首都师范大学学报（自然科学版）2025，Vol.46Issue(5)：20-27,8.DOI:10.19789/j.1004-9398.2025.05.004
低c-差分及回旋镖均匀度置换的构造
Construction of permutations with low c-differential and boomerang uniformities
摘要
Abstract
Vectorial boolean functions with low c-differential and boomerang uniformities,especially the almost perfect c-nonlinear functions,are widely used in cryptography.This paper constructed a new class of non-monomial functions over finite fields by using trace functions.By calculating Weil sums we obtained the c-difference distribution table of this class of functions,and we concluded that they are almost perfect c-nonlinear functions over finite fields.Furthermore,it is proved that the constructed functions have low boomerang uniformity.关键词
向量布尔函数/c-差分均匀度/回旋镖均匀度/完全c-非线性函数/几乎完全c-非线性函数Key words
Vectorial boolean function/c-differential uniformity/boomerang uniformity/perfect c-nonlinear function/almost perfect c-nonlinear function分类
信息技术与安全科学引用本文复制引用
朱思敏,王艳,李顺波,付妍希..低c-差分及回旋镖均匀度置换的构造[J].首都师范大学学报（自然科学版）,2025,46(5):20-27,8.基金项目
国家自然科学基金项目(61902304) （61902304）
应用数学湖北省重点实验室2022年度开放基金项目(HBAM202202) （HBAM202202）
