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Linear cryptanalysis method for DES cipher
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QUARTZ, 128-Bit Long Digital Signatures
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Improved Cryptanalysis of Rijndael
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The Round Functions of RIJNDAEL Generate the Alternating Group
FSE '02 Revised Papers from the 9th International Workshop on Fast Software Encryption
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PKC '02 Proceedings of the 5th International Workshop on Practice and Theory in Public Key Cryptosystems: Public Key Cryptography
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Cryptanalysis of Block Ciphers with Overdefined Systems of Equations
ASIACRYPT '02 Proceedings of the 8th International Conference on the Theory and Application of Cryptology and Information Security: Advances in Cryptology
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Affine equivalence in the AES round function
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Computer Networks: The International Journal of Computer and Telecommunications Networking
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A Five-Round Algebraic Property of the Advanced Encryption Standard
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Group theoretic properties of Rijndael-like ciphers
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Cryptologia
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ACISP '09 Proceedings of the 14th Australasian Conference on Information Security and Privacy
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Practical Algebraic Attacks on the Hitag2 Stream Cipher
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Affine equivalence in the AES round function
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ACISP'07 Proceedings of the 12th Australasian conference on Information security and privacy
New description of SMS4 by an embedding over GF(28)
INDOCRYPT'07 Proceedings of the cryptology 8th international conference on Progress in cryptology
Algebraic cryptanalysis of the data encryption standard
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A very compact "Perfectly masked" S-box for AES
ACNS'08 Proceedings of the 6th international conference on Applied cryptography and network security
AISC '09 Proceedings of the Seventh Australasian Conference on Information Security - Volume 98
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FSE'10 Proceedings of the 17th international conference on Fast software encryption
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ACS'06 Proceedings of the 6th WSEAS international conference on Applied computer science
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SAC'04 Proceedings of the 11th international conference on Selected Areas in Cryptography
An analysis of the XSL algorithm
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FSE'05 Proceedings of the 12th international conference on Fast Software Encryption
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FSE'06 Proceedings of the 13th international conference on Fast Software Encryption
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SCN'04 Proceedings of the 4th international conference on Security in Communication Networks
Resistance of SNOW 2.0 against algebraic attacks
CT-RSA'05 Proceedings of the 2005 international conference on Topics in Cryptology
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General principles of algebraic attacks and new design criteria for cipher components
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IMA'05 Proceedings of the 10th international conference on Cryptography and Coding
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CHES'12 Proceedings of the 14th international conference on Cryptographic Hardware and Embedded Systems
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CHES'13 Proceedings of the 15th international conference on Cryptographic Hardware and Embedded Systems
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One difficulty in the cryptanalysis of the Advanced Encryption Standard AES is the tension between operations in the two fields GF(28) and GF(2). This paper outlines a new approach that avoids this conflict. We define a new block cipher, the BES, that uses only simple algebraic operations in GF(28). Yet the AES can be regarded as being identical to the BES with a restricted message space and key space, thus enabling the AES to be realised solely using simple algebraic operations in one field GF(28). This permits the exploration of the AES within a broad and rich setting. One consequence is that AES encryption can be described by an extremely sparse overdetermined multivariate quadratic system over GF(28), whose solution would recover an AES key.