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Start Over Topic linear codes Publication Year Range Last 10 years Publisher shahrood university of technology
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1. SOME NEW CONSTRUCTIONS OF LINEAR CODES INCLUDING A WIDE FAMILY OF MDS CODES

Author

A. Rafieepour and M. Mazrooei

Subjects
finite fields, linear codes, mds codes, Mathematics, QA1-939
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.

Published
2020
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