Algebraic geometry's approach to permutation polynomials in several indeterminates

被引：0

作者：

Zhang, QF ^{[1
]}

机构：

[1] Sichuan Univ, Dept Math, Chengdu 610064, Peoples R China

来源：

ALGEBRA COLLOQUIUM | 1997年 / 4卷 / 04期

关键词：

permutation polynomial; algebraic curve; algebraic set; morphism; rational map;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In 1991, Niederreiter proposed an open problem - to characterize the polynomials in F-q[x(1),...,x(n)] which are permutation polynomials over all finite extensions of F-q. The answer is well known for the case of n = 1. In the present paper, the author studies this problem for the case of n = 2 and gives a geometric characterization.

引用

页码：361 / 366

页数：6

共 50 条

[21] Several classes of complete permutation polynomials with Niho exponents
Li, Lisha
Wang, Qiang
Xu, Yunge
Zeng, Xiangyong
[J]. FINITE FIELDS AND THEIR APPLICATIONS, 2021, 72
[22] Additive characters anti orthogonal systems of polynomials in several indeterminates over residue class rings
Hong, S.
[J]. Chinese Science Bulletin, 43 (04):
[23] An algebraic approach to Lidstone polynomials
Costabile, F. A.
Serpe, A.
[J]. APPLIED MATHEMATICS LETTERS, 2007, 20 (04) : 387 - 390
[24] Several classes of permutation polynomials with trace functions over Fpn
Wang, Yan-Ping
Zha, Zhengbang
Du, Xiaoni
Zheng, Dabin
[J]. APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING, 2024, 35 (03) : 337 - 349
[25] AN ALGEBRAIC APPROACH TO THE RESIDUES IN ALGEBRAIC-GEOMETRY
TANG, ZM
[J]. MATHEMATISCHE ZEITSCHRIFT, 1990, 203 (01) : 1 - 8
[26] The algebraic geometry of Kazhdan-Lusztig-Stanley polynomials
Proudfoot, Nicholas
[J]. EMS SURVEYS IN MATHEMATICAL SCIENCES, 2018, 5 (1-2) : 99 - 127
[27] PERMUTATION POLYNOMIALS IN SEVERAL-VARIABLES OVER RESIDUE CLASS RINGS
KAISER, HK
NOBAUER, W
[J]. JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS, 1987, 43 : 171 - 175
[28] Several classes of permutation polynomials of the form (xpm - x + δ)s + x over Fp2m
Xu, Guangkui
Luo, Gaojun
Cao, Xiwang
[J]. FINITE FIELDS AND THEIR APPLICATIONS, 2022, 79
[29] A GEOMETRIC APPROACH TO PERMUTATION POLYNOMIALS OVER A FINITE FIELD
HAYES, DR
[J]. DUKE MATHEMATICAL JOURNAL, 1967, 34 (02) : 293 - &
[30] Several classes of complete permutation polynomials over finite fields of even characteristic
Tu, Ziran
Zeng, Xiangyong
Mao, Jinxiu
Zhou, Junchao
[J]. FINITE FIELDS AND THEIR APPLICATIONS, 2020, 68

← 1 2 3 4 5 →