More classes of permutation polynomials of the form (xpm - x plus δ)s + L(x)

被引：0

作者：

Zheng, Dabin ^{[1
]}

Chen, Zhen ^{[1
]}

机构：

[1] Hubei Univ, Fac Math & Stat, Wuhan 430062, Peoples R China

来源：

APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING | 2017年 / 28卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Finite field; Permutation polynomial; FINITE-FIELDS;

D O I：

10.1007/s00200-016-0305-8

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

This note presents two classes of permutation polynomials of the form (x(pm) - x + delta)(s) + L(x) over the finite fields F(p)2m as a supplement of the recent works of Zha, Hu and Li, Helleseth and Tang.

引用

页码：215 / 223

页数：9

共 43 条

[21] New constructions of permutation polynomials of the form x plus γ Tr q 2 q (h(x)) over finite fields with even characteristic
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[22] ON SOME PERMUTATION POLYNOMIALS OVER Fq OF THE FORM xrh(x(q-1)/d)
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[24] Some new results on permutation polynomials of the form b(xq plus ax plus δ)s - ax over Fq2
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[25] On theorems of Carlitz and Payne on permutation polynomials over finite fields with an application to x-1 + L(x)
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[27] Permutation polynomials of the form xd + L(xs) over Fq3
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[28] On Cryptographic Parameters of Permutation Polynomials of the form xrh(x(2n-1)/d)
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IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES, 2022, E105 (08) : 1134 - 1146
[29] Classification of permutation polynomials of the form x3g(xq-1) of Fq2 where g(x) = x3 + bx plus c and b, c ∈ Fq*
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[30] Permutation polynomials over finite fields involving x + xq + ... +xqa-1
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