Internet-Draft The AEGIS family of authenticated encryp June 2022
Denis, et al. Expires 7 December 2022 [Page]
Workgroup:
Network Working Group
Internet-Draft:
draft-denis-aegis-aead-05
Published:
Intended Status:
Informational
Expires:
Authors:
F. Denis
Fastly Inc.
F. E. R. Scotoni
Individual Contributor
S. Lucas
Individual Contributor

The AEGIS family of authenticated encryption algorithms

Abstract

This document describes AEGIS-128L and AEGIS-256, two AES-based authenticated encryption algorithms designed for high-performance applications.

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/jedisct1/draft-aegis-aead.

Status of This Memo

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▲

Table of Contents

1. Introduction

This document describes the AEGIS-128L and AEGIS-256 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 constructed from the AES encryption round function [FIPS-AES]. This document specifies:

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.

Unlike with AES-GCM, nonces can be safely chosen at random with no practical limit when using AEGIS-256. AEGIS-128L also allows 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 in order 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.

A key-committing AEAD scheme is more resistant against partitioning oracle attacks than non-committing AEAD schemes, making it significantly harder to find multiple keys that are valid for a given authentication tag. As of the time of writing, no research has been published claiming that AEGIS is not a key-committing AEAD scheme.

Finally, unlike most other AES-based AEAD constructions, such as Rocca and Tiaoxin, leaking the state does not leak the key.

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 Finalize() respectively. We follow the specification of [AEGIS] that is current at the time of writing, 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.

Primitives:

AEGIS internal functions:

Input blocks are 256 bits for AEGIS-128L and 128 bits for AEGIS-256.

AES blocks:

AES blocks are always 128 bits in length.

Input and output values:

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:

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 P_MAX).
  • ad: the associated data to authenticate (length MUST be less than 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(Pad(ad, 256), 256)
for xi in ad_blocks:
    Enc(xi)

msg_blocks = Split(Pad(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.

Inputs:

  • ct: the ciphertext to be decrypted (length MUST be less than C_MAX).
  • tag: the authentication tag.
  • ad: the associated data to authenticate (length MUST be less than 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(Pad(ad, 256), 256)
for xi in ad_blocks:
    Enc(xi)

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 

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 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:

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 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.

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

3.6. 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

3.7. The DecPartial Function 

DecPartial(cn)

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(Pad(cn, 256), 128)
out0 = t0 ^ z0
out1 = t1 ^ z1

xn = Truncate(out0 || out1, |cn|)

v0, v1 = Split(Pad(xn, 256), 128)
Update(v0, v1)

return xn

3.8. The Finalize Function 

Finalize(ad_len, msg_len)

The Finalize function computes a 128-bit tag that authenticates the message and associated data.

Inputs:

  • ad_len: the length of the associated data in bits.
  • msg_len: the length of the message in bits.

Outputs:

  • tag: the authentication tag.

Steps:

t = S2 ^ (LE64(ad_len) || LE64(msg_len))

Repeat(7, Update(t, t))

tag = S0 ^ S1 ^ S2 ^ S3 ^ S4 ^ S5 ^ S6

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:

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:

  • 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 M_MAX).
  • ad: the associated data to authenticate (length MUST be less than 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(Pad(ad, 128), 128)
for xi in ad_blocks:
    Enc(xi)

msg_blocks = Split(Pad(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)

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 C_MAX).
  • tag: the authentication tag.
  • ad: the associated data to authenticate (length MUST be less than 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(Pad(ad, 128), 128)
for xi in ad_blocks:
    Enc(xi)

ct_blocks = Split(Pad(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 nonce.

Defines:

  • {S0, ...S5}: the initial state.

Steps:

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

4.5. 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

4.6. The Dec Function 

Dec(ci)

The Dec function decrypts a 128-bit input block ci using the state {S0, ...S5}.

Inputs:

  • ci: the encrypted input block.

Outputs:

  • xi: the decrypted block.

Steps:

z = S1 ^ S4 ^ S5 ^ (S2 & S3)

xi = ci ^ z

Update(xi)

return xi

It returns the 128-bit block out.

4.7. 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 = Pad(ci, 128)
out = t ^ z

xn = Truncate(out, |cn|)

v = Pad(xn, 128)
Update(v)

return xn

4.8. The Finalize Function 

Finalize(ad_len, msg_len)

The Finalize function computes a 128-bit tag that authenticates the message and associated data.

Inputs:

  • ad_len: the length of the associated data in bits.
  • msg_len: the length of the message in bits.

Outputs:

  • tag: the authentication tag.

Steps:

t = S3 ^ (LE64(ad_len) || LE64(msg_len))

Repeat(7, Update(t))

tag = S0 ^ S1 ^ S2 ^ S3 ^ S4 ^ S5

return tag

5. Encoding (ct, tag) Tuples

Applications MAY keep the ciphertext and the 128-bit 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

6. Security Considerations

AEGIS-256 offers 256-bit message security against plaintext and state recovery, whereas AEGIS-128L offers 128-bit security. Both have a 128-bit authentication tag, which implies that a given tag may verify under multiple keys. However, assuming AEGIS is key-committing, finding equivalent keys is expected to be significantly more difficult than for authentication schemes based on polynomial evaluation, such as GCM and Poly1305.

Under the assumption that the secret key is unknown to the attacker and the tag is not truncated, both AEGIS-128L and AEGIS-256 target 128-bit security against forgery attacks.

Both algorithms MUST be used in a nonce-respecting setting: for a given key, a nonce MUST only be used once. Failure to do so would immediately reveal the bitwise difference between two messages.

If tag verification fails, the decrypted message and wrong message authentication tag MUST NOT be given as output. As shown in the analysis of the (robustness of CAESAR candidates beyond their guarantees)[CRA18], even a partial leak of the plaintext without verification would facilitate chosen ciphertext attacks.

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, random nonces can safely encrypt up to 248 messages using the same key with negligible collision probability.

With AEGIS-256, random nonces can be used with no practical limits.

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.

Security analyses of AEGIS can be found in Chapter 4 of [AEGIS], in [Min14], in [ENP19], in [LIMS21], and in [JLD21].

7. IANA Considerations

IANA is requested to assign entries for AEAD_AEGIS128L and AEAD_AEGIS256 in the AEAD Registry with this document as reference.

8. References

8.1. Normative References

[FIPS-AES]
National Institute of Standards and Technology, "Advanced Encryption Standard (AES)", FIPS PUB 197, , <http://csrc.nist.gov/publications/fips/fips197/fips-197.pdf>.
[RFC2119]
Bradner, S., "Key words for use in RFCs to Indicate Requirement Levels", BCP 14, RFC 2119, DOI 10.17487/RFC2119, , <https://www.rfc-editor.org/rfc/rfc2119>.
[RFC5116]
McGrew, D., "An Interface and Algorithms for Authenticated Encryption", RFC 5116, DOI 10.17487/RFC5116, , <https://www.rfc-editor.org/rfc/rfc5116>.
[RFC8174]
Leiba, B., "Ambiguity of Uppercase vs Lowercase in RFC 2119 Key Words", BCP 14, RFC 8174, DOI 10.17487/RFC8174, , <https://www.rfc-editor.org/rfc/rfc8174>.

8.2. Informative References

[AEGIS]
Wu, H. and B. Preneel, "AEGIS: A fast encryption algorithm (v1.1)", , <https://competitions.cr.yp.to/round3/aegisv11.pdf>.
[CRA18]
Vaudenay, S. and D. Vizár, "Can Caesar Beat Galois? Robustness of CAESAR Candidates against Nonce Reusing and High Data Complexity Attacks", 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, , <https://doi.org/10.1007/978-3-319-93387-0_25>.
[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, , <https://doi.org/10.13154/tosc.v2019.i4.348-368>.
[JLD21]
Jiao, L., Li, Y., and S. Du, "Guess-and-Determine Attacks on AEGIS", The Computer Journal, DOI 10.1093/comjnl/bxab059, , <https://doi.org/10.1093/comjnl/bxab059>.
[LGR21]
Len, J., Grubbs, P., and T. Ristenpart, "Partitioning Oracle Attacks", 30th USENIX Security Symposium (USENIX Security 21), pp. 195–212, , <https://www.usenix.org/conference/usenixsecurity21/presentation/len>.
[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, , <https://eprint.iacr.org/2021/187>.
[Min14]
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, , <https://eprint.iacr.org/2018/292>.

Appendix A. Test Vectors

A.1. AESRound Test Vector 

in   : 000102030405060708090a0b0c0d0e0f

rk   : 101112131415161718191a1b1c1d1e1f

out  : 7a7b4e5638782546a8c0477a3b813f43

A.2. AEGIS-128L Test Vectors

A.2.1. Update Test Vector 

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  : 00000000000000000000000000000000

nonce: 00000000000000000000000000000000

ad   :

msg  : 00000000000000000000000000000000

ct   : 41de9000a7b5e40e2d68bb64d99ebb19

tag  : f4d997cc9b94227ada4fe4165422b1c8

A.2.3. Test Vector 2 

key  : 00000000000000000000000000000000

nonce: 00000000000000000000000000000000

ad   :

msg  :

ct   :

tag  : 83cc600dc4e3e7e62d4055826174f149

A.2.4. Test Vector 3 

key  : 10010000000000000000000000000000

nonce: 10000200000000000000000000000000

ad   : 0001020304050607

msg  : 000102030405060708090a0b0c0d0e0f
       101112131415161718191a1b1c1d1e1f

ct   : 79d94593d8c2119d7e8fd9b8fc77845c
       5c077a05b2528b6ac54b563aed8efe84

tag  : cc6f3372f6aa1bb82388d695c3962d9a

A.2.5. Test Vector 4 

key  : 10010000000000000000000000000000

nonce: 10000200000000000000000000000000

ad   : 0001020304050607

msg  : 000102030405060708090a0b0c0d

ct   : 79d94593d8c2119d7e8fd9b8fc77

tag  : 5c04b3dba849b2701effbe32c7f0fab7

A.2.6. Test Vector 5 

key  : 10010000000000000000000000000000

nonce: 10000200000000000000000000000000

ad   : 000102030405060708090a0b0c0d0e0f
       101112131415161718191a1b1c1d1e1f
       20212223242526272829

msg  : 101112131415161718191a1b1c1d1e1f
       202122232425262728292a2b2c2d2e2f
       3031323334353637

ct   : b31052ad1cca4e291abcf2df3502e6bd
       b1bfd6db36798be3607b1f94d34478aa
       7ede7f7a990fec10

tag  : 7542a745733014f9474417b337399507

A.2.7. Test Vector 6

This test MUST return a "verification failed" error.

key  : 10000200000000000000000000000000

nonce: 10010000000000000000000000000000

ad   : 0001020304050607

msg  :

ct   : 79d94593d8c2119d7e8fd9b8fc77

tag  : 5c04b3dba849b2701effbe32c7f0fab7

A.2.8. Test Vector 7

This test MUST return a "verification failed" error.

key  : 10010000000000000000000000000000

nonce: 10000200000000000000000000000000

ad   : 0001020304050607

msg  :

ct   : 79d94593d8c2119d7e8fd9b8fc78

tag  : 5c04b3dba849b2701effbe32c7f0fab7

A.2.9. Test Vector 8

This test MUST return a "verification failed" error.

key  : 10010000000000000000000000000000

nonce: 10000200000000000000000000000000

ad   : 0001020304050608

msg  :

ct   : 79d94593d8c2119d7e8fd9b8fc77

tag  : 5c04b3dba849b2701effbe32c7f0fab7

A.2.10. Test Vector 9

This test MUST return a "verification failed" error.

key  : 10010000000000000000000000000000

nonce: 10000200000000000000000000000000

ad   : 0001020304050607

msg  :

ct   : 79d94593d8c2119d7e8fd9b8fc77

tag  : 6c04b3dba849b2701effbe32c7f0fab8

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 

key  : 00000000000000000000000000000000
       00000000000000000000000000000000

nonce: 00000000000000000000000000000000
       00000000000000000000000000000000

ad   :

msg  : 00000000000000000000000000000000

ct   : b98f03a947807713d75a4fff9fc277a6

tag  : 478f3b50dc478ef7d5cf2d0f7cc13180

A.3.3. Test Vector 2 

key  : 00000000000000000000000000000000
       00000000000000000000000000000000

nonce: 00000000000000000000000000000000
       00000000000000000000000000000000

ad   :

msg  :

ct   :

tag  : f7a0878f68bd083e8065354071fc27c3

A.3.4. Test Vector 3 

key  : 10010000000000000000000000000000
       00000000000000000000000000000000

nonce: 10000200000000000000000000000000
       00000000000000000000000000000000

ad   : 0001020304050607

msg  : 000102030405060708090a0b0c0d0e0f
       101112131415161718191a1b1c1d1e1f

ct   : f373079ed84b2709faee373584585d60
       accd191db310ef5d8b11833df9dec711

tag  : 8d86f91ee606e9ff26a01b64ccbdd91d

A.3.5. Test Vector 4 

key  : 10010000000000000000000000000000
       00000000000000000000000000000000

nonce: 10000200000000000000000000000000
       00000000000000000000000000000000

ad   : 0001020304050607

msg  : 000102030405060708090a0b0c0d

ct   : f373079ed84b2709faee37358458

tag  : c60b9c2d33ceb058f96e6dd03c215652

A.3.6. Test Vector 5 

key  : 10010000000000000000000000000000
       00000000000000000000000000000000

nonce: 10000200000000000000000000000000
       00000000000000000000000000000000

ad   : 000102030405060708090a0b0c0d0e0f
       101112131415161718191a1b1c1d1e1f
       20212223242526272829

msg  : 101112131415161718191a1b1c1d1e1f
       202122232425262728292a2b2c2d2e2f
       3031323334353637

ct   : 57754a7d09963e7c787583a2e7b859bb
       24fa1e04d49fd550b2511a358e3bca25
       2a9b1b8b30cc4a67

tag  : ab8a7d53fd0e98d727accca94925e128

A.3.7. Test Vector 6

This test MUST return a "verification failed" error.

key  : 10000200000000000000000000000000
       00000000000000000000000000000000

nonce: 10010000000000000000000000000000
       00000000000000000000000000000000

ad   : 0001020304050607

msg  :

ct   : f373079ed84b2709faee37358458

tag  : c60b9c2d33ceb058f96e6dd03c215652

A.3.8. Test Vector 7

This test MUST return a "verification failed" error.

key  : 10010000000000000000000000000000
       00000000000000000000000000000000

nonce: 10000200000000000000000000000000
       00000000000000000000000000000000

ad   : 0001020304050607

msg  :

ct   : f373079ed84b2709faee37358459

tag  : c60b9c2d33ceb058f96e6dd03c215652

A.3.9. Test Vector 8

This test MUST return a "verification failed" error.

key  : 10010000000000000000000000000000
       00000000000000000000000000000000

nonce: 10000200000000000000000000000000
       00000000000000000000000000000000

ad   : 0001020304050608

msg  :

ct   : f373079ed84b2709faee37358458

tag  : c60b9c2d33ceb058f96e6dd03c215652

A.3.10. Test Vector 9

This test MUST return a "verification failed" error.

key  : 10010000000000000000000000000000
       00000000000000000000000000000000

nonce: 10000200000000000000000000000000
       00000000000000000000000000000000

ad   : 0001020304050607

msg  :

ct   : f373079ed84b2709faee37358458

tag  : d60b9c2d33ceb058f96e6dd03c215653

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 that partly motivated the design of the AEGIS MAC.

We would like to thank Eric Lagergren and Daniel Bleichenbacher for catching a broken test vector and Daniel Bleichenbacher for many helpful suggestions.

Authors' Addresses

Frank Denis
Fastly Inc.
Fabio Enrico Renzo Scotoni
Individual Contributor
Samuel Lucas
Individual Contributor

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