SOME NEW CONSTRUCTIONS OF LINEAR CODES INCLUDING A WIDE FAMILY OF MDS CODES
نویسندگان
1 Department of Mathematical Sciences, University of Kashan, P.O. Box 87317- 53153, Kashan, Iran.
2 Department of Mathematical Sciences, University of Kashan, P.O. Box 87317- 53153, Kashan, Iran.
doi
10.22044/jas.2019.7004.1343چکیده
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.
