Complete permutation polynomials with the form ( x~p~m - x + δ )~s + ax~p~m + bx over F_p~n

Xu Xiaofang; Feng Xiutao; Zeng Xiangyong

首页> 外文期刊>Finite fields and their applications >Complete permutation polynomials with the form ( x~p~m - x + δ )~s + ax~p~m + bx over F_p~n

【24h】

Complete permutation polynomials with the form ( x~p~m - x + δ )~s + ax~p~m + bx over F_p~n

机译：具有形式的完整置换多项式（x〜p〜m-x +δ）〜s + ax〜p〜m + bx over f_p〜n

获取原文

获取原文并翻译 | 示例

获取外文期刊封面封底 >>

开具论文收录证明 >>

文献代查 >>

页面导航

摘要
著录项
相似文献
相关主题

摘要

In this paper, several classes of complete permutation polynomials with the form (x(pm)- x + delta)(s) + ax(pm) + bx over F-pn, are proposed by the AGW criterion and determining the number of solutions of some equations. Our results also enrich constructions of known permutation polynomials. (C) 2019 Elsevier Inc. All rights reserved.

著录项

来源
《Finite fields and their applications》 |2019年第5期|309-343|共35页
作者
Xu Xiaofang; Feng Xiutao; Zeng Xiangyong;
展开▼
作者单位

Hubei Univ Hubei Key Lab Appl Math Fac Math & Stat Wuhan 430062 Hubei Peoples R China|Hubei Polytech Univ Sch Math & Phys Huangshi 435003 Hubei Peoples R China;

Chinese Acad Sci Acad Math & Syst Sci Key Lab Math Mechanizat Beijing 100190 Peoples R China;

Hubei Univ Hubei Key Lab Appl Math Fac Math & Stat Wuhan 430062 Hubei Peoples R China;

展开▼
收录信息
原文格式 PDF
正文语种 eng
中图分类
关键词
Complete permutation polynomial; Permutation polynomial; AGW criterion; Finite field;

机译：完整的排列多项式;排列多项式;agw标准;有限场;

相似文献

外文文献
中文文献
专利

1. Complete permutation polynomials with the form ( x~p~m - x + δ )~s + ax~p~m + bx over F_p~n [J] . Xu Xiaofang, Feng Xiutao, Zeng Xiangyong Finite fields and their applications . 2019,第MAY期

机译：F_p〜n上形式为（x〜p〜m-x +δ）〜s + ax〜p〜m + bx的完全置换多项式
2. Permutation polynomials (x~(pm) - x + δ)~(S1) + (x~(pm) -x + δ)~(S2) + x over F_p~n [J] . Li Lisha, Wang Shi, Li Chaoyun, Finite fields and their applications . 2018,第MAY期

机译：F_p〜n上的置换多项式（x〜（pm）-x +δ）〜（S1）+（x〜（pm）-x +δ）〜（S2）+ x
3. THE CUBIC CONGRUENCE a~3 + ax~2 + bx + c = 0 (mod p) AND BINARY QUADRATIC FORMS F(x,y) = ax~2 + bxy + cy~2 [J] . AHMET TEKCAN Ars Combinatoria: An Australian-Canadian Journal of Combinatorics . 2007,第0期

机译：立方同余a〜3 + ax〜2 + bx + c = 0（mod p）和二元二次形式F（x，y）= ax〜2 + bxy + cy〜2
4. Direct Computation of the Polynomial Expression Ax/sup 2/ + Bx + C [C] . Schwarz, E., Vassiliadis, . 2001

机译：多项式表达式Ax / sup 2 / + Bx + C的直接计算
5. A method for constructing groups of permutation polynomials and its application to projective geometry. [D] . Castillo, Chris. 2015

机译：一种构造置换多项式组的方法及其在射影几何中的应用。
6. Sylow p-groups of polynomial permutations on the integers mod ... formula ... [O] . Sophie Frisch, Daniel Krenn -1

机译：整数mod ...公式...上的多项式置换的Sylow p组
7. Permutation polynomials $${x^{{2^{k + 1}} + 3}} + a{x^{{2^k} + 2}} + bx$$ over $${F_{{2^{2k}}}}$$ and their differential uniformity [O] . Jie Peng, Lijing Zheng, Chunsheng Wu, 2020

机译：置换多项式$$ {x ^ {{2 ^ {k + 1}} + 3} + a {x ^ {2 ^ k} + 2}} + bx $$超过$$ {2 {{2 ^ { $$及其差异均匀性

Complete permutation polynomials with the form ( x~p~m - x + δ )~s + ax~p~m + bx over F_p~n

摘要

著录项

相似文献

相关主题

期刊订阅