Open AccessPermutation polynomials over Galois fields of characteristic
Author(s) -
Z.L. Dahiru,
Amina Muhammad Lawan
Publication year - 2021
Publication title -
bayero journal of pure and applied sciences
Language(s) - English
Resource type - Journals
ISSN - 2006-6996
DOI - 10.4314/bajopas.v13i2.11
Subject(s) - monomial , mathematics , generic polynomial , permutation (music) , polynomial , combinatorics , class (philosophy) , galois theory , galois group , reciprocal polynomial , discrete mathematics , monomial basis , cyclic permutation , pure mathematics , embedding problem , matrix polynomial , differential galois theory , symmetric group , physics , computer science , mathematical analysis , artificial intelligence , acoustics
In this paper, a class of permutation polynomial known as o-polynomial over Galois fields of characteristic 2 was studied. A necessary and sufficients condition for a monomial 2k to be an o-polynomial over F2t is given and two results obtained by Gupta and Sharma (2016) were deduced.