Generalizations of complete mappings of finite fields and some applications

被引：13
|
作者：
Winterhof, Arne [1 ]
机构：
[1] Austrian Acad Sci, Johann Radon Inst Computat & Appl Math, A-4040 Linz, Austria
来源：
JOURNAL OF SYMBOLIC COMPUTATION | 2014年 / 64卷
关键词：
Finite field; Permutation polynomial; Complete mapping; Orthomorphism; Check digit system;
D O I：
10.1016/j.jsc.2013.12.006
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
Permutation polynomials of finite fields have many applications in cryptography, coding theory, and combinatorics. In the first part we mention some applications of a class of permutation polynomials with additional features which includes complete mappings and orthomorphisms. In the second part we discuss several constructions. We focus on linearized polynomials and cyclotomic polynomials of degree 2. (C) 2013 Elsevier B.V. All rights reserved.
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页码：42 / 52
页数：11
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