m-to-1 Mappings over Finite Fields Fq

被引：4

作者：

Gao, You ^{[1
]}

Yao, Yun-Fei ^{[2
]}

Shen, Lin-Zhi ^{[1
]}

机构：

[1] Civil Aviat Univ China, Sch Sci, Tianjin 300300, Peoples R China

[2] Civil Aviat Univ China, Coll Econ & Management, Tianjin 300300, Peoples R China

来源：

IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES | 2021年 / E104A卷 / 11期

基金：

中国国家自然科学基金;

关键词：

m-to-1; mappings; permutation polynomials; AGW-like criterion; PERMUTATION POLYNOMIALS;

D O I：

10.1587/transfun.2021EAP1003

中图分类号：

TP3 [计算技术、计算机技术];

学科分类号：

0812 ;

摘要：

Permutation polynomials over finite fields have been widely studied due to their important applications in mathematics and cryptography. In recent years, 2-to-1 mappings over finite fields were proposed to build almost perfect nonlinear functions, bent functions, and the semibent functions. In this paper, we generalize the 2-to-1 mappings to m-to-1 mappings, including their construction methods. Some applications of m-to-1 mappings are also discussed.

引用

页码：1612 / 1618

页数：7

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