Permutation polynomial;
Compositional inverse;
The AGW criterion;
LINEARIZED POLYNOMIALS;
BENT FUNCTIONS;
FORM (X(PM);
CONSTRUCTIONS;
INVOLUTIONS;
TRINOMIALS;
F-2N;
D O I:
10.1007/s10623-024-01436-4
中图分类号:
TP301 [理论、方法];
学科分类号:
081202 ;
摘要:
In this paper, we survey on the recent results and methods in the study of compositional inverses of permutation polynomials over finite fields. In particular, we describe a framework in terms of a commutative diagram which unifies several recent methods in finding the inverses of permutation polynomials.
机构:
Sichuan Univ, Math Coll, Chengdu 610064, Peoples R China
Yangtze Normal Univ, Coll Math & Comp Sci, Chongqing 408100, Peoples R ChinaSichuan Univ, Math Coll, Chengdu 610064, Peoples R China
Qin, Xiaoer
Qian, Guoyou
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机构:
Sichuan Univ, Math Coll, Chengdu 610064, Peoples R ChinaSichuan Univ, Math Coll, Chengdu 610064, Peoples R China
Qian, Guoyou
Hong, Shaofang
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h-index: 0
机构:
Sichuan Univ, Math Coll, Chengdu 610064, Peoples R ChinaSichuan Univ, Math Coll, Chengdu 610064, Peoples R China
机构:
Middle East Tech Univ, Inst Appl Math, Univ Mahallesi Dumlupinar Bulvari 1, TR-06800 Ankara, TurkeyMiddle East Tech Univ, Inst Appl Math, Univ Mahallesi Dumlupinar Bulvari 1, TR-06800 Ankara, Turkey
Ongan, Pinar
Temur, Burcu Gulmez
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h-index: 0
机构:
Atilim Univ, Dept Math, TR-06830 Ankara, TurkeyMiddle East Tech Univ, Inst Appl Math, Univ Mahallesi Dumlupinar Bulvari 1, TR-06800 Ankara, Turkey
机构:
China West Normal Univ, Sch Math & Informat, Nanchong 637009, Sichuan, Peoples R ChinaChina West Normal Univ, Sch Math & Informat, Nanchong 637009, Sichuan, Peoples R China