Crooked binomials

被引：0

作者：

Jürgen Bierbrauer

Gohar M. Kyureghyan

机构：

[1] Michigan Technological University,Department of Mathematical Sciences

[2] Otto-von-Guericke University,Department of Mathematics

来源：

Designs, Codes and Cryptography | 2008年 / 46卷

关键词：

Crooked functions; APN functions; Codes; Cyclotomic cosets; Preparata codes; 11T06; 11T71;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

A function f : GF(2r) → GF(2r) is called crooked if the sets {f(x) + f(x + a)|x ∈ GF(2r)} is an affine hyperplane for any nonzero a ∈ GF(2r). We prove that a crooked binomial function f(x) = xd + uxe defined on GF(2r) satisfies that both exponents d, e have 2-weights at most 2.

引用

页码：269 / 301

页数：32

共 13 条

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[7]

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[8]

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[9]

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