Two classes of permutation trinomials with Niho exponents

2018 ◽  
Vol 53 ◽  
pp. 99-112 ◽  
Author(s):  
Ziran Tu ◽  
Xiangyong Zeng
Keyword(s):  
Niho Exponents ◽  
Permutation Trinomials

Several classes of permutation trinomials from Niho exponents over finite fields of characteristic 3

2019 ◽  
Vol 18 (04) ◽  
pp. 1950069
Author(s):  
Qian Liu ◽  
Yujuan Sun
Keyword(s):  
Positive Integer ◽  
Finite Field ◽  
Coding Theory ◽  
Permutation Polynomials ◽  
Combinatorial Designs ◽  
Dickson Polynomial ◽  
Niho Exponents ◽  
Characteristic 3 ◽  
Permutation Trinomials ◽  
Algebraic Forms

Permutation polynomials have important applications in cryptography, coding theory, combinatorial designs, and other areas of mathematics and engineering. Finding new classes of permutation polynomials is therefore an interesting subject of study. Permutation trinomials attract people’s interest due to their simple algebraic forms and additional extraordinary properties. In this paper, based on a seventh-degree and a fifth-degree Dickson polynomial over the finite field [Formula: see text], two conjectures on permutation trinomials over [Formula: see text] presented recently by Li–Qu–Li–Fu are partially settled, where [Formula: see text] is a positive integer.

Two classes of permutation trinomials with Niho exponents

2021 ◽  
Vol 70 ◽  
pp. 101790
Author(s):  
Lijing Zheng ◽  
Haibin Kan ◽  
Jie Peng ◽  
Deng Tang
Keyword(s):  
Niho Exponents ◽  
Permutation Trinomials

Further results on permutation trinomials with Niho exponents

2019 ◽  
Vol 11 (5) ◽  
pp. 1057-1068
Author(s):  
Libo Wang ◽  
Baofeng Wu ◽  
Xiaoqiang Yue ◽  
Yanbin Zheng
Keyword(s):  
Niho Exponents ◽  
Permutation Trinomials

More classes of permutation trinomials with Niho exponents

2018 ◽  
Vol 11 (2) ◽  
pp. 227-236 ◽  
Author(s):  
Huali Deng ◽  
Dabin Zheng
Keyword(s):  
Niho Exponents ◽  
Permutation Trinomials

scholarly journals Determination of a class of permutation trinomials in characteristic three

2020 ◽  
Vol 61 ◽  
pp. 101596 ◽  
Author(s):  
Xiang-dong Hou ◽  
Ziran Tu ◽  
Xiangyong Zeng
Keyword(s):  
Permutation Trinomials
Sign in / Sign up

Export Citation Format

Share Document