首页
学术期刊
论文检测
AIGC检测
热点
更多
数据
Monomials and binomials over finite fields as R-orthomorphisms
被引:0
|
作者
:
Chou, WS
论文数:
0
引用数:
0
h-index:
0
机构:
Acad Sinica, Inst Math, Taipei 11529, Taiwan
Chou, WS
Niederreiter, H
论文数:
0
引用数:
0
h-index:
0
机构:
Acad Sinica, Inst Math, Taipei 11529, Taiwan
Niederreiter, H
机构
:
[1]
Acad Sinica, Inst Math, Taipei 11529, Taiwan
[2]
Natl Univ Singapore, Dept Math, Singapore 117543, Singapore
来源
:
PUBLICATIONES MATHEMATICAE-DEBRECEN
|
2002年
/ 61卷
/ 3-4期
关键词
:
permutation polynomials;
complete mapping polynomials;
orthomorphisms;
D O I
:
暂无
中图分类号
:
O1 [数学];
学科分类号
:
0701 ;
070101 ;
摘要
:
We give criteria for both monomials and binomials of the form ax((q+ 1)/2) + bx to be R-orthomorphisms of the finite field F-q of odd order q. We also prove existence theorems for R-orthomorphisms of this form.
引用
收藏
页码:511 / 521
页数:11
相关论文
共 50 条
[1]
Cyclotomic, R-orthomorphisms of finite fields
Niederreiter, H
论文数:
0
引用数:
0
h-index:
0
机构:
Natl Univ Singapore, Dept Math, Singapore 117543, Singapore
Niederreiter, H
Winterhof, A
论文数:
0
引用数:
0
h-index:
0
机构:
Natl Univ Singapore, Dept Math, Singapore 117543, Singapore
Winterhof, A
DISCRETE MATHEMATICS,
2005,
295
(1-3)
: 161
-
171
[2]
ON PERMUTATION BINOMIALS OVER FINITE FIELDS
Ayad, Mohamed
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Littoral, Lab Math Pures & Appl, F-62228 Calais, France
Univ Littoral, Lab Math Pures & Appl, F-62228 Calais, France
Ayad, Mohamed
论文数:
引用数:
h-index:
机构:
Belghaba, Kacem
Kihel, Omar
论文数:
0
引用数:
0
h-index:
0
机构:
Brock Univ, Dept Math, St Catharines, ON L2S 3A1, Canada
Univ Littoral, Lab Math Pures & Appl, F-62228 Calais, France
Kihel, Omar
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY,
2014,
89
(01)
: 112
-
124
[3]
PERMUTATION BINOMIALS OVER FINITE FIELDS
Masuda, Ariane M.
论文数:
0
引用数:
0
h-index:
0
机构:
Carleton Univ, Sch Math & Stat, Ottawa, ON K1S 5B6, Canada
Carleton Univ, Sch Math & Stat, Ottawa, ON K1S 5B6, Canada
Masuda, Ariane M.
Zieve, Michael E.
论文数:
0
引用数:
0
h-index:
0
机构:
Ctr Commun Res, Princeton, NJ 08540 USA
Carleton Univ, Sch Math & Stat, Ottawa, ON K1S 5B6, Canada
Zieve, Michael E.
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY,
2009,
361
(08)
: 4169
-
4180
[4]
Permutation binomials over finite fields
Oliveira, Jose Alves
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Fed Minas Gerais, Dept Matemat, BR-31270901 Belo Horizonte, MG, Brazil
Univ Fed Minas Gerais, Dept Matemat, BR-31270901 Belo Horizonte, MG, Brazil
Oliveira, Jose Alves
Brochero Martinez, F. E.
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Fed Minas Gerais, Dept Matemat, BR-31270901 Belo Horizonte, MG, Brazil
Univ Fed Minas Gerais, Dept Matemat, BR-31270901 Belo Horizonte, MG, Brazil
Brochero Martinez, F. E.
DISCRETE MATHEMATICS,
2022,
345
(03)
[5]
Stable binomials over finite fields
Fernandes, Arthur
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Fed Minas Gerais, Dept Matemat, UFMG, BR-31270901 Belo Horizonte, MG, Brazil
Carleton Univ, Sch Math & Stat, Ottawa, ON K1S 5B6, Canada
Fernandes, Arthur
论文数:
引用数:
h-index:
机构:
Panario, Daniel
Reis, Lucas
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Fed Minas Gerais, Dept Matemat, UFMG, BR-31270901 Belo Horizonte, MG, Brazil
Carleton Univ, Sch Math & Stat, Ottawa, ON K1S 5B6, Canada
Reis, Lucas
FINITE FIELDS AND THEIR APPLICATIONS,
2025,
101
[6]
Counting irreducible binomials over finite fields
Heyman, Randell
论文数:
0
引用数:
0
h-index:
0
机构:
Univ New S Wales, Dept Pure Math, Sydney, NSW 2052, Australia
Univ New S Wales, Dept Pure Math, Sydney, NSW 2052, Australia
Heyman, Randell
Shparlinski, Igor E.
论文数:
0
引用数:
0
h-index:
0
机构:
Univ New S Wales, Dept Pure Math, Sydney, NSW 2052, Australia
Univ New S Wales, Dept Pure Math, Sydney, NSW 2052, Australia
Shparlinski, Igor E.
FINITE FIELDS AND THEIR APPLICATIONS,
2016,
38
: 1
-
12
[7]
On polynomials over finite fields that are free of binomials
Martinez, Fabio Enrique Brochero
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Fed Minas Gerais, Dept Matemat, BR-31270901 Belo Horizonte, MG, Brazil
Univ Fed Minas Gerais, Dept Matemat, BR-31270901 Belo Horizonte, MG, Brazil
Martinez, Fabio Enrique Brochero
Reis, Lucas
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Fed Minas Gerais, Dept Matemat, BR-31270901 Belo Horizonte, MG, Brazil
Univ Fed Minas Gerais, Dept Matemat, BR-31270901 Belo Horizonte, MG, Brazil
Reis, Lucas
Ribas, Savio
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Fed Ouro Preto, Dept Matemat, BR-35402136 Ouro Preto, MG, Brazil
Univ Fed Minas Gerais, Dept Matemat, BR-31270901 Belo Horizonte, MG, Brazil
Ribas, Savio
DESIGNS CODES AND CRYPTOGRAPHY,
2025,
[8]
A class of permutation binomials over finite fields
Hou, Xiang-dong
论文数:
0
引用数:
0
h-index:
0
机构:
Univ S Florida, Dept Math & Stat, Tampa, FL 33620 USA
Univ S Florida, Dept Math & Stat, Tampa, FL 33620 USA
Hou, Xiang-dong
JOURNAL OF NUMBER THEORY,
2013,
133
(10)
: 3549
-
3558
[9]
A survey of permutation binomials and trinomials over finite fields
Hou, Xiang-dong
论文数:
0
引用数:
0
h-index:
0
机构:
Univ S Florida, Dept Math & Stat, Tampa, FL 33620 USA
Univ S Florida, Dept Math & Stat, Tampa, FL 33620 USA
Hou, Xiang-dong
TOPICS IN FINITE FIELDS,
2015,
632
: 177
-
+
[10]
Determination of a type of permutation binomials over finite fields
Hou, Xiang-Dong
论文数:
0
引用数:
0
h-index:
0
机构:
Univ S Florida, Dept Math & Stat, Tampa, FL 33620 USA
Univ S Florida, Dept Math & Stat, Tampa, FL 33620 USA
Hou, Xiang-Dong
Lappano, Stephen D.
论文数:
0
引用数:
0
h-index:
0
机构:
Univ S Florida, Dept Math & Stat, Tampa, FL 33620 USA
Univ S Florida, Dept Math & Stat, Tampa, FL 33620 USA
Lappano, Stephen D.
JOURNAL OF NUMBER THEORY,
2015,
147
: 14
-
23
←
1
2
3
4
5
→