New classes of almost bent and almost perfect nonlinear polynomials

被引：165

作者：

Budaghyan, L ^{[1
]}

Carlet, C

Pott, A

机构：

[1] Univ Trent, Dept Math, I-38050 Trento, Italy

[2] INRIA, Project CODES, F-78153 Le Chesnay, France

[3] Univ Paris 08, Paris, France

[4] Univ Magdeburg, Inst Algebra & Geometry, D-39016 Magdeburg, Germany

来源：

IEEE TRANSACTIONS ON INFORMATION THEORY | 2006年 / 52卷 / 03期

关键词：

affine equivalence; almost bent; almost perfect nonlinear; Carlet-Charpin-Zinoviev (CCZ)-equivalence; differential uniformity; nonlinearity; vectorial Boolean function;

D O I：

10.1109/TIT.2005.864481

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

New infinite classes of almost bent and almost perfect nonlinear polynomials are constructed. It is shown that they are affine inequivalent to any sum of a power function and an affine function.

引用

页码：1141 / 1152

页数：12

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