Is the data encryption standard a group? (Results of cycling experiments on DES)
Journal of Cryptology
Linear cryptanalysis method for DES cipher
EUROCRYPT '93 Workshop on the theory and application of cryptographic techniques on Advances in cryptology
Markov ciphers and alternating groups
EUROCRYPT '93 Workshop on the theory and application of cryptographic techniques on Advances in cryptology
Cryptography, a Primer
Handbook of Applied Cryptography
Handbook of Applied Cryptography
The Design of Rijndael
Essential Algebraic Structure within the AES
CRYPTO '02 Proceedings of the 22nd Annual International Cryptology Conference on Advances in Cryptology
A Unified Markow Approach to Differential and Linear Cryptanalysis
ASIACRYPT '94 Proceedings of the 4th International Conference on the Theory and Applications of Cryptology: Advances in Cryptology
In How Many Ways Can You Write Rijndael?
ASIACRYPT '02 Proceedings of the 8th International Conference on the Theory and Application of Cryptology and Information Security: Advances in Cryptology
The Round Functions of RIJNDAEL Generate the Alternating Group
FSE '02 Revised Papers from the 9th International Workshop on Fast Software Encryption
Algebraic Aspects of the Advanced Encryption Standard (Advances in Information Security)
Algebraic Aspects of the Advanced Encryption Standard (Advances in Information Security)
Markov ciphers and differential cryptanalysis
EUROCRYPT'91 Proceedings of the 10th annual international conference on Theory and application of cryptographic techniques
The one-round functions of the DES generate the alternating group
EUROCRYPT'92 Proceedings of the 11th annual international conference on Theory and application of cryptographic techniques
Small scale variants of the AES
FSE'05 Proceedings of the 12th international conference on Fast Software Encryption
Complementation-Like and cyclic properties of AES round functions
AES'04 Proceedings of the 4th international conference on Advanced Encryption Standard
The inverse s-box, non-linear polynomial relations and cryptanalysis of block ciphers
AES'04 Proceedings of the 4th international conference on Advanced Encryption Standard
Proving the security of AES substitution-permutation network
SAC'05 Proceedings of the 12th international conference on Selected Areas in Cryptography
DES-like functions can generate the alternating group
IEEE Transactions on Information Theory
Designs, Codes and Cryptography
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We provide conditions for which the round functions of an @?-bit Rijndael-like block cipher generate the alternating group on the set {0,1}^@?. These conditions show that the class of Rijndael-like ciphers whose round functions generate the alternating group on their message space is large, and includes both the actual Rijndael and the block cipher used by the compression function of the Whirlpool hash function. The result indicates that there is no trapdoor design for a Rijndael-like cipher based on the imprimitivity of the group action of its proper round functions which is difficult to detect.