SOME NEW CONSTRUCTIONS OF LINEAR CODES INCLUDING A WIDE FAMILY OF MDS CODES
Publish place: Journal of Algebraic Systems، Vol: 7، Issue: 2
Publish Year: 1399
Type: Journal paper
Language: English
View: 548
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Document National Code:
JR_JAS-7-2_015
Index date: 9 December 2019
SOME NEW CONSTRUCTIONS OF LINEAR CODES INCLUDING A WIDE FAMILY OF MDS CODES abstract
Let $mathbb{Z}_p$ be the finite field of integers modulo $p$, where $p> 3$ is a prime integer. This paper presents new constructions of linear codes over $mathbb{Z}_p$. Based on our construction, linear codes of length $p-1$, including a wide family of MDS codes, and codes of length $(p-1)^2$ are constructed. we shall discuss the parameters of the codes defined while describing a generator matrix for the first family.
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SOME NEW CONSTRUCTIONS OF LINEAR CODES INCLUDING A WIDE FAMILY OF MDS CODES authors
A. Rafieepour
Department of Mathematical Sciences, University of Kashan, P.O. Box ۸۷۳۱۷- ۵۳۱۵۳, Kashan, Iran.
M. Mazrooei
Department of Mathematical Sciences, University of Kashan, P.O. Box ۸۷۳۱۷- ۵۳۱۵۳, Kashan, Iran.