Differentially uniform mappings for cryptography
EUROCRYPT '93 Workshop on the theory and application of cryptographic techniques on Advances in cryptology
Finite fields
New families of almost perfect nonlinear power mappings
IEEE Transactions on Information Theory
Almost perfect nonlinear power functions on GF(2n): the Welch case
IEEE Transactions on Information Theory
Two Classes of Quadratic APN Binomials Inequivalent to Power Functions
IEEE Transactions on Information Theory
Two classes of permutation polynomials over finite fields
Journal of Combinatorial Theory Series A
On known and new differentially uniform functions
ACISP'11 Proceedings of the 16th Australasian conference on Information security and privacy
Necessary conditions for reversed Dickson polynomials to be permutational
Finite Fields and Their Applications
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Reversed Dickson polynomials over finite fields are obtained from Dickson polynomials D"n(x,a) over finite fields by reversing the roles of the indeterminate x and the parameter a. We study reversed Dickson polynomials with emphasis on their permutational properties over finite fields. We show that reversed Dickson permutation polynomials (RDPPs) are closely related to almost perfect nonlinear (APN) functions. We find several families of nontrivial RDPPs over finite fields; some of them arise from known APN functions and others are new. Among RDPPs on F"q with q