More results about a class of quadrinomials over finite fields of odd characteristic

被引：10

作者：

Gupta, Rohit ^{[1
]}

机构：

[1] Birla Inst Technol & Sci Pilani, Dept Math, Hyderabad Campus, Hyderabad 500078, Telangana, India

来源：

COMMUNICATIONS IN ALGEBRA | 2022年 / 50卷 / 01期

关键词：

Finite field; Permutation polynomial; Permutation quadrinomial; PERMUTATION TRINOMIALS; POLYNOMIALS; CONJECTURE;

D O I：

10.1080/00927872.2021.1958222

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let Fq denote the finite field with q elements. In this paper, we study the permutation property of the class of quadrinomials x(3) + ax(q+2) + bx(2q+1) + cx(3q) is an element of F-q2[x], where char(F-q)is an element of{3,5}. With some additional assumption on the coefficients, we propose several new necessary and sufficient conditions on the coefficients that yield permutation quadrinomials.

引用

页码：324 / 333

页数：10

共 25 条

[1] A family of permutation trinomials over Fq2 [J].

Bartoli, Daniele ;

Timpanella, Marco .

FINITE FIELDS AND THEIR APPLICATIONS, 2021, 70

[2] On a conjecture about a class of permutation trinomials [J].

Bartoli, Daniele .

FINITE FIELDS AND THEIR APPLICATIONS, 2018, 52 :30-50

[3] Permutation polynomials, fractional polynomials, and algebraic curves [J].

Bartoli, Daniele ;

Giulietti, Massimo .

FINITE FIELDS AND THEIR APPLICATIONS, 2018, 51 :1-16

[4] A family of skew Hadamard difference sets [J].

Ding, Cunsheng ;

Yuan, Jin .

JOURNAL OF COMBINATORIAL THEORY SERIES A, 2006, 113 (07) :1526-1535

[5] PERMUTATION TRINOMIALS OVER FINITE FIELDS WITH EVEN CHARACTERISTIC [J].

Ding, Cunsheng ;

Qu, Longjiang ;

Wang, Qiang ;

Yuan, Jin ;

Yuan, Pingzhi .

SIAM JOURNAL ON DISCRETE MATHEMATICS, 2015, 29 (01) :79-92

[6] Optimal Ternary Cyclic Codes From Monomials [J].

Ding, Cunsheng ;

Helleseth, Tor .

IEEE TRANSACTIONS ON INFORMATION THEORY, 2013, 59 (09) :5898-5904

[7] Several new permutation quadrinomials over finite fields of odd characteristic [J].

Gupta, Rohit .

DESIGNS CODES AND CRYPTOGRAPHY, 2020, 88 (01) :223-239

[8] Some new classes of permutation trinomials over finite fields with even characteristic [J].

Gupta, Rohit ;

Sharma, R. K. .

FINITE FIELDS AND THEIR APPLICATIONS, 2016, 41 :89-96

[9] On a class of permutation trinomials in characteristic 2 [J].

Hou, Xiang-dong .

CRYPTOGRAPHY AND COMMUNICATIONS-DISCRETE-STRUCTURES BOOLEAN FUNCTIONS AND SEQUENCES, 2019, 11 (06) :1199-1210

[10] A survey of permutation binomials and trinomials over finite fields [J].

Hou, Xiang-dong .

TOPICS IN FINITE FIELDS, 2015, 632 :177-+

← 1 2 3 →