scholarly journals The compositional inverse of a class of linearized permutation polynomials overF2n, n odd

2014 ◽  
Vol 29 ◽  
pp. 34-48 ◽  
Author(s):  
Baofeng Wu
Keyword(s):  
Permutation Polynomials ◽  
Compositional Inverse

A NOTE ON INTERPOLATION OF PERMUTATIONS OF A SUBSET OF A FINITE FIELD

2014 ◽  
Vol 90 (2) ◽  
pp. 213-219 ◽  
Author(s):  
CHRIS CASTILLO ◽  
ROBERT S. COULTER ◽  
STEPHEN SMITH
Keyword(s):  
Finite Field ◽  
Finite Fields ◽  
Interpolation Formula ◽  
Permutation Polynomials ◽  
Classical Interpolation ◽  
Compositional Inverse

AbstractWe determine several variants of the classical interpolation formula for finite fields which produce polynomials that induce a desirable mapping on the nonspecified elements, and without increasing the number of terms in the formula. As a corollary, we classify those permutation polynomials over a finite field which are their own compositional inverse, extending work of C. Wells.

scholarly journals The compositional inverse of a class of permutation polynomials over a finite field

2002 ◽  
Vol 65 (3) ◽  
pp. 521-526 ◽  
Author(s):  
Robert S. Coulter ◽  
Marie Henderson
Keyword(s):  
Finite Field ◽  
Permutation Polynomials ◽  
New Class ◽  
Compositional Inverse

A new class of bilinear permutation polynomials was recently identified. In this note we determine the class of permutation polynomials which represents the functional inverse of the bilinear class.

scholarly journals Two types of permutation polynomials with special forms

2019 ◽  
Vol 56 ◽  
pp. 1-16 ◽  
Author(s):  
Dabin Zheng ◽  
Mu Yuan ◽  
Long Yu
Keyword(s):  
Permutation Polynomials

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.

Sign in / Sign up

Export Citation Format

Share Document