A note on the differential spectrum of a class of power mappings with Niho exponent

被引：6

作者：

Yan, Haode ^{[1
]}

Li, Zhen ^{[1
]}

机构：

[1] Southwest Jiaotong Univ, Sch Math, Chengdu 610031, Peoples R China

来源：

CRYPTOGRAPHY AND COMMUNICATIONS-DISCRETE-STRUCTURES BOOLEAN FUNCTIONS AND SEQUENCES | 2022年 / 14卷 / 05期

基金：

中国国家自然科学基金;

关键词：

Power mapping; Differential uniformity; Differential spectrum; Niho exponent; CROSS-CORRELATION FUNCTION;

D O I：

10.1007/s12095-022-00577-4

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

Let GF(q(2)) be the finite field containing q(2) elements, where q is an odd prime power. In this paper, we study the differential properties of the power mapping F(x) = x(d) over GF(q(2)), where d = 2q -1 is a Niho exponent [14]. The differential spectrum of F is given by S = {omega(0) = q(2)+q-2/2, omega(2) = q(2)-q/2, omega(q) = 1}.

引用

页码：1081 / 1089

页数：9

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