Designs, Codes and Cryptography
Codes, Bent Functions and Permutations Suitable For DES-likeCryptosystems
Designs, Codes and Cryptography
Codes, graphs, and schemes from nonlinear functions
European Journal of Combinatorics
A new APN function which is not equivalent to a power mapping
IEEE Transactions on Information Theory
Finite Fields and Their Applications
On a Class of Permutation Polynomials over $\mathbb{F}_{2^n}$
SETA '08 Proceedings of the 5th international conference on Sequences and Their Applications
Designs, Codes and Cryptography
On Designs and Multiplier Groups Constructed from Almost Perfect Nonlinear Functions
Cryptography and Coding '09 Proceedings of the 12th IMA International Conference on Cryptography and Coding
New semifields, PN and APN functions
Designs, Codes and Cryptography
When does G(x )+γTr(H(x)) permute Fpn?
Finite Fields and Their Applications
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A function f : GF(2 r ) 驴 GF(2 r ) is called crooked if the sets {f(x) + f(x + a)|x 驴 GF(2 r )} is an affine hyperplane for any nonzero a 驴 GF(2 r ). We prove that a crooked binomial function f(x) = x d + ux e defined on GF(2 r ) satisfies that both exponents d, e have 2-weights at most 2.