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}.
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页码：1081 / 1089
页数：9
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