SOME NEW CONSTRUCTIONS OF LINEAR CODES INCLUDING A WIDE FAMILY OF MDS CODES

Document Type : Original Manuscript

Authors

Department of Mathematical Sciences, University of Kashan, P.O. Box 87317- 53153, Kashan, Iran.

Abstract

Let ‎Zp‎ be the finite field of integers modulo ‎p‎, where ‎p>3‎ is a prime integer. This paper presents new constructions of linear codes over ‎Zp‎‎. Based on our construction, linear codes of length ‎p1‎, including a wide family of MDS codes, and codes of length ‎(p1)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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