Permutation polynomials over Galois fields of characteristic | Zendy

Z.L. Dahiru | Zendy; A.M. Lawan | Zendy

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Permutation polynomials over Galois fields of characteristic

Author(s) -

Z.L. Dahiru,

A.M. 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.

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