• Title of article

    Skew cyclic codes over F_q + uF_q + vF_q + uvF_q

  • Author/Authors

    Yao, Ting Anhui University - School of Mathematical Sciences, China , Shi, Minjia Anhui University - School of Mathematical Sciences, China , Solé, Patrick Telecom Paris Tech, France

  • From page
    163
  • To page
    168
  • Abstract
    In this paper, we study skew cyclic codes over the ring R = F_q+uF_q+vF_q+uvF_q, where u^2 = u; v^2 = v; uv = vu, q = pm and p is an odd prime. We investigate the structural properties of skew cyclic codes over R through a decomposition theorem. Furthermore, we give a formula for the number of skew cyclic codes of length n over R:
  • Keywords
    Linear codes , Skew cyclic codes , Gray map , Generator polynomial
  • Journal title
    Journal Of Algebra Combinatorics Discrete Structures an‎d Applications
  • Journal title
    Journal Of Algebra Combinatorics Discrete Structures an‎d Applications
  • Record number

    2650129

    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=10&DC=2650129