弱APN函数的进一步研究

马俊如,张莎莎,曾祥勇

系统科学与数学 ›› 2017, Vol. 37 ›› Issue (11) : 2301-2316.

PDF(382 KB)
PDF(382 KB)
系统科学与数学 ›› 2017, Vol. 37 ›› Issue (11) : 2301-2316. DOI: 10.12341/jssms13285
论文

弱APN函数的进一步研究

    马俊如1,张莎莎2,曾祥勇1,2
作者信息 +

Further Study on Weakly APN Functions

    MA Junru1 ,ZHANG Shasha1 ,ZENG Xiangyong 1,2
Author information +
文章历史 +

摘要

研究了弱APN函数, 给出了弱APN函数存在的一个必要条件, 并提出了弱APN函数的两个判定准则. 运用所提出的准则对一些已知4-差分函数进行了讨论, 得到了几类具体的弱APN函数. 此外, 还研究了某些弱APN置换的性质.

Abstract

In this paper, weakly APN functions are investigated and a necessary condition of weakly APN functions is proposed. Based on the proposed condition, two criteria are established to judge whether a differentially 4-uniform function is weakly APN or not, and several classes of weakly APN functions are obtained by these criteria. Some properties of weakly APN permutations are also discussed.

关键词

弱APN函数 / δ-差分函数 / 4-差分函数 / 向量布尔函数 / l-反不变函数

引用本文

导出引用
马俊如 , 张莎莎 , 曾祥勇. 弱APN函数的进一步研究. 系统科学与数学, 2017, 37(11): 2301-2316. https://doi.org/10.12341/jssms13285
MA Junru , ZHANG Shasha , ZENG Xiangyong. Further Study on Weakly APN Functions. Journal of Systems Science and Mathematical Sciences, 2017, 37(11): 2301-2316 https://doi.org/10.12341/jssms13285
PDF(382 KB)

280

Accesses

0

Citation

Detail

段落导航
相关文章

/