Differentially uniform mappings for cryptography
EUROCRYPT '93 Workshop on the theory and application of cryptographic techniques on Advances in cryptology
Linear cryptanalysis method for DES cipher
EUROCRYPT '93 Workshop on the theory and application of cryptographic techniques on Advances in cryptology
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Upper and Lower Bounds on Maximum Nonlinearity ofn-input m-output Boolean Function
Designs, Codes and Cryptography
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EUROCRYPT'91 Proceedings of the 10th annual international conference on Theory and application of cryptographic techniques
On the construction of highly nonlinear permutations
EUROCRYPT'92 Proceedings of the 11th annual international conference on Theory and application of cryptographic techniques
Lower bounds on the maximum cross correlation of signals (Corresp.)
IEEE Transactions on Information Theory
The covering radius of the Reed-Muller code is at least 16276
IEEE Transactions on Information Theory
On the Higher Order Nonlinearities of Boolean Functions and S-Boxes, and Their Generalizations
SETA '08 Proceedings of the 5th international conference on Sequences and Their Applications
Designs, Codes and Cryptography
On known and new differentially uniform functions
ACISP'11 Proceedings of the 16th Australasian conference on Information security and privacy
A new construction of highly nonlinear S-boxes
Cryptography and Communications
A simple stream cipher with proven properties
Cryptography and Communications
Permutations of finite fields with prescribed properties
Journal of Computational and Applied Mathematics
Asymptotic nonlinearity of vectorial Boolean functions
Cryptography and Communications
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We introduce an indicator of the non-balancedness of functions defined over Abelian groups, and deduce a new indicator, denoted by NB, of the nonlinearity of such functions. We prove an inequality relating NB and the classical indicator NL, introduced by Nyberg and studied by Chabaud and Vaudenay, of the nonlinearity of S-boxes. This inequality results in an upper bound on NL which unifies Sidelnikov-Chabaud-Vaudenay's bound and the covering radius bound. We also deduce from bounds on linear codes three new bounds on NL that improve upon Sidelnikov-Chabaud-Vaudenay's bound and the covering radius bound in many cases.