Title

Crooked binomials

Document Type

Article

Publication Date

3-1-2008

Abstract

A function f : GF(2 r ) → GF(2 r ) is called crooked if the sets {f(x) + f(x + a)|x ∈ GF(2 r )} is an affine hyperplane for any nonzero a ∈ 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. © 2008 Springer Science+Business Media, LLC.

Publication Title

Designs, Codes, and Cryptography

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