this document. Table of Contents 1. Introduction . . . . . . . . . . . . . . . . . . . . . . . . 4 2. Conventions and Definitions . . . . . . . . . . . . . . . . . 5 3. The AEGIS-128L Algorithm . . . . . . . . . . . . . . . . . . 8 3.1. Authenticated Encryption . . . . . . . . . . . . . . . . 8 3.2. Authenticated Decryption . . . . . . . . . . . . . . . . 9 3.3. The Init Function . . . . . . . . . . . . . . . . . . . . 10 3.4. The Update Function . . . . . . . . . . . . . . . . . . . 11 3.5. The Absorb Function . . . . . . . . . . . . . . . . . . . 12 3.6. The Enc Function . . . . . . . . . . . . . . . . . . . . 12 3.7. The Dec Function . . . . . . . . . . . . . . . . . . . . 13 3.8. The DecPartial Function . . . . . . . . . . . . . . . . . 13 3.9. The Finalize Function . . . . . . . . . . . . . . . . . . 14 4. The AEGIS-256 Algorithm . . . . . . . . . . . . . . . . . . . 15 4.1. Authenticated Encryption . . . . . . . . . . . . . . . . 15 4.2. Authenticated Decryption . . . . . . . . . . . . . . . . 16 4.3. The Init Function . . . . . . . . . . . . . . . . . . . . 18 4.4. The Update Function . . . . . . . . . . . . . . . . . . . 19 4.5. The Absorb Function . . . . . . . . . . . . . . . . . . . 20 4.6. The Enc Function . . . . . . . . . . . . . . . . . . . . 20 4.7. The Dec Function . . . . . . . . . . . . . . . . . . . . 20 4.8. The DecPartial Function . . . . . . . . . . . . . . . . . 21 4.9. The Finalize Function . . . . . . . . . . . . . . . . . . 22 5. Parallel Modes . . . . . . . . . . . . . . . . . . . . . . . 22 5.1. Additional Conventions and Definitions . . . . . . . . . 23 5.2. Authenticated Encryption . . . . . . . . . . . . . . . . 23 5.3. Authenticated Decryption . . . . . . . . . . . . . . . . 24 5.4. AEGIS-128X . . . . . . . . . . . . . . . . . . . . . . . 25 5.4.1. The Init Function . . . . . . . . . . . . . . . . . . 25 5.4.2. The Update Function . . . . . . . . . . . . . . . . . 26 5.4.3. The Absorb Function . . . . . . . . . . . . . . . . . 27 5.4.4. The Enc Function . . . . . . . . . . . . . . . . . . 27 5.4.5. The Dec Function . . . . . . . . . . . . . . . . . . 28 5.4.6. The DecPartial Function . . . . . . . . . . . . . . . 28 5.4.7. The Finalize Function . . . . . . . . . . . . . . . . 29 5.5. AEGIS-256X . . . . . . . . . . . . . . . . . . . . . . . 30 5.5.1. The Init Function . . . . . . . . . . . . . . . . . . 30 5.5.2. The Update Function . . . . . . . . . . . . . . . . . 32 5.5.3. The Absorb Function . . . . . . . . . . . . . . . . . 32 5.5.4. The Enc Function . . . . . . . . . . . . . . . . . . 32 5.5.5. The Dec Function . . . . . . . . . . . . . . . . . . 33 Denis & Lucas Expires 27 March 2025 [Page 2] Internet-Draft The AEGIS Family of Authenticated Encryp September 2024 5.5.6. The DecPartial Function . . . . . . . . . . . . . . . 33 5.5.7. The Finalize Function . . . . . . . . . . . . . . . . 34 5.6. Implementation Considerations . . . . . . . . . . . . . . 35 5.7. Operational Considerations . . . . . . . . . . . . . . . 35 6. Encoding (ct, tag) Tuples . . . . . . . . . . . . . . . . . . 36 7. AEGIS as a Stream Cipher . . . . . . . . . . . . . . . . . . 36 8. Implementation Status . . . . . . . . . . . . . . . . . . . . 37 9. Security Considerations . . . . . . . . . . . . . . . . . . . 37 9.1. Usage Guidelines . . . . . . . . . . . . . . . . . . . . 37 9.1.1. Key and Nonce Selection . . . . . . . . . . . . . . . 37 9.1.2. Key Commitment . . . . . . . . . . . . . . . . . . . 38 9.1.3. Multi-User Security . . . . . . . . . . . . . . . . . 38 9.1.4. Other Uses of AEGIS . . . . . . . . . . . . . . . . . 39 9.2. Implementation Security . . . . . . . . . . . . . . . . . 39 9.3. Security Guarantees . . . . . . . . . . . . . . . . . . . 39 10. IANA Considerations . . . . . . . . . . . . . . . . . . . . . 40 11. References . . . . . . . . . . . . . . . . . . . . . . . . . 40 11.1. Normative References . . . . . . . . . . . . . . . . . . 41 11.2. Informative References . . . . . . . . . . . . . . . . . 41 Appendix A. Test Vectors . . . . . . . . . . . . . . . . . . . . 43 A.1. AESRound Test Vector . . . . . . . . . . . . . . . . . . 43 A.2. AEGIS-128L Test Vectors . . . . . . . . . . . . . . . . . 43 A.2.1. Update Test Vector . . . . . . . . . . . . . . . . . 43 A.2.2. Test Vector 1 . . . . . . . . . . . . . . . . . . . . 44 A.2.3. Test Vector 2 . . . . . . . . . . . . . . . . . . . . 44 A.2.4. Test Vector 3 . . . . . . . . . . . . . . . . . . . . 45 A.2.5. Test Vector 4 . . . . . . . . . . . . . . . . . . . . 45 A.2.6. Test Vector 5 . . . . . . . . . . . . . . . . . . . . 46 A.2.7. Test Vector 6 . . . . . . . . . . . . . . . . . . . . 46 A.2.8. Test Vector 7 . . . . . . . . . . . . . . . . . . . . 47 A.2.9. Test Vector 8 . . . . . . . . . . . . . . . . . . . . 47 A.2.10. Test Vector 9 . . . . . . . . . . . . . . . . . . . . 48 A.3. AEGIS-256 Test Vectors . . . . . . . . . . . . . . . . . 48 A.3.1. Update Test Vector . . . . . . . . . . . . . . . . . 48 A.3.2. Test Vector 1 . . . . . . . . . . . . . . . . . . . . 48 A.3.3. Test Vector 2 . . . . . . . . . . . . . . . . . . . . 49 A.3.4. Test Vector 3 . . . . . . . . . . . . . . . . . . . . 49 A.3.5. Test Vector 4 . . . . . . . . . . . . . . . . . . . . 50 A.3.6. Test Vector 5 . . . . . . . . . . . . . . . . . . . . 50 A.3.7. Test Vector 6 . . . . . . . . . . . . . . . . . . . . 51 A.3.8. Test Vector 7 . . . . . . . . . . . . . . . . . . . . 51 A.3.9. Test Vector 8 . . . . . . . . . . . . . . . . . . . . 52 A.3.10. Test Vector 9 . . . . . . . . . . . . . . . . . . . . 52 A.4. AEGIS-128X2 Test Vectors . . . . . . . . . . . . . . . . 53 A.4.1. Initial State . . . . . . . . . . . . . . . . . . . . 53 A.4.2. Test Vector 1 . . . . . . . . . . . . . . . . . . . . 54 A.4.3. Test Vector 2 . . . . . . . . . . . . . . . . . . . . 54 A.5. AEGIS-128X4 Test Vectors . . . . . . . . . . . . . . . . 55 Denis & Lucas Expires 27 March 2025 [Page 3] Internet-Draft The AEGIS Family of Authenticated Encryp September 2024 A.5.1. Initial State . . . . . . . . . . . . . . . . . . . . 55 A.5.2. Test Vector 1 . . . . . . . . . . . . . . . . . . . . 56 A.5.3. Test Vector 2 . . . . . . . . . . . . . . . . . . . . 57 A.6. AEGIS-256X2 Test Vectors . . . . . . . . . . . . . . . . 57 A.6.1. Initial State . . . . . . . . . . . . . . . . . . . . 58 A.6.2. Test Vector 1 . . . . . . . . . . . . . . . . . . . . 58 A.6.3. Test Vector 2 . . . . . . . . . . . . . . . . . . . . 59 A.7. AEGIS-256X4 Test Vectors . . . . . . . . . . . . . . . . 60 A.7.1. Initial State . . . . . . . . . . . . . . . . . . . . 60 A.7.2. Test Vector 1 . . . . . . . . . . . . . . . . . . . . 61 A.7.3. Test Vector 2 . . . . . . . . . . . . . . . . . . . . 62 Acknowledgments . . . . . . . . . . . . . . . . . . . . . . . . . 62 Authors' Addresses . . . . . . . . . . . . . . . . . . . . . . . 63 1. Introduction This document describes the AEGIS family of authenticated encryption with associated data (AEAD) algorithms [AEGIS], which were chosen as additional finalists for high-performance applications in the Competition for Authenticated Encryption: Security, Applicability, and Robustness (CAESAR). Whilst AEGIS-128 was selected as a winner for this use case, AEGIS-128L has a better security margin alongside improved performance and AEGIS-256 uses a 256-bit key [LIMS21]. All variants of AEGIS are inverse-free and constructed from the AES encryption round function [FIPS-AES]. This document specifies: * AEGIS-128L, which has a 128-bit key, a 128-bit nonce, a 1024-bit state, a 128- or 256-bit authentication tag, and processes 256-bit input blocks. * AEGIS-256, which has a 256-bit key, a 256-bit nonce, a 768-bit state, a 128- or 256-bit authentication tag, and processes 128-bit input blocks. * AEGIS-128X, which is a mode based on AEGIS-128L, specialized for CPUs with large vector registers and vector AES instructions. * AEGIS-256X, which is a mode based on AEGIS-256, specialized for CPUs with large vector registers and vector AES instructions. The AEGIS cipher family offers performance that significantly exceeds that of AES-GCM with hardware support for parallelizable AES block encryption [AEGIS]. Similarly, software implementations can also be faster, although to a lesser extent. Denis & Lucas Expires 27 March 2025 [Page 4] Internet-Draft The AEGIS Family of Authenticated Encryp September 2024 Unlike with AES-GCM, nonces can be safely chosen at random with no practical limit when using AEGIS-256 and AEGIS-256X. AEGIS-128L and AEGIS-128X also allow for more messages to be safely encrypted when using random nonces. With some existing AEAD schemes, such as AES-GCM, an attacker can generate a ciphertext that successfully decrypts under multiple different keys (a partitioning oracle attack) [LGR21]. This ability to craft a (ciphertext, authentication tag) pair that verifies under multiple keys significantly reduces the number of required interactions with the oracle to perform an exhaustive search, making it practical if the key space is small. For example, with password- based encryption, an attacker can guess a large number of passwords at a time by recursively submitting such a ciphertext to an oracle, which speeds up a password search by reducing it to a binary search. In AEGIS, finding distinct (key, nonce) pairs that successfully decrypt a given (associated data, ciphertext, authentication tag) tuple is believed to have a complexity that depends on the tag size. A 128-bit tag provides 64-bit committing security, which is generally acceptable for interactive protocols. With a 256-bit tag, finding a collision becomes impractical. Unlike most other AES-based AEAD constructions, leaking a state does not leak the key or previous states. Finally, an AEGIS key is not required after the setup phase, and there is no key schedule. Thus, ephemeral keys can be erased from memory before any data has been encrypted or decrypted, mitigating cold boot attacks. Note that an earlier version of Hongjun Wu and Bart Preneel’s paper introducing AEGIS specified AEGIS-128L and AEGIS-256 sporting differences with regards to the computation of the authentication tag and the number of rounds in the Finalize() function. We follow the specification of [AEGIS], which can be found in the References section of this document. 2. Conventions and Definitions The key words “MUST”, “MUST NOT”, “REQUIRED”, “SHALL”, “SHALL NOT”, “SHOULD”, “SHOULD NOT”, “RECOMMENDED”, “NOT RECOMMENDED”, “MAY”, and “OPTIONAL” in this document are to be interpreted as described in BCP 14 [RFC2119] [RFC8174] when, and only when, they appear in all capitals, as shown here. Throughout this document, “byte” is used interchangeably with “octet” and refers to an 8-bit sequence. Denis & Lucas Expires 27 March 2025 [Page 5] Internet-Draft The AEGIS Family of Authenticated Encryp September 2024 Primitives: * {}: an empty bit array. * |x|: the length of x in bits. * a ^ b: the bitwise exclusive OR operation between a and b. * a & b: the bitwise AND operation between a and b. * a || b: the concatenation of a and b. * a mod b: the remainder of the Euclidean division between a as the dividend and b as the divisor. * LE64(x): the little-endian encoding of unsigned 64-bit integer x. * ZeroPad(x, n): padding operation. Trailing zeros are concatenated to x until the total length is a multiple of n bits. * Truncate(x, n): truncation operation. The first n bits of x are kept. * Split(x, n): splitting operation. x is split into n-bit blocks, ignoring partial blocks. * Tail(x, n): returns the last n bits of x. * AESRound(in, rk): a single round of the AES encryption round function, which is the composition of the SubBytes, ShiftRows, MixColums and AddRoundKey transformations, as defined in section 5 of [FIPS-AES]. Here, in is the 128-bit AES input state, and rk is the 128-bit round key. * Repeat(n, F): n sequential evaluations of the function F. * CtEq(a, b): compares a and b in constant-time, returning True for an exact match, False otherwise. AEGIS internal functions: * Update(M0, M1) or Update(M): the state update function. * Init(key, nonce): the initialization function. * Absorb(ai): the input block absorption function. * Enc(xi): the input block encryption function. Denis & Lucas Expires 27 March 2025 [Page 6] Internet-Draft The AEGIS Family of Authenticated Encryp September 2024 * Dec(ci): the input block decryption function. * DecPartial(cn): the input block decryption function for the last ciphertext bits when they do not fill an entire block. * Finalize(ad_len_bits, msg_len_bits): the authentication tag generation function. Input blocks are 256 bits for AEGIS-128L and 128 bits for AEGIS-256. AES blocks: * Si: the i-th AES block of the current state. * S'i: the i-th AES block of the next state. * {Si, ...Sj}: the vector of the i-th AES block of the current state to the j-th block of the current state. * C0: an AES block built from the following bytes in hexadecimal format: { 0x00, 0x01, 0x01, 0x02, 0x03, 0x05, 0x08, 0x0d, 0x15, 0x22, 0x37, 0x59, 0x90, 0xe9, 0x79, 0x62 }. * C1: an AES block built from the following bytes in hexadecimal format: { 0xdb, 0x3d, 0x18, 0x55, 0x6d, 0xc2, 0x2f, 0xf1, 0x20, 0x11, 0x31, 0x42, 0x73, 0xb5, 0x28, 0xdd }. AES blocks are always 128 bits in length. Input and output values: * key: the encryption key (128 bits for AEGIS-128L, 256 bits for AEGIS-256). * nonce: the public nonce (128 bits for AEGIS-128L, 256 bits for AEGIS-256). * ad: the associated data. * msg: the plaintext. * ct: the ciphertext. * tag: the authentication tag (128 or 256 bits). Denis & Lucas Expires 27 March 2025 [Page 7] Internet-Draft The AEGIS Family of Authenticated Encryp September 2024 3. The AEGIS-128L Algorithm AEGIS-128L has a 1024-bit state, made of eight 128-bit blocks {S0, ...S7}. The parameters for this algorithm, whose meaning is defined in [RFC5116], Section 4 are: * K_LEN (key length) is 16 bytes (128 bits). * P_MAX (maximum length of the plaintext) is 2^61 - 1 bytes (2^64 - 8 bits). * A_MAX (maximum length of the associated data) is 2^61 - 1 bytes (2^64 - 8 bits). * N_MIN (minimum nonce length) = N_MAX (maximum nonce length) = 16 bytes (128 bits). * C_MAX (maximum ciphertext length) = P_MAX + tag length = (2^61 - 1) + 16 or 32 bytes (in bits: (2^64 - 8) + 128 or 256 bits). Distinct associated data inputs, as described in [RFC5116], Section 3 shall be unambiguously encoded as a single input. It is up to the application to create a structure in the associated data input if needed. 3.1. Authenticated Encryption Encrypt(msg, ad, key, nonce) The Encrypt function encrypts a message and returns the ciphertext along with an authentication tag that verifies the authenticity of the message and associated data, if provided. Security: * For a given key, the nonce MUST NOT be reused under any circumstances; doing so allows an attacker to recover the internal state. * The key MUST be randomly chosen from a uniform distribution. Inputs: * msg: the message to be encrypted (length MUST be less than or equal to P_MAX). Denis & Lucas Expires 27 March 2025 [Page 8] Internet-Draft The AEGIS Family of Authenticated Encryp September 2024 * ad: the associated data to authenticate (length MUST be less than or equal to A_MAX). * key: the encryption key. * nonce: the public nonce. Outputs: * ct: the ciphertext. * tag: the authentication tag. Steps: Init(key, nonce) ct = {} ad_blocks = Split(ZeroPad(ad, 256), 256) for ai in ad_blocks: Absorb(ai) msg_blocks = Split(ZeroPad(msg, 256), 256) for xi in msg_blocks: ct = ct || Enc(xi) tag = Finalize(|ad|, |msg|) ct = Truncate(ct, |msg|) return ct and tag 3.2. Authenticated Decryption Decrypt(ct, tag, ad, key, nonce) The Decrypt function decrypts a ciphertext, verifies that the authentication tag is correct, and returns the message on success or an error if tag verification failed. Security: * If tag verification fails, the decrypted message and wrong message authentication tag MUST NOT be given as output. The decrypted message MUST be overwritten with zeros. * The comparison of the input tag with the expected_tag MUST be done in constant time. Denis & Lucas Expires 27 March 2025 [Page 9] Internet-Draft The AEGIS Family of Authenticated Encryp September 2024 Inputs: * ct: the ciphertext to be decrypted (length MUST be less than or equal to C_MAX). * tag: the authentication tag. * ad: the associated data to authenticate (length MUST be less than or equal to A_MAX). * key: the encryption key. * nonce: the public nonce. Outputs: * Either the decrypted message msg or an error indicating that the authentication tag is invalid for the given inputs. Steps: Init(key, nonce) msg = {} ad_blocks = Split(ZeroPad(ad, 256), 256) for ai in ad_blocks: Absorb(ai) ct_blocks = Split(ct, 256) cn = Tail(ct, |ct| mod 256) for ci in ct_blocks: msg = msg || Dec(ci) if cn is not empty: msg = msg || DecPartial(cn) expected_tag = Finalize(|ad|, |msg|) if CtEq(tag, expected_tag) is False: erase msg return "verification failed" error else: return msg 3.3. The Init Function Denis & Lucas Expires 27 March 2025 [Page 10] Internet-Draft The AEGIS Family of Authenticated Encryp September 2024 Init(key, nonce) The Init function constructs the initial state {S0, ...S7} using the given key and nonce. Inputs: * key: the encryption key. * nonce: the public nonce. Defines: * {S0, ...S7}: the initial state. Steps: S0 = key ^ nonce S1 = C1 S2 = C0 S3 = C1 S4 = key ^ nonce S5 = key ^ C0 S6 = key ^ C1 S7 = key ^ C0 Repeat(10, Update(nonce, key)) 3.4. The Update Function Update(M0, M1) The Update function is the core of the AEGIS-128L algorithm. It updates the state {S0, ...S7} using two 128-bit values. Inputs: * M0: the first 128-bit block to be absorbed. * M1: the second 128-bit block to be absorbed. Modifies: * {S0, ...S7}: the state. Steps: Denis & Lucas Expires 27 March 2025 [Page 11] Internet-Draft The AEGIS Family of Authenticated Encryp September 2024 S'0 = AESRound(S7, S0 ^ M0) S'1 = AESRound(S0, S1) S'2 = AESRound(S1, S2) S'3 = AESRound(S2, S3) S'4 = AESRound(S3, S4 ^ M1) S'5 = AESRound(S4, S5) S'6 = AESRound(S5, S6) S'7 = AESRound(S6, S7) S0 = S'0 S1 = S'1 S2 = S'2 S3 = S'3 S4 = S'4 S5 = S'5 S6 = S'6 S7 = S'7 3.5. The Absorb Function Absorb(ai) The Absorb function absorbs a 256-bit input block ai into the state {S0, ...S7}. Inputs: * ai: the 256-bit input block. Steps: t0, t1 = Split(ai, 128) Update(t0, t1) 3.6. The Enc Function Enc(xi) The Enc function encrypts a 256-bit input block xi using the state {S0, ...S7}. Inputs: * xi: the 256-bit input block. Outputs: * ci: the 256-bit encrypted block. Denis & Lucas Expires 27 March 2025 [Page 12] Internet-Draft The AEGIS Family of Authenticated Encryp September 2024 Steps: z0 = S6 ^ S1 ^ (S2 & S3) z1 = S2 ^ S5 ^ (S6 & S7) t0, t1 = Split(xi, 128) out0 = t0 ^ z0 out1 = t1 ^ z1 Update(t0, t1) ci = out0 || out1 return ci 3.7. The Dec Function Dec(ci) The Dec function decrypts a 256-bit input block ci using the state {S0, ...S7}. Inputs: * ci: the 256-bit encrypted block. Outputs: * xi: the 256-bit decrypted block. Steps: z0 = S6 ^ S1 ^ (S2 & S3) z1 = S2 ^ S5 ^ (S6 & S7) t0, t1 = Split(ci, 128) out0 = t0 ^ z0 out1 = t1 ^ z1 Update(out0, out1) xi = out0 || out1 return xi 3.8. The DecPartial Function DecPartial(cn) Denis & Lucas Expires 27 March 2025 [Page 13] Internet-Draft The AEGIS Family of Authenticated Encryp September 2024 The DecPartial function decrypts the last ciphertext bits cn using the state {S0, ...S7} when they do not fill an entire block. Inputs: * cn: the encrypted input. Outputs: * xn: the decryption of cn. Steps: z0 = S6 ^ S1 ^ (S2 & S3) z1 = S2 ^ S5 ^ (S6 & S7) t0, t1 = Split(ZeroPad(cn, 256), 128) out0 = t0 ^ z0 out1 = t1 ^ z1 xn = Truncate(out0 || out1, |cn|) v0, v1 = Split(ZeroPad(xn, 256), 128) Update(v0, v1) return xn 3.9. The Finalize Function Finalize(ad_len_bits, msg_len_bits) The Finalize function computes a 128- or 256-bit tag that authenticates the message and associated data. Inputs: * ad_len_bits: the length of the associated data in bits. * msg_len_bits: the length of the message in bits. Outputs: * tag: the authentication tag. Steps: Denis & Lucas Expires 27 March 2025 [Page 14] Internet-Draft The AEGIS Family of Authenticated Encryp September 2024 t = S2 ^ (LE64(ad_len_bits) || LE64(msg_len_bits)) Repeat(7, Update(t, t)) if tag_length == 16: # 128 bits tag = S0 ^ S1 ^ S2 ^ S3 ^ S4 ^ S5 ^ S6 else: # 256 bits tag = (S0 ^ S1 ^ S2 ^ S3) || (S4 ^ S5 ^ S6 ^ S7) return tag 4. The AEGIS-256 Algorithm AEGIS-256 has a 768-bit state, made of six 128-bit blocks {S0, ...S5}. The parameters for this algorithm, whose meaning is defined in [RFC5116], Section 4 are: * K_LEN (key length) is 32 bytes (256 bits). * P_MAX (maximum length of the plaintext) is 2^61 - 1 bytes (2^64 - 8 bits). * A_MAX (maximum length of the associated data) is 2^61 bytes (2^64 bits). * N_MIN (minimum nonce length) = N_MAX (maximum nonce length) = 32 bytes (256 bits). * C_MAX (maximum ciphertext length) = P_MAX + tag length = (2^61 - 1) + 16 or 32 bytes (in bits: (2^64 - 8) + 128 or 256 bits). Distinct associated data inputs, as described in [RFC5116], Section 3 shall be unambiguously encoded as a single input. It is up to the application to create a structure in the associated data input if needed. 4.1. Authenticated Encryption Encrypt(msg, ad, key, nonce) The Encrypt function encrypts a message and returns the ciphertext along with an authentication tag that verifies the authenticity of the message and associated data, if provided. Security: Denis & Lucas Expires 27 March 2025 [Page 15] Internet-Draft The AEGIS Family of Authenticated Encryp September 2024 * For a given key, the nonce MUST NOT be reused under any circumstances; doing so allows an attacker to recover the internal state. * The key MUST be randomly chosen from a uniform distribution. Inputs: * msg: the message to be encrypted (length MUST be less than or equal to P_MAX). * ad: the associated data to authenticate (length MUST be less than or equal to A_MAX). * key: the encryption key. * nonce: the public nonce. Outputs: * ct: the ciphertext. * tag: the authentication tag. Steps: Init(key, nonce) ct = {} ad_blocks = Split(ZeroPad(ad, 128), 128) for ai in ad_blocks: Absorb(ai) msg_blocks = Split(ZeroPad(msg, 128), 128) for xi in msg_blocks: ct = ct || Enc(xi) tag = Finalize(|ad|, |msg|) ct = Truncate(ct, |msg|) return ct and tag 4.2. Authenticated Decryption Decrypt(ct, tag, ad, key, nonce) Denis & Lucas Expires 27 March 2025 [Page 16] Internet-Draft The AEGIS Family of Authenticated Encryp September 2024 The Decrypt function decrypts a ciphertext, verifies that the authentication tag is correct, and returns the message on success or an error if tag verification failed. Security: * If tag verification fails, the decrypted message and wrong message authentication tag MUST NOT be given as output. The decrypted message MUST be overwritten with zeros. * The comparison of the input tag with the expected_tag MUST be done in constant time. Inputs: * ct: the ciphertext to be decrypted (length MUST be less than or equal to C_MAX). * tag: the authentication tag. * ad: the associated data to authenticate (length MUST be less than or equal to A_MAX). * key: the encryption key. * nonce: the public nonce. Outputs: * Either the decrypted message msg or an error indicating that the authentication tag is invalid for the given inputs. Steps: Denis & Lucas Expires 27 March 2025 [Page 17] Internet-Draft The AEGIS Family of Authenticated Encryp September 2024 Init(key, nonce) msg = {} ad_blocks = Split(ZeroPad(ad, 128), 128) for ai in ad_blocks: Absorb(ai) ct_blocks = Split(ZeroPad(ct, 128), 128) cn = Tail(ct, |ct| mod 128) for ci in ct_blocks: msg = msg || Dec(ci) if cn is not empty: msg = msg || DecPartial(cn) expected_tag = Finalize(|ad|, |msg|) if CtEq(tag, expected_tag) is False: erase msg return "verification failed" error else: return msg 4.3. The Init Function Init(key, nonce) The Init function constructs the initial state {S0, ...S5} using the given key and nonce. Inputs: * key: the encryption key. * nonce: the public nonce. Defines: * {S0, ...S5}: the initial state. Steps: Denis & Lucas Expires 27 March 2025 [Page 18] Internet-Draft The AEGIS Family of Authenticated Encryp September 2024 k0, k1 = Split(key, 128) n0, n1 = Split(nonce, 128) S0 = k0 ^ n0 S1 = k1 ^ n1 S2 = C1 S3 = C0 S4 = k0 ^ C0 S5 = k1 ^ C1 Repeat(4, Update(k0) Update(k1) Update(k0 ^ n0) Update(k1 ^ n1) ) 4.4. The Update Function Update(M) The Update function is the core of the AEGIS-256 algorithm. It updates the state {S0, ...S5} using a 128-bit value. Inputs: * msg: the block to be absorbed. Modifies: * {S0, ...S5}: the state. Steps: S'0 = AESRound(S5, S0 ^ M) S'1 = AESRound(S0, S1) S'2 = AESRound(S1, S2) S'3 = AESRound(S2, S3) S'4 = AESRound(S3, S4) S'5 = AESRound(S4, S5) S0 = S'0 S1 = S'1 S2 = S'2 S3 = S'3 S4 = S'4 S5 = S'5 Denis & Lucas Expires 27 March 2025 [Page 19] Internet-Draft The AEGIS Family of Authenticated Encryp September 2024 4.5. The Absorb Function Absorb(ai) The Absorb function absorbs a 128-bit input block ai into the state {S0, ...S5}. Inputs: * ai: the input block. Steps: Update(ai) 4.6. The Enc Function Enc(xi) The Enc function encrypts a 128-bit input block xi using the state {S0, ...S5}. Inputs: * xi: the input block. Outputs: * ci: the encrypted input block. Steps: z = S1 ^ S4 ^ S5 ^ (S2 & S3) Update(xi) ci = xi ^ z return ci 4.7. The Dec Function Dec(ci) The Dec function decrypts a 128-bit input block ci using the state {S0, ...S5}. Inputs: Denis & Lucas Expires 27 March 2025 [Page 20] Internet-Draft The AEGIS Family of Authenticated Encryp September 2024 * ci: the encrypted input block. Outputs: * xi: the decrypted block. Steps: z = S1 ^ S4 ^ S5 ^ (S2 & S3) xi = ci ^ z Update(xi) return xi 4.8. The DecPartial Function DecPartial(cn) The DecPartial function decrypts the last ciphertext bits cn using the state {S0, ...S5} when they do not fill an entire block. Inputs: * cn: the encrypted input. Outputs: * xn: the decryption of cn. Steps: z = S1 ^ S4 ^ S5 ^ (S2 & S3) t = ZeroPad(cn, 128) out = t ^ z xn = Truncate(out, |cn|) v = ZeroPad(xn, 128) Update(v) return xn Denis & Lucas Expires 27 March 2025 [Page 21] Internet-Draft The AEGIS Family of Authenticated Encryp September 2024 4.9. The Finalize Function Finalize(ad_len_bits, msg_len_bits) The Finalize function computes a 128- or 256-bit tag that authenticates the message and associated data. Inputs: * ad_len_bits: the length of the associated data in bits. * msg_len_bits: the length of the message in bits. Outputs: * tag: the authentication tag. Steps: t = S3 ^ (LE64(ad_len_bits) || LE64(msg_len_bits)) Repeat(7, Update(t)) if tag_length == 16: # 128 bits tag = S0 ^ S1 ^ S2 ^ S3 ^ S4 ^ S5 else: # 256 bits tag = (S0 ^ S1 ^ S2) || (S3 ^ S4 ^ S5) return tag 5. Parallel Modes Some CPUs, such as Intel and Intel-compatible CPUs with the VAES extensions, include instructions to efficiently apply the AES round function to a vector of AES blocks. AEGIS-128X and AEGIS-256X are optional, specialized modes designed to take advantage of these instructions. They share the same properties as the ciphers they are based on but can be significantly faster on these platforms, even for short messages. AEGIS-128X and AEGIS-256X are parallel evaluations of multiple AEGIS- 128L and AEGIS-256 instances respectively, with distinct initial states. On CPUs with wide vector registers, different states can be stored in different 128-bit lanes of the same vector register, allowing parallel updates using vector instructions. Denis & Lucas Expires 27 March 2025 [Page 22] Internet-Draft The AEGIS Family of Authenticated Encryp September 2024 The modes are parameterized by the parallelism degree. With 256-bit registers, 2 parallel operations can be applied to 128-bit AES blocks. With 512-bit registers, the number of instances can be raised to 4. The state of a parallel mode is represented as a vector of AEGIS-128L or AEGIS-256 states. 5.1. Additional Conventions and Definitions * D: the degree of parallelism. * R: the absorption and output rate of the mode. With AEGIS-128X, the rate is 2 * 128 * D bits. With AEGIS-256X, the rate is 128 * D bits. * V[j,i]: the j-th AES block of the i-th state. i is in the [0..D) range. For AEGIS-128X, j is in the [0..8) range, while for AEGIS- 256, j is in the [0..6) range. * V'[j,i]: the j-th AES block of the next i-th state. * ctx[i]: the i-th context separator. This is a 128-bit mask, made of a byte representing the state index, followed by a byte representing the highest index and 112 all-zero bits. * Byte(x): the value x encoded as 8 bits. 5.2. Authenticated Encryption Encrypt(msg, ad, key, nonce) The Encrypt function of AEGIS-128X resembles that of AEGIS-128L, and similarly, the Encrypt function of AEGIS-256X mirrors that of AEGIS- 256, but processes R-bit input blocks per update. Steps: Denis & Lucas Expires 27 March 2025 [Page 23] Internet-Draft The AEGIS Family of Authenticated Encryp September 2024 Init(key, nonce) ct = {} ad_blocks = Split(ZeroPad(ad, R), R) for ai in ad_blocks: Absorb(ai) msg_blocks = Split(ZeroPad(msg, R), R) for xi in msg_blocks: ct = ct || Enc(xi) tag = Finalize(|ad|, |msg|) ct = Truncate(ct, |msg|) return ct and tag 5.3. Authenticated Decryption Decrypt(ct, tag, ad, key, nonce) The Decrypt function of AEGIS-128X resembles that of AEGIS-128L, and similarly, the Decrypt function of AEGIS-256X mirrors that of AEGIS- 256, but processes R-bit input blocks per update. Steps: Denis & Lucas Expires 27 March 2025 [Page 24] Internet-Draft The AEGIS Family of Authenticated Encryp September 2024 Init(key, nonce) msg = {} ad_blocks = Split(ZeroPad(ad, R), R) for ai in ad_blocks: Absorb(ai) ct_blocks = Split(ct, R) cn = Tail(ct, |ct| mod R) for ci in ct_blocks: msg = msg || Dec(ci) if cn is not empty: msg = msg || DecPartial(cn) expected_tag = Finalize(|ad|, |msg|) if CtEq(tag, expected_tag) is False: erase msg return "verification failed" error else: return msg 5.4. AEGIS-128X 5.4.1. The Init Function Init(key, nonce) The Init function initializes a vector of D AEGIS-128L states with the same key and nonce but a different context ctx[i]. The context is added to the state before every update. Steps: Denis & Lucas Expires 27 March 2025 [Page 25] Internet-Draft The AEGIS Family of Authenticated Encryp September 2024 for i in 0..D: V[0,i] = key ^ nonce V[1,i] = C1 V[2,i] = C0 V[3,i] = C1 V[4,i] = key ^ nonce V[5,i] = key ^ C0 V[6,i] = key ^ C1 V[7,i] = key ^ C0 nonce_v = {} key_v = {} for i in 0..D: nonce_v = nonce_v || nonce key_v = key_v || key for i in 0..D: ctx[i] = ZeroPad(Byte(i) || Byte(D - 1), 128) Repeat(10, for i in 0..D: V[3,i] = V[3,i] ^ ctx[i] V[7,i] = V[7,i] ^ ctx[i] Update(nonce_v, key_v) ) 5.4.2. The Update Function Update(M0, M1) The AEGIS-128X Update function is similar to the AEGIS-128L Update function, but absorbs R (2 * 128 * D) bits at once. M0 and M1 are 128 * D bits instead of 128 bits but are split into 128-bit blocks, each of them updating a different AEGIS-128L state. Steps: Denis & Lucas Expires 27 March 2025 [Page 26] Internet-Draft The AEGIS Family of Authenticated Encryp September 2024 m0 = Split(M0, 128) m1 = Split(M1, 128) for i in 0..D: V'[0,i] = AESRound(V[7,i], V[0,i] ^ m0[i]) V'[1,i] = AESRound(V[0,i], V[1,i]) V'[2,i] = AESRound(V[1,i], V[2,i]) V'[3,i] = AESRound(V[2,i], V[3,i]) V'[4,i] = AESRound(V[3,i], V[4,i] ^ m1[i]) V'[5,i] = AESRound(V[4,i], V[5,i]) V'[6,i] = AESRound(V[5,i], V[6,i]) V'[7,i] = AESRound(V[6,i], V[7,i]) V[0,i] = V'[0,i] V[1,i] = V'[1,i] V[2,i] = V'[2,i] V[3,i] = V'[3,i] V[4,i] = V'[4,i] V[5,i] = V'[5,i] V[6,i] = V'[6,i] V[7,i] = V'[7,i] 5.4.3. The Absorb Function Absorb(ai) The Absorb function is similar to the AEGIS-128L Absorb function, but absorbs R bits instead of 256 bits. Steps: t0, t1 = Split(ai, R) Update(t0, t1) 5.4.4. The Enc Function Enc(xi) The Enc function is similar to the AEGIS-128L Enc function, but encrypts R bits instead of 256 bits. Steps: Denis & Lucas Expires 27 March 2025 [Page 27] Internet-Draft The AEGIS Family of Authenticated Encryp September 2024 z0 = {} z1 = {} for i in 0..D: z0 = z0 || (V[6,i] ^ V[1,i] ^ (V[2,i] & V[3,i])) z1 = z1 || (V[2,i] ^ V[5,i] ^ (V[6,i] & V[7,i])) t0, t1 = Split(xi, R) out0 = t0 ^ z0 out1 = t1 ^ z1 Update(t0, t1) ci = out0 || out1 return ci 5.4.5. The Dec Function Dec(ci) The Dec function is similar to the AEGIS-128L Dec function, but decrypts R bits instead of 256 bits. Steps: z0 = {} z1 = {} for i in 0..D: z0 = z0 || (V[6,i] ^ V[1,i] ^ (V[2,i] & V[3,i])) z1 = z1 || (V[2,i] ^ V[5,i] ^ (V[6,i] & V[7,i])) t0, t1 = Split(ci, R) out0 = t0 ^ z0 out1 = t1 ^ z1 Update(out0, out1) xi = out0 || out1 return xi 5.4.6. The DecPartial Function DecPartial(cn) The DecPartial function is similar to the AEGIS-128L DecPartial function, but decrypts up to R bits instead of 256 bits. Steps: Denis & Lucas Expires 27 March 2025 [Page 28] Internet-Draft The AEGIS Family of Authenticated Encryp September 2024 z0 = {} z1 = {} for i in 0..D: z0 = z0 || (V[6,i] ^ V[1,i] ^ (V[2,i] & V[3,i])) z1 = z1 || (V[2,i] ^ V[5,i] ^ (V[6,i] & V[7,i])) t0, t1 = Split(ZeroPad(cn, R), 128 * D) out0 = t0 ^ z0 out1 = t1 ^ z1 xn = Truncate(out0 || out1, |cn|) v0, v1 = Split(ZeroPad(xn, R), 128 * D) Update(v0, v1) return xn 5.4.7. The Finalize Function Finalize(ad_len_bits, msg_len_bits) The Finalize function finalizes every AEGIS-128L instance and combines the resulting authentication tags using the bitwise exclusive OR operation. Steps: t = {} u = LE64(ad_len_bits) || LE64(msg_len_bits) for i in 0..D: t = t || (V[2,i] ^ u) Repeat(7, Update(t, t)) if tag_length == 16: # 128 bits tag = ZeroPad({}, 128) for i in 0..D: tag = tag ^ V[0,i] ^ V[1,i] ^ V[2,i] ^ V[3,i] ^ V[4,i] ^ V[5,i] ^ V[6,i] else: # 256 bits tag0 = ZeroPad({}, 128) tag1 = ZeroPad({}, 128) for i in 0..D: tag0 = tag0 ^ V[0,i] ^ V[1,i] ^ V[2,i] ^ V[3,i] tag1 = tag1 ^ V[4,i] ^ V[5,i] ^ V[6,i] ^ V[7,i] tag = tag0 || tag1 return tag Denis & Lucas Expires 27 March 2025 [Page 29] Internet-Draft The AEGIS Family of Authenticated Encryp September 2024 5.5. AEGIS-256X 5.5.1. The Init Function Init(key, nonce) The Init function initializes a vector of D AEGIS-256 states with the same key and nonce but a different context ctx[i]. The context is added to the state before every update. Steps: Denis & Lucas Expires 27 March 2025 [Page 30] Internet-Draft The AEGIS Family of Authenticated Encryp September 2024 k0, k1 = Split(key, 128) n0, n1 = Split(nonce, 128) for i in 0..D: V[0,i] = k0 ^ n0 V[1,i] = k1 ^ n1 V[2,i] = C1 V[3,i] = C0 V[4,i] = k0 ^ C0 V[5,i] = k1 ^ C1 k0_v, k1_v = {}, {} k0n0_v, k1n1_v = {}, {} for i in 0..D: k0_v = k0_v || k0 k1_v = k1_v || k1 k0n0_v = k0n0_v || (k0 ^ n0) k1n1_v = k1n1_v || (k1 ^ n1) for i in 0..D: ctx[i] = ZeroPad(Byte(i) || Byte(D - 1), 128) Repeat(4, for i in 0..D: V[3,i] = V[3,i] ^ ctx[i] V[5,i] = V[5,i] ^ ctx[i] Update(k0_v) for i in 0..D: V[3,i] = V[3,i] ^ ctx[i] V[5,i] = V[5,i] ^ ctx[i] Update(k1_v) for i in 0..D: V[3,i] = V[3,i] ^ ctx[i] V[5,i] = V[5,i] ^ ctx[i] Update(k0n0_v) for i in 0..D: V[3,i] = V[3,i] ^ ctx[i] V[5,i] = V[5,i] ^ ctx[i] Update(k1n1_v) ) Denis & Lucas Expires 27 March 2025 [Page 31] Internet-Draft The AEGIS Family of Authenticated Encryp September 2024 5.5.2. The Update Function Update(M) The AEGIS-256X Update function is similar to the AEGIS-256 Update function, but absorbs R (128 * D) bits at once. M is 128 * D bits instead of 128 bits and is split into 128-bit blocks, each of them updating a different AEGIS-256 state. Steps: m = Split(M, 128) for i in 0..D: V'[0,i] = AESRound(V[5,i], V[0,i] ^ m[i]) V'[1,i] = AESRound(V[0,i], V[1,i]) V'[2,i] = AESRound(V[1,i], V[2,i]) V'[3,i] = AESRound(V[2,i], V[3,i]) V'[4,i] = AESRound(V[3,i], V[4,i]) V'[5,i] = AESRound(V[4,i], V[5,i]) V[0,i] = V'[0,i] V[1,i] = V'[1,i] V[2,i] = V'[2,i] V[3,i] = V'[3,i] V[4,i] = V'[4,i] V[5,i] = V'[5,i] 5.5.3. The Absorb Function Absorb(ai) The Absorb function is similar to the AEGIS-256 Absorb function, but absorbs R bits instead of 128 bits. Steps: Update(ai) 5.5.4. The Enc Function Enc(xi) The Enc function is similar to the AEGIS-256 Enc function, but encrypts R bits instead of 128 bits. Steps: Denis & Lucas Expires 27 March 2025 [Page 32] Internet-Draft The AEGIS Family of Authenticated Encryp September 2024 z = {} for i in 0..D: z = z || (V[1,i] ^ V[4,i] ^ V[5,i] ^ (V[2,i] & V[3,i])) Update(xi) ci = xi ^ z return ci 5.5.5. The Dec Function Dec(ci) The Dec function is similar to the AEGIS-256 Dec function, but decrypts R bits instead of 128 bits. Steps: z = {} for i in 0..D: z = z || (V[1,i] ^ V[4,i] ^ V[5,i] ^ (V[2,i] & V[3,i])) xi = ci ^ z Update(xi) return xi 5.5.6. The DecPartial Function DecPartial(cn) The DecPartial function is similar to the AEGIS-256 DecPartial function, but decrypts up to R bits instead of 128 bits. Steps: Denis & Lucas Expires 27 March 2025 [Page 33] Internet-Draft The AEGIS Family of Authenticated Encryp September 2024 z = {} for i in 0..D: z = z || (V[1,i] ^ V[4,i] ^ V[5,i] ^ (V[2,i] & V[3,i])) t = ZeroPad(cn, R) out = t ^ z xn = Truncate(out, |cn|) v = ZeroPad(xn, 128 * D) Update(v) return xn 5.5.7. The Finalize Function Finalize(ad_len_bits, msg_len_bits) The Finalize function finalizes every AEGIS-256 instance and combines the resulting authentication tags using the bitwise exclusive OR operation. Steps: t = {} u = LE64(ad_len_bits) || LE64(msg_len_bits) for i in 0..D: t = t || (V[3,i] ^ u) Repeat(7, Update(t)) if tag_length == 16: # 128 bits tag = ZeroPad({}, 128) for i in 0..D: tag = tag ^ V[0,i] ^ V[1,i] ^ V[2,i] ^ V[3,i] ^ V[4,i] ^ V[5,i] else: # 256 bits tag0 = ZeroPad({}, 128) tag1 = ZeroPad({}, 128) for i in 0..D: tag0 = tag0 ^ V[0,i] ^ V[1,i] ^ V[2,i] tag1 = tag1 ^ V[3,i] ^ V[4,i] ^ V[5,i] tag = tag0 || tag1 return tag Denis & Lucas Expires 27 March 2025 [Page 34] Internet-Draft The AEGIS Family of Authenticated Encryp September 2024 5.6. Implementation Considerations AEGIS-128X and AEGIS-256X with a degree of 1 are identical to AEGIS- 128L and AEGIS-256. This property can be used to reduce the code size of a generic implementation. In AEGIS-128X, V can be represented as eight 256-bit registers (when D = 2) or eight 512-bit registers (when D = 4). In AEGIS-256X, V can be represented as six 256-bit registers (when D = 2) or six 512-bit registers (when D = 4). With this representation, loops over 0..D in the above pseudocode can be replaced by vector instructions. 5.7. Operational Considerations The AEGIS parallel modes are specialized and can only improve performance on specific CPUs. The degrees of parallelism implementations are encouraged to support are 2 (for CPUs with 256-bit registers) and 4 (for CPUs with 512-bit registers). The resulting algorithms are called AEGIS-128X2, AEGIS- 128X4, AEGIS-256X2, and AEGIS-256X4. The following table summarizes how many bits are processed in parallel (rate), the memory requirements (state size), and the minimum vector register sizes a CPU should support for optimal performance. +=============+=============+=======================+============+ | Algorithm | Rate (bits) | Optimal Register Size | State Size | | | | | (bits) | +=============+=============+=======================+============+ | AEGIS-128L | 256 | 128 bits | 1024 | +-------------+-------------+-----------------------+------------+ | AEGIS-128X2 | 512 | 256 bits | 2048 | +-------------+-------------+-----------------------+------------+ | AEGIS-128X4 | 1024 | 512 bits | 4096 | +-------------+-------------+-----------------------+------------+ | AEGIS-256 | 128 | 128 bits | 768 | +-------------+-------------+-----------------------+------------+ | AEGIS-256X2 | 256 | 256 bits | 1536 | +-------------+-------------+-----------------------+------------+ | AEGIS-256X4 | 512 | 512 bits | 3072 | +-------------+-------------+-----------------------+------------+ Table 1 Denis & Lucas Expires 27 March 2025 [Page 35] Internet-Draft The AEGIS Family of Authenticated Encryp September 2024 Note that architectures with smaller vector registers but with many registers and large pipelines may still benefit from the parallel modes. Protocols SHOULD opt for a parallel mode only when all the involved parties agree on a specific variant. AEGIS-128L and AEGIS-256 SHOULD remain the default choices. Implementations MAY choose not to include the parallel AEGIS modes. 6. Encoding (ct, tag) Tuples Applications MAY keep the ciphertext and the authentication tag in distinct structures or encode both as a single string. In the latter case, the tag MUST immediately follow the ciphertext: combined_ct = ct || tag 7. AEGIS as a Stream Cipher All AEGIS variants can also be used as stream ciphers. Stream(len, key, nonce) The Stream function expands a key and an optional nonce into a variable-length, secure keystream. Inputs: * len: the length of the keystream to generate in bits. * key: the AEGIS key. * nonce: the nonce. If unspecified, it is set to N_MAX zero bytes. Outputs: * stream: the keystream. Steps: stream, tag = Encrypt(ZeroPad({}, len), {}, key, nonce) return stream This is equivalent to encrypting a len all-zero bits message without associated data, and discarding the authentication tag. Denis & Lucas Expires 27 March 2025 [Page 36] Internet-Draft The AEGIS Family of Authenticated Encryp September 2024 Instead of relying on the generic Encrypt function, implementations can skip the finalization step. After initialization, the Update function is called with constant parameters, allowing further optimizations. 8. Implementation Status _This note is to be removed before publishing as an RFC._ Multiple implementations of the schemes described in this document have been developed and verified for interoperability. A comprehensive list of known implementations and integrations can be found at https://github.com/cfrg/draft-irtf-cfrg-aegis-aead, which includes reference implementations closely aligned with the pseudocode provided in this document. 9. Security Considerations 9.1. Usage Guidelines 9.1.1. Key and Nonce Selection All AEGIS variants MUST be used in a nonce-respecting setting: for a given key, a nonce MUST only be used once, even with different tag lengths. Failure to do so would immediately reveal the bitwise difference between two messages. Every key MUST be randomly chosen from a uniform distribution. The nonce MAY be public or predictable. It can be a counter, the output of a permutation, or a generator with a long period. With AEGIS-128L and AEGIS-128X, random nonces can safely encrypt up to 2^48 messages using the same key with negligible (~ 2^-33, to align with NIST guidelines) collision probability. With AEGIS-256 and AEGIS-256X, random nonces can be used with no practical limits. Denis & Lucas Expires 27 March 2025 [Page 37] Internet-Draft The AEGIS Family of Authenticated Encryp September 2024 9.1.2. Key Commitment An authentication tag may verify under multiple keys, nonces, or associated data, but AEGIS is assumed to be key committing in the receiver-binding game, preventing common attacks when used with low- entropy keys such as passwords. Finding distinct keys and/or nonces that successfully verify the same (ad, ct, tag) tuple is expected to require ~2^64 attempts with a 128-bit authentication tag and ~2^128 attempts with a 256-bit tag. AEGIS is fully committing in the restricted setting where an adversary cannot control the associated data. As shown in [IR23], with the ability to alter the associated data, it is possible to efficiently find multiple keys that will verify the same authenticated ciphertext. Protocols mandating a fully committing scheme without that restriction can provide the associated data as input to a cryptographic hash function and use the output as the ad parameter of the Encrypt and Decrypt functions. The selected hash function must ensure a minimum of 128-bit preimage resistance. An instance of such a function is SHA-256 [RFC6234]. Alternatively, the associated data can be fed into a collision- resistant KDF, such as HKDF [RFC5869], via the info input to derive the key parameter. The ad parameter can then be left empty. Note that the salt input MUST NOT be used since large salts get hashed, which affects commitment. Furthermore, this requires values concatenated to form the info input to be unambiguously encoded, like by appending their lengths. 9.1.3. Multi-User Security AEGIS nonces match the size of the key. AEGIS-128L and AEGIS-128X feature 128-bit nonces, offering an extra 32 bits compared to the commonly used AEADs in IETF protocols. The AEGIS-256 and AEGIS-256X variants provide even larger nonces. With 192 random bits, 64 bits remain available to optionally encode additional information. In all these variants, unused nonce bits can encode a key identifier, enhancing multi-user security. If every key has a unique identifier, multi-target attacks don’t provide any advantage over single-target attacks. Denis & Lucas Expires 27 March 2025 [Page 38] Internet-Draft The AEGIS Family of Authenticated Encryp September 2024 9.1.4. Other Uses of AEGIS All variants can be used as a MAC by calling the Encrypt() function with the message as the ad and leaving msg empty, resulting in just a tag. However, they MUST NOT be used as a hash function; if the key is known, inputs generating state collisions can easily be crafted. Similarly, as opposed to hash-based MACs, tags MUST NOT be used for key derivation as there is no proof they are uniformly random. 9.2. Implementation Security If tag verification fails, the unverified plaintext and the computed message authentication tag MUST NOT be released. As shown in [VV18], even a partial leak of the plaintext without verification would facilitate chosen ciphertext attacks. The security of AEGIS against timing and physical attacks is limited by the implementation of the underlying AESRound() function. Failure to implement AESRound() in a fashion safe against timing and physical attacks, such as differential power analysis, timing analysis, or fault injection attacks, may lead to leakage of secret key material or state information. The exact mitigations required for timing and physical attacks also depend on the threat model in question. Regardless of the variant, the key and nonce are only required by the Init function; other functions only depend on the resulting state. Therefore, implementations can overwrite ephemeral keys with zeros right after the last Update call of the initialization function. 9.3. Security Guarantees AEGIS-256 offers 256-bit message security against plaintext and state recovery, whereas AEGIS-128L offers 128-bit security. Under the assumption that the secret key is unknown to the attacker, all AEGIS variants offer at least 128-bit security against forgery attacks. Encrypting the same message with the same key and nonce but different associated data generates distinct ciphertexts that do not reveal any additional information about the message. AEGIS has been shown to have reforgeability resilience in [FLLW17]. Without the ability to set the associated data, a successful forgery does not increase the probability of subsequent forgeries. Denis & Lucas Expires 27 March 2025 [Page 39] Internet-Draft The AEGIS Family of Authenticated Encryp September 2024 AEGIS-128X and AEGIS-256X share the same security properties and requirements as AEGIS-128L and AEGIS-256 respectively. In particular, the security level and usage limits remain the same [D23]. AEGIS is considered secure against guess-and-determine attacks aimed at recovering the state from observed ciphertexts. This resilience extends to quantum adversaries in the Q1 model, wherein quantum attacks do not confer any practical advantage for decrypting previously recorded ciphertexts or achieving key recovery. Security analyses of AEGIS can be found in [AEGIS], [M14], [FLLW17], [ENP19], [LIMS21], [JLD21], [STSI23], [IR23], [BS23], [AIKRS24], and [SSI24]. 10. IANA Considerations IANA has assigned the following identifiers in the AEAD Algorithms Registry: +================+====+ | Algorithm Name | ID | +================+====+ | AEAD_AEGIS128L | 32 | +----------------+----+ | AEAD_AEGIS256 | 33 | +----------------+----+ Table 2: AEGIS entries in the AEAD Algorithms Registry IANA is requested to update the references of these entries to refer to the final version of this document. IANA is also requested to register the following identifiers in the AEAD Algorithms Registry: * AEAD_AEGIS128X2 * AEAD_AEGIS128X4 * AEAD_AEGIS256X2 * AEAD_AEGIS256X4 11. References Denis & Lucas Expires 27 March 2025 [Page 40] Internet-Draft The AEGIS Family of Authenticated Encryp September 2024 11.1. Normative References [FIPS-AES] NIST, "Advanced encryption standard (AES)", NIST Federal Information Processing Standards Publications 197, DOI 10.6028/NIST.FIPS.197, November 2001, . [RFC2119] Bradner, S., "Key words for use in RFCs to Indicate Requirement Levels", BCP 14, RFC 2119, DOI 10.17487/RFC2119, March 1997, . [RFC5116] McGrew, D., "An Interface and Algorithms for Authenticated Encryption", RFC 5116, DOI 10.17487/RFC5116, January 2008, . [RFC5869] Krawczyk, H. and P. Eronen, "HMAC-based Extract-and-Expand Key Derivation Function (HKDF)", RFC 5869, DOI 10.17487/RFC5869, May 2010, . [RFC6234] Eastlake 3rd, D. and T. Hansen, "US Secure Hash Algorithms (SHA and SHA-based HMAC and HKDF)", RFC 6234, DOI 10.17487/RFC6234, May 2011, . [RFC8174] Leiba, B., "Ambiguity of Uppercase vs Lowercase in RFC 2119 Key Words", BCP 14, RFC 8174, DOI 10.17487/RFC8174, May 2017, . 11.2. Informative References [AEGIS] Wu, H. and B. Preneel, "AEGIS: A Fast Authenticated Encryption Algorithm (v1.1)", 2016, . [AIKRS24] Anand, R., Isobe, T., Kundu, A. K., Rahman, M., and S. Suryawanshi, "Differential fault attack on AES-based encryption schemes: application to B5G/6G ciphers—Rocca, Rocca-S and AEGIS", Journal of Cryptographic Engineering, 2024, DOI 10.1007/s13389-024-00360-6, 2024, . [BS23] Bonnetain, X. and A. Schrottenloher, "Single-query Quantum Hidden Shift Attacks", Cryptology ePrint Archive, Paper 2023/1306, 2023, . Denis & Lucas Expires 27 March 2025 [Page 41] Internet-Draft The AEGIS Family of Authenticated Encryp September 2024 [D23] Denis, F., "Adding more parallelism to the AEGIS authenticated encryption algorithms", Cryptology ePrint Archive, Paper 2023/523, 2023, . [ENP19] Eichlseder, M., Nageler, M., and R. Primas, "Analyzing the Linear Keystream Biases in AEGIS", IACR Transactions on Symmetric Cryptology, 2019(4), pp. 348–368, DOI 10.13154/tosc.v2019.i4.348-368, 2020, . [FLLW17] Forler, C., List, E., Lucks, S., and J. Wenzel, "Reforgeability of Authenticated Encryption Schemes", Cryptology ePrint Archive, Paper 2017/332, 2017, . [IR23] Isobe, T. and M. Rahman, "Key Committing Security Analysis of AEGIS", Cryptology ePrint Archive, Paper 2023/1495, 2023, . [JLD21] Jiao, L., Li, Y., and S. Du, "Guess-and-Determine Attacks on AEGIS", The Computer Journal, vol 65, 2022(8), pp. 2221–2230, DOI 10.1093/comjnl/bxab059, 2021, . [LGR21] Len, J., Grubbs, P., and T. Ristenpart, "Partitioning Oracle Attacks", 30th USENIX Security Symposium (USENIX Security 21), pp. 195–212, 2021, . [LIMS21] Liu, F., Isobe, T., Meier, W., and K. Sakamoto, "Weak Keys in Reduced AEGIS and Tiaoxin", IACR Transactions on Symmetric Cryptology, 2021(2), pp. 104–139, DOI 10.46586/tosc.v2021.i2.104-139, 2021, . [M14] Minaud, B., "Linear Biases in AEGIS Keystream", Selected Areas in Cryptography. SAC 2014. Lecture Notes in Computer Science, vol 8781, pp. 290–305, DOI 10.1007/978-3-319-13051-4_18, 2014, . Denis & Lucas Expires 27 March 2025 [Page 42] Internet-Draft The AEGIS Family of Authenticated Encryp September 2024 [SSI24] Shiraya, T., Sakamoto, K., and T. Isobe, "Bit-Wise Analysis for Forgery Attacks on AES-Based AEAD Schemes", Advances in Information and Computer Security. IWSEC 2024. Lecture Notes in Computer Science, vol 14977, DOI 10.1007/978-981-97-7737-2_1, 2024, . [STSI23] Shiraya, T., Takeuchi, N., Sakamoto, K., and T. Isobe, "MILP-based security evaluation for AEGIS/Tiaoxin-346/ Rocca", IET Information Security, vol 17, 2023(3), pp. 458-467, DOI 10.1049/ise2.12109, 2023, . [TEST-VECTORS] "AEGIS Test Vectors", commit 167cab9e, 2024, . [VV18] Vaudenay, S. and D. Vizár, "Can Caesar Beat Galois?", Applied Cryptography and Network Security. ACNS 2018. Lecture Notes in Computer Science, vol 10892, pp. 476–494, DOI 10.1007/978-3-319-93387-0_25, 2018, . Appendix A. Test Vectors The following test vectors are also available in JSON format at [TEST-VECTORS]. In this format, byte strings are represented as JSON strings containing their hexadecimal encoding. A.1. AESRound Test Vector in : 000102030405060708090a0b0c0d0e0f rk : 101112131415161718191a1b1c1d1e1f out : 7a7b4e5638782546a8c0477a3b813f43 A.2. AEGIS-128L Test Vectors A.2.1. Update Test Vector Denis & Lucas Expires 27 March 2025 [Page 43] Internet-Draft The AEGIS Family of Authenticated Encryp September 2024 S0 : 9b7e60b24cc873ea894ecc07911049a3 S1 : 330be08f35300faa2ebf9a7b0d274658 S2 : 7bbd5bd2b049f7b9b515cf26fbe7756c S3 : c35a00f55ea86c3886ec5e928f87db18 S4 : 9ebccafce87cab446396c4334592c91f S5 : 58d83e31f256371e60fc6bb257114601 S6 : 1639b56ea322c88568a176585bc915de S7 : 640818ffb57dc0fbc2e72ae93457e39a M0 : 033e6975b94816879e42917650955aa0 M1 : 033e6975b94816879e42917650955aa0 After Update: S0 : 596ab773e4433ca0127c73f60536769d S1 : 790394041a3d26ab697bde865014652d S2 : 38cf49e4b65248acd533041b64dd0611 S3 : 16d8e58748f437bfff1797f780337cee S4 : 69761320f7dd738b281cc9f335ac2f5a S5 : a21746bb193a569e331e1aa985d0d729 S6 : 09d714e6fcf9177a8ed1cde7e3d259a6 S7 : 61279ba73167f0ab76f0a11bf203bdff A.2.2. Test Vector 1 key : 10010000000000000000000000000000 nonce : 10000200000000000000000000000000 ad : msg : 00000000000000000000000000000000 ct : c1c0e58bd913006feba00f4b3cc3594e tag128: abe0ece80c24868a226a35d16bdae37a tag256: 25835bfbb21632176cf03840687cb968 cace4617af1bd0f7d064c639a5c79ee4 A.2.3. Test Vector 2 Denis & Lucas Expires 27 March 2025 [Page 44] Internet-Draft The AEGIS Family of Authenticated Encryp September 2024 key : 10010000000000000000000000000000 nonce : 10000200000000000000000000000000 ad : msg : ct : tag128: c2b879a67def9d74e6c14f708bbcc9b4 tag256: 1360dc9db8ae42455f6e5b6a9d488ea4 f2184c4e12120249335c4ee84bafe25d A.2.4. Test Vector 3 key : 10010000000000000000000000000000 nonce : 10000200000000000000000000000000 ad : 0001020304050607 msg : 000102030405060708090a0b0c0d0e0f 101112131415161718191a1b1c1d1e1f ct : 79d94593d8c2119d7e8fd9b8fc77845c 5c077a05b2528b6ac54b563aed8efe84 tag128: cc6f3372f6aa1bb82388d695c3962d9a tag256: 022cb796fe7e0ae1197525ff67e30948 4cfbab6528ddef89f17d74ef8ecd82b3 A.2.5. Test Vector 4 Denis & Lucas Expires 27 March 2025 [Page 45] Internet-Draft The AEGIS Family of Authenticated Encryp September 2024 key : 10010000000000000000000000000000 nonce : 10000200000000000000000000000000 ad : 0001020304050607 msg : 000102030405060708090a0b0c0d ct : 79d94593d8c2119d7e8fd9b8fc77 tag128: 5c04b3dba849b2701effbe32c7f0fab7 tag256: 86f1b80bfb463aba711d15405d094baf 4a55a15dbfec81a76f35ed0b9c8b04ac A.2.6. Test Vector 5 key : 10010000000000000000000000000000 nonce : 10000200000000000000000000000000 ad : 000102030405060708090a0b0c0d0e0f 101112131415161718191a1b1c1d1e1f 20212223242526272829 msg : 101112131415161718191a1b1c1d1e1f 202122232425262728292a2b2c2d2e2f 3031323334353637 ct : b31052ad1cca4e291abcf2df3502e6bd b1bfd6db36798be3607b1f94d34478aa 7ede7f7a990fec10 tag128: 7542a745733014f9474417b337399507 tag256: b91e2947a33da8bee89b6794e647baf0 fc835ff574aca3fc27c33be0db2aff98 A.2.7. Test Vector 6 This test MUST return a “verification failed” error. Denis & Lucas Expires 27 March 2025 [Page 46] Internet-Draft The AEGIS Family of Authenticated Encryp September 2024 key : 10000200000000000000000000000000 nonce : 10010000000000000000000000000000 ad : 0001020304050607 ct : 79d94593d8c2119d7e8fd9b8fc77 tag128: 5c04b3dba849b2701effbe32c7f0fab7 tag256: 86f1b80bfb463aba711d15405d094baf 4a55a15dbfec81a76f35ed0b9c8b04ac A.2.8. Test Vector 7 This test MUST return a “verification failed” error. key : 10010000000000000000000000000000 nonce : 10000200000000000000000000000000 ad : 0001020304050607 ct : 79d94593d8c2119d7e8fd9b8fc78 tag128: 5c04b3dba849b2701effbe32c7f0fab7 tag256: 86f1b80bfb463aba711d15405d094baf 4a55a15dbfec81a76f35ed0b9c8b04ac A.2.9. Test Vector 8 This test MUST return a “verification failed” error. key : 10010000000000000000000000000000 nonce : 10000200000000000000000000000000 ad : 0001020304050608 ct : 79d94593d8c2119d7e8fd9b8fc77 tag128: 5c04b3dba849b2701effbe32c7f0fab7 tag256: 86f1b80bfb463aba711d15405d094baf 4a55a15dbfec81a76f35ed0b9c8b04ac Denis & Lucas Expires 27 March 2025 [Page 47] Internet-Draft The AEGIS Family of Authenticated Encryp September 2024 A.2.10. Test Vector 9 This test MUST return a “verification failed” error. key : 10010000000000000000000000000000 nonce : 10000200000000000000000000000000 ad : 0001020304050607 ct : 79d94593d8c2119d7e8fd9b8fc77 tag128: 6c04b3dba849b2701effbe32c7f0fab8 tag256: 86f1b80bfb463aba711d15405d094baf 4a55a15dbfec81a76f35ed0b9c8b04ad A.3. AEGIS-256 Test Vectors A.3.1. Update Test Vector S0 : 1fa1207ed76c86f2c4bb40e8b395b43e S1 : b44c375e6c1e1978db64bcd12e9e332f S2 : 0dab84bfa9f0226432ff630f233d4e5b S3 : d7ef65c9b93e8ee60c75161407b066e7 S4 : a760bb3da073fbd92bdc24734b1f56fb S5 : a828a18d6a964497ac6e7e53c5f55c73 M : b165617ed04ab738afb2612c6d18a1ec After Update: S0 : e6bc643bae82dfa3d991b1b323839dcd S1 : 648578232ba0f2f0a3677f617dc052c3 S2 : ea788e0e572044a46059212dd007a789 S3 : 2f1498ae19b80da13fba698f088a8590 S4 : a54c2ee95e8c2a2c3dae2ec743ae6b86 S5 : a3240fceb68e32d5d114df1b5363ab67 A.3.2. Test Vector 1 Denis & Lucas Expires 27 March 2025 [Page 48] Internet-Draft The AEGIS Family of Authenticated Encryp September 2024 key : 10010000000000000000000000000000 00000000000000000000000000000000 nonce : 10000200000000000000000000000000 00000000000000000000000000000000 ad : msg : 00000000000000000000000000000000 ct : 754fc3d8c973246dcc6d741412a4b236 tag128: 3fe91994768b332ed7f570a19ec5896e tag256: 1181a1d18091082bf0266f66297d167d 2e68b845f61a3b0527d31fc7b7b89f13 A.3.3. Test Vector 2 key : 10010000000000000000000000000000 00000000000000000000000000000000 nonce : 10000200000000000000000000000000 00000000000000000000000000000000 ad : msg : ct : tag128: e3def978a0f054afd1e761d7553afba3 tag256: 6a348c930adbd654896e1666aad67de9 89ea75ebaa2b82fb588977b1ffec864a A.3.4. Test Vector 3 Denis & Lucas Expires 27 March 2025 [Page 49] Internet-Draft The AEGIS Family of Authenticated Encryp September 2024 key : 10010000000000000000000000000000 00000000000000000000000000000000 nonce : 10000200000000000000000000000000 00000000000000000000000000000000 ad : 0001020304050607 msg : 000102030405060708090a0b0c0d0e0f 101112131415161718191a1b1c1d1e1f ct : f373079ed84b2709faee373584585d60 accd191db310ef5d8b11833df9dec711 tag128: 8d86f91ee606e9ff26a01b64ccbdd91d tag256: b7d28d0c3c0ebd409fd22b4416050307 3a547412da0854bfb9723020dab8da1a A.3.5. Test Vector 4 key : 10010000000000000000000000000000 00000000000000000000000000000000 nonce : 10000200000000000000000000000000 00000000000000000000000000000000 ad : 0001020304050607 msg : 000102030405060708090a0b0c0d ct : f373079ed84b2709faee37358458 tag128: c60b9c2d33ceb058f96e6dd03c215652 tag256: 8c1cc703c81281bee3f6d9966e14948b 4a175b2efbdc31e61a98b4465235c2d9 A.3.6. Test Vector 5 Denis & Lucas Expires 27 March 2025 [Page 50] Internet-Draft The AEGIS Family of Authenticated Encryp September 2024 key : 10010000000000000000000000000000 00000000000000000000000000000000 nonce : 10000200000000000000000000000000 00000000000000000000000000000000 ad : 000102030405060708090a0b0c0d0e0f 101112131415161718191a1b1c1d1e1f 20212223242526272829 msg : 101112131415161718191a1b1c1d1e1f 202122232425262728292a2b2c2d2e2f 3031323334353637 ct : 57754a7d09963e7c787583a2e7b859bb 24fa1e04d49fd550b2511a358e3bca25 2a9b1b8b30cc4a67 tag128: ab8a7d53fd0e98d727accca94925e128 tag256: a3aca270c006094d71c20e6910b5161c 0826df233d08919a566ec2c05990f734 A.3.7. Test Vector 6 This test MUST return a “verification failed” error. key : 10000200000000000000000000000000 00000000000000000000000000000000 nonce : 10010000000000000000000000000000 00000000000000000000000000000000 ad : 0001020304050607 ct : f373079ed84b2709faee37358458 tag128: c60b9c2d33ceb058f96e6dd03c215652 tag256: 8c1cc703c81281bee3f6d9966e14948b 4a175b2efbdc31e61a98b4465235c2d9 A.3.8. Test Vector 7 This test MUST return a “verification failed” error. Denis & Lucas Expires 27 March 2025 [Page 51] Internet-Draft The AEGIS Family of Authenticated Encryp September 2024 key : 10010000000000000000000000000000 00000000000000000000000000000000 nonce : 10000200000000000000000000000000 00000000000000000000000000000000 ad : 0001020304050607 ct : f373079ed84b2709faee37358459 tag128: c60b9c2d33ceb058f96e6dd03c215652 tag256: 8c1cc703c81281bee3f6d9966e14948b 4a175b2efbdc31e61a98b4465235c2d9 A.3.9. Test Vector 8 This test MUST return a “verification failed” error. key : 10010000000000000000000000000000 00000000000000000000000000000000 nonce : 10000200000000000000000000000000 00000000000000000000000000000000 ad : 0001020304050608 ct : f373079ed84b2709faee37358458 tag128: c60b9c2d33ceb058f96e6dd03c215652 tag256: 8c1cc703c81281bee3f6d9966e14948b 4a175b2efbdc31e61a98b4465235c2d9 A.3.10. Test Vector 9 This test MUST return a “verification failed” error. Denis & Lucas Expires 27 March 2025 [Page 52] Internet-Draft The AEGIS Family of Authenticated Encryp September 2024 key : 10010000000000000000000000000000 00000000000000000000000000000000 nonce : 10000200000000000000000000000000 00000000000000000000000000000000 ad : 0001020304050607 ct : f373079ed84b2709faee37358458 tag128: c60b9c2d33ceb058f96e6dd03c215653 tag256: 8c1cc703c81281bee3f6d9966e14948b 4a175b2efbdc31e61a98b4465235c2da A.4. AEGIS-128X2 Test Vectors A.4.1. Initial State key : 000102030405060708090a0b0c0d0e0f nonce : 101112131415161718191a1b1c1d1e1f ctx[0]: 00010000000000000000000000000000 ctx[1]: 01010000000000000000000000000000 After initialization: Denis & Lucas Expires 27 March 2025 [Page 53] Internet-Draft The AEGIS Family of Authenticated Encryp September 2024 V[0,0]: a4fc1ad9a72942fb88bd2cabbba6509a V[0,1]: 80a40e392fc71084209b6c3319bdc6cc V[1,0]: 380f435cf801763b1f0c2a2f7212052d V[1,1]: 73796607b59b1b650ee91c152af1f18a V[2,0]: 6ee1de433ea877fa33bc0782abff2dcb V[2,1]: b9fab2ab496e16d1facaffd5453cbf14 V[3,0]: 85f94b0d4263bfa86fdf45a603d8b6ac V[3,1]: 90356c8cadbaa2c969001da02e3feca0 V[4,0]: 09bd69ad3730174bcd2ce9a27cd1357e V[4,1]: e610b45125796a4fcf1708cef5c4f718 V[5,0]: fcdeb0cf0a87bf442fc82383ddb0f6d6 V[5,1]: 61ad32a4694d6f3cca313a2d3f4687aa V[6,0]: 571c207988659e2cdfbdaae77f4f37e3 V[6,1]: 32e6094e217573bf91fb28c145a3efa8 V[7,0]: ca549badf8faa58222412478598651cf V[7,1]: 3407279a54ce76d2e2e8a90ec5d108eb A.4.2. Test Vector 1 key : 000102030405060708090a0b0c0d0e0f nonce : 101112131415161718191a1b1c1d1e1f ad : msg : ct : tag128: 63117dc57756e402819a82e13eca8379 tag256: b92c71fdbd358b8a4de70b27631ace90 cffd9b9cfba82028412bac41b4f53759 A.4.3. Test Vector 2 Denis & Lucas Expires 27 March 2025 [Page 54] Internet-Draft The AEGIS Family of Authenticated Encryp September 2024 key : 000102030405060708090a0b0c0d0e0f nonce : 101112131415161718191a1b1c1d1e1f ad : 0102030401020304 msg : 04050607040506070405060704050607 04050607040506070405060704050607 04050607040506070405060704050607 04050607040506070405060704050607 04050607040506070405060704050607 04050607040506070405060704050607 04050607040506070405060704050607 0405060704050607 ct : 5795544301997f93621b278809d6331b 3bfa6f18e90db12c4aa35965b5e98c5f c6fb4e54bcb6111842c20637252eff74 7cb3a8f85b37de80919a589fe0f24872 bc926360696739e05520647e390989e1 eb5fd42f99678a0276a498f8c454761c 9d6aacb647ad56be62b29c22cd4b5761 b38f43d5a5ee062f tag128: 1aebc200804f405cab637f2adebb6d77 tag256: c471876f9b4978c44f2ae1ce770cdb11 a094ee3feca64e7afcd48bfe52c60eca A.5. AEGIS-128X4 Test Vectors A.5.1. Initial State key : 000102030405060708090a0b0c0d0e0f nonce : 101112131415161718191a1b1c1d1e1f ctx[0]: 00030000000000000000000000000000 ctx[1]: 01030000000000000000000000000000 ctx[2]: 02030000000000000000000000000000 ctx[3]: 03030000000000000000000000000000 After initialization: Denis & Lucas Expires 27 March 2025 [Page 55] Internet-Draft The AEGIS Family of Authenticated Encryp September 2024 V[0,0]: 924eb07635003a37e6c6575ba8ce1929 V[0,1]: c8b6a5d91475445e936d48e794be0ce2 V[0,2]: fcd37d050e24084befe3bbb219d64760 V[0,3]: 2e9f58cfb893a8800220242c373a8b18 V[1,0]: 1a1f60c4fab64e5471dc72edfcf6fe6b V[1,1]: c1e525ebea2d6375a9edd045dce96381 V[1,2]: 97a3e25abd228a44d4a14a6d3fe9185c V[1,3]: c2d4cf7f4287a98744645674265d4ca8 V[2,0]: 7bb50c534f6ec4780530ff1cce8a16e8 V[2,1]: 7b08d57557da0b5ef7b5f7d98b0ba189 V[2,2]: 6bfcac34ddb68404821a4d665303cb0f V[2,3]: d95626f6dfad1aed7467622c38529932 V[3,0]: af339fd2d50ee45fc47665c647cf6586 V[3,1]: d0669b39d140f0e118a4a511efe2f95a V[3,2]: 7a94330f35c194fadda2a87e42cdeccc V[3,3]: 233b640d1f4d56e2757e72c1a9d8ecb1 V[4,0]: 9f93737d699ba05c11e94f2b201bef5e V[4,1]: 61caf387cf7cfd3f8300ac7680ccfd76 V[4,2]: 5825a671ecef03b7a9c98a601ae32115 V[4,3]: 87a1fe4d558161a8f4c38731f3223032 V[5,0]: 7a5aca78d636c05bbc702b2980196ab6 V[5,1]: 915d868408495d07eb527789f282c575 V[5,2]: d0947bfbc1d3309cdffc9be1503aea62 V[5,3]: 8834ea57a15b9fbdc0245464a4b8cbef V[6,0]: e46f4cf71a95ac45b6f0823e3aba1a86 V[6,1]: 8c4ecef682fc44a8eba911b3fc7d99f9 V[6,2]: a4fb61e2c928a2ca760b8772f2ea5f2e V[6,3]: 3d34ea89da73caa3016c280500a155a3 V[7,0]: 85075f0080e9d618e7eb40f57c32d9f7 V[7,1]: d2ab2b320c6e93b155a3787cb83e5281 V[7,2]: 0b3af0250ae36831a1b072e499929bcb V[7,3]: 5cce4d00329d69f1aae36aa541347512 A.5.2. Test Vector 1 Denis & Lucas Expires 27 March 2025 [Page 56] Internet-Draft The AEGIS Family of Authenticated Encryp September 2024 key : 000102030405060708090a0b0c0d0e0f nonce : 101112131415161718191a1b1c1d1e1f ad : msg : ct : tag128: 5bef762d0947c00455b97bb3af30dfa3 tag256: a4b25437f4be93cfa856a2f27e4416b4 2cac79fd4698f2cdbe6af25673e10a68 A.5.3. Test Vector 2 key : 000102030405060708090a0b0c0d0e0f nonce : 101112131415161718191a1b1c1d1e1f ad : 0102030401020304 msg : 04050607040506070405060704050607 04050607040506070405060704050607 04050607040506070405060704050607 04050607040506070405060704050607 04050607040506070405060704050607 04050607040506070405060704050607 04050607040506070405060704050607 0405060704050607 ct : e836118562f4479c9d35c17356a83311 4c21f9aa39e4dda5e5c87f4152a00fce 9a7c38f832eafe8b1c12f8a7cf12a81a 1ad8a9c24ba9dedfbdaa586ffea67ddc 801ea97d9ab4a872f42d0e352e2713da cd609f9442c17517c5a29daf3e2a3fac 4ff6b1380c4e46df7b086af6ce6bc1ed 594b8dd64aed2a7e tag128: 0e56ab94e2e85db80f9d54010caabfb4 tag256: 69abf0f64a137dd6e122478d777e98bc 422823006cf57f5ee822dd78397230b2 A.6. AEGIS-256X2 Test Vectors Denis & Lucas Expires 27 March 2025 [Page 57] Internet-Draft The AEGIS Family of Authenticated Encryp September 2024 A.6.1. Initial State key : 000102030405060708090a0b0c0d0e0f 101112131415161718191a1b1c1d1e1f nonce : 101112131415161718191a1b1c1d1e1f 202122232425262728292a2b2c2d2e2f ctx[0]: 00010000000000000000000000000000 ctx[1]: 01010000000000000000000000000000 After initialization: V[0,0]: eca2bf4538442e8712d4972595744039 V[0,1]: 201405efa9264f07911db58101903087 V[1,0]: 3e536a998799408a97f3479a6f779d48 V[1,1]: 0d79a7d822a5d215f78c3bf2feb33ae1 V[2,0]: cf8c63d6f2b4563cdd9231107c85950e V[2,1]: 78d17ed7d8d563ff11bd202c76864839 V[3,0]: d7e0707e6bfbbad913bc94b6993a9fa0 V[3,1]: 097e4b1bff40d4c19cb29dfd125d62f2 V[4,0]: a373cf6d537dd66bc0ef0f2f9285359f V[4,1]: c0d0ae0c48f9df3faaf0e7be7768c326 V[5,0]: 9f76560dcae1efacabdcce446ae283bc V[5,1]: bd52a6b9c8f976a26ec1409df19e8bfe A.6.2. Test Vector 1 Denis & Lucas Expires 27 March 2025 [Page 58] Internet-Draft The AEGIS Family of Authenticated Encryp September 2024 key : 000102030405060708090a0b0c0d0e0f 101112131415161718191a1b1c1d1e1f nonce : 101112131415161718191a1b1c1d1e1f 202122232425262728292a2b2c2d2e2f ad : msg : ct : tag128: 62cdbab084c83dacdb945bb446f049c8 tag256: 25d7e799b49a80354c3f881ac2f1027f 471a5d293052bd9997abd3ae84014bb7 A.6.3. Test Vector 2 Denis & Lucas Expires 27 March 2025 [Page 59] Internet-Draft The AEGIS Family of Authenticated Encryp September 2024 key : 000102030405060708090a0b0c0d0e0f 101112131415161718191a1b1c1d1e1f nonce : 101112131415161718191a1b1c1d1e1f 202122232425262728292a2b2c2d2e2f ad : 0102030401020304 msg : 04050607040506070405060704050607 04050607040506070405060704050607 04050607040506070405060704050607 04050607040506070405060704050607 04050607040506070405060704050607 04050607040506070405060704050607 04050607040506070405060704050607 0405060704050607 ct : 73110d21a920608fd77b580f1e442808 7a7365cb153b4eeca6b62e1a70f7f9a8 d1f31f17da4c3acfacb2517f2f5e1575 8c35532e33751a964d18d29a599d2dc0 7f9378339b9d8c9fa03d30a4d7837cc8 eb8b99bcbba2d11cd1a0f994af2b8f94 7ef18473bd519e5283736758480abc99 0e79d4ccab93dde9 tag128: 94a3bd44ad3381e36335014620ee638e tag256: 0392c62b17ddb00c172a010b5a327d0f 97317b6fbaee31ef741f004d7adc1e81 A.7. AEGIS-256X4 Test Vectors A.7.1. Initial State key : 000102030405060708090a0b0c0d0e0f 101112131415161718191a1b1c1d1e1f nonce : 101112131415161718191a1b1c1d1e1f 202122232425262728292a2b2c2d2e2f ctx[0]: 00030000000000000000000000000000 ctx[1]: 01030000000000000000000000000000 ctx[2]: 02030000000000000000000000000000 ctx[3]: 03030000000000000000000000000000 After initialization: Denis & Lucas Expires 27 March 2025 [Page 60] Internet-Draft The AEGIS Family of Authenticated Encryp September 2024 V[0,0]: 482a86e8436cd2361063a4b2702769b9 V[0,1]: d95a2be81c9245b22996f68eea0122f9 V[0,2]: 0c2a3b348b1a5e256c6751377318c41e V[0,3]: f64436a21653fe7cf2e0829a177db383 V[1,0]: e705e8866267717d96092e58e78b574c V[1,1]: d1dd412142df9806cc267af2fe1d830e V[1,2]: 30e7dfd3c9941b8394e95bdf5bac99d9 V[1,3]: 9f27186f8a4fab86820689822c3c74d2 V[2,0]: e1aa6af5d9e31dde8d94a48a0810fa89 V[2,1]: 63555cdf0d98f18fb75b029ad80786c0 V[2,2]: a3ee0e4a3429a9539e4fcec385475608 V[2,3]: 28ea527d31ef61df498dc107fe02df99 V[3,0]: 37f06808410c8f3954525ae44584d3be V[3,1]: 8fcc23bca2fe2209f93d34e2da35b33d V[3,2]: 33156347df89eaa69ab11096362daccf V[3,3]: bbe58d9dbe8c5b0469be5a87086db5d4 V[4,0]: d1c9eb37fecbc5ada7b351fa4f501f32 V[4,1]: 0b9b803283c1538628b507c8f6432434 V[4,2]: bfb8b6d4f87cce28825c7e92f54b8728 V[4,3]: 8917bb5b09c32f900c6a5a1d63c46264 V[5,0]: 4f6110c2ef0c3c687e90c1e5532ddf8e V[5,1]: 031bd85d99f64684d23728a0453c72a1 V[5,2]: 10bc7ec34d4119b5bdeb6c7dfc458247 V[5,3]: 591ece530aeaa5c9867220156f5c25e3 A.7.2. Test Vector 1 key : 000102030405060708090a0b0c0d0e0f 101112131415161718191a1b1c1d1e1f nonce : 101112131415161718191a1b1c1d1e1f 202122232425262728292a2b2c2d2e2f ad : msg : ct : tag128: 3b7fee6cee7bf17888ad11ed2397beb4 tag256: 6093a1a8aab20ec635dc1ca71745b01b 5bec4fc444c9ffbebd710d4a34d20eaf Denis & Lucas Expires 27 March 2025 [Page 61] Internet-Draft The AEGIS Family of Authenticated Encryp September 2024 A.7.3. Test Vector 2 key : 000102030405060708090a0b0c0d0e0f 101112131415161718191a1b1c1d1e1f nonce : 101112131415161718191a1b1c1d1e1f 202122232425262728292a2b2c2d2e2f ad : 0102030401020304 msg : 04050607040506070405060704050607 04050607040506070405060704050607 04050607040506070405060704050607 04050607040506070405060704050607 04050607040506070405060704050607 04050607040506070405060704050607 04050607040506070405060704050607 0405060704050607 ct : bec109547f8316d598b3b7d947ad4c0e f5b98e217cffa0d858ad49ae34109a95 abc5b5fada820c4d6ae2fca0f5e2444e 52a04a1edb7bec71408de3e199500521 94506be3ba6a4de51a15a577ea0e4c14 f7539a13e751a555f48d0f49fecffb22 0525e60d381e2efa803b09b7164ba59f dc66656affd51e06 tag128: ec44b512d713f745547be345bcc66b6c tag256: ba3168ecd7f7120c5e204a7e0d616e39 5675ddfe00e4e5490a5ba93bb1a70555 Acknowledgments The AEGIS authenticated encryption algorithm was invented by Hongjun Wu and Bart Preneel. The round function leverages the AES permutation invented by Joan Daemen and Vincent Rijmen. They also authored the Pelican MAC, which partly motivated the design of the AEGIS MAC. We would like to thank the following individuals for their contributions: * Eric Lagergren and Daniel Bleichenbacher for catching a broken test vector and Daniel Bleichenbacher for many helpful suggestions. Denis & Lucas Expires 27 March 2025 [Page 62] Internet-Draft The AEGIS Family of Authenticated Encryp September 2024 * John Preuß Mattsson for his review of the draft, and for suggesting how AEGIS should be used in the context of DTLS and QUIC. * Bart Mennink and Charlotte Lefevre as well as Takanori Isobe and Mostafizar Rahman for investigating the commitment security of the schemes specified in this document. Authors' Addresses Frank Denis Fastly Inc. Email: fde@00f.net Samuel Lucas Individual Contributor Email: samuel-lucas6@pm.me Denis & Lucas Expires 27 March 2025 [Page 63]