• Title of article

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

  • Author/Authors

    Rafieepour ، A. - University of Kashan , Mazrooei ، M. - University of Kashan

  • Pages
    10
  • From page
    291
  • To page
    300
  • 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 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
  • Keywords
    Linear code , MDS code
  • Journal title
    Journal of Algebraic Systems
  • Serial Year
    2020
  • Journal title
    Journal of Algebraic Systems
  • Record number

    2472912