### Abstract

The starting point of our work is “Mixture Differential Cryptanalysis” recently introduced at FSE/ToSC 2019, a way to turn the “multiple-of-8” 5-round AES secret-key distinguisher presented at Eurocrypt 2017 into a simpler and more convenient one (though, on a smaller number of rounds). By reconsidering this result on a smaller number of rounds, we present as our main contribution a new secret-key distinguisher on 3-round AES with the smallest data complexity in the literature (that does not require adaptive chosen plaintexts/ciphertexts), i.e. approximately half of the data necessary to set up a 3-round truncated differential distinguisher (which is currently the distinguisher in the literature with the lowest data complexity). E.g. for a probability of success of 95%, our distinguisher requires just 10 chosen plaintexts versus 20 chosen plaintexts necessary to set up the truncated differential one.

Besides that, we present new competitive low-data key-recovery attacks on 3- and 4-round AES, both in the case in which the S-Box is known and in the case in which it is secret.

Original language | English |
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Publication status | Published - 2 Jul 2019 |

### Fingerprint

### Keywords

- AES
- Mixture Differential Cryptanalysis
- Secret-Key Distinguisher
- Low-Data Attack
- Secret S-Box

### Cite this

**Mixture Integral Attacks on Reduced-Round AES with a Known/Secret S-Box.** / Grassi, Lorenzo; Schofnegger, Markus.

Research output: Working paper › Research

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TY - UNPB

T1 - Mixture Integral Attacks on Reduced-Round AES with a Known/Secret S-Box

AU - Grassi, Lorenzo

AU - Schofnegger, Markus

PY - 2019/7/2

Y1 - 2019/7/2

N2 - In this work, we present new low-data secret-key distinguishers and key-recovery attacks on reduced-round AES.The starting point of our work is “Mixture Differential Cryptanalysis” recently introduced at FSE/ToSC 2019, a way to turn the “multiple-of-8” 5-round AES secret-key distinguisher presented at Eurocrypt 2017 into a simpler and more convenient one (though, on a smaller number of rounds). By reconsidering this result on a smaller number of rounds, we present as our main contribution a new secret-key distinguisher on 3-round AES with the smallest data complexity in the literature (that does not require adaptive chosen plaintexts/ciphertexts), i.e. approximately half of the data necessary to set up a 3-round truncated differential distinguisher (which is currently the distinguisher in the literature with the lowest data complexity). E.g. for a probability of success of 95%, our distinguisher requires just 10 chosen plaintexts versus 20 chosen plaintexts necessary to set up the truncated differential one.Besides that, we present new competitive low-data key-recovery attacks on 3- and 4-round AES, both in the case in which the S-Box is known and in the case in which it is secret.

AB - In this work, we present new low-data secret-key distinguishers and key-recovery attacks on reduced-round AES.The starting point of our work is “Mixture Differential Cryptanalysis” recently introduced at FSE/ToSC 2019, a way to turn the “multiple-of-8” 5-round AES secret-key distinguisher presented at Eurocrypt 2017 into a simpler and more convenient one (though, on a smaller number of rounds). By reconsidering this result on a smaller number of rounds, we present as our main contribution a new secret-key distinguisher on 3-round AES with the smallest data complexity in the literature (that does not require adaptive chosen plaintexts/ciphertexts), i.e. approximately half of the data necessary to set up a 3-round truncated differential distinguisher (which is currently the distinguisher in the literature with the lowest data complexity). E.g. for a probability of success of 95%, our distinguisher requires just 10 chosen plaintexts versus 20 chosen plaintexts necessary to set up the truncated differential one.Besides that, we present new competitive low-data key-recovery attacks on 3- and 4-round AES, both in the case in which the S-Box is known and in the case in which it is secret.

KW - AES

KW - Mixture Differential Cryptanalysis

KW - Secret-Key Distinguisher

KW - Low-Data Attack

KW - Secret S-Box

M3 - Working paper

BT - Mixture Integral Attacks on Reduced-Round AES with a Known/Secret S-Box

ER -