Open AccessOn Codes over the Rings fq + ufq + vfq + uvfq
Author(s) -
Ibrahim M Yaghi,
Mohammed M Ali Ashker
Publication year - 2019
Publication title -
ganit
Language(s) - English
Resource type - Journals
eISSN - 2224-5111
pISSN - 1606-3694
DOI - 10.3329/ganit.v38i0.39785
Subject(s) - prime (order theory) , generalization , prime power , mathematics , ring (chemistry) , extension (predicate logic) , combinatorics , discrete mathematics , computer science , mathematical analysis , chemistry , organic chemistry , programming language
In this paper, we study the structure of linear and self dual codes of an arbitrary length n overhearing Fq + uFq + vFq + uvFq, where q is a power of the prime p and u2 = v2 = 0, uv = vu, Also we obtain the structure of consta-cyclic codes of length n = q − 1 over the ring Fq + uFq + vFq + uvFq in the light of studying cyclic codes over Fq + uFq + vFq + uvFq in [6]. This study is a generalization and extension of the works in [7], [8], and [10].
GANIT J. Bangladesh Math. Soc.Vol. 38 (2018) 57-71