• Title of article

    On a class of repeated-root monomial-like abelian codes

  • Author/Authors

    Martínez-Moro, Edgar University of Valladolid - Institute of Mathematics - Applied Mathematics Department, Spain , Özadam, Hakan Middle East Technical University - Institute of Applied Mathematics - Department of Mathematics, Turkey , Özadam, Hakan University of Massachusetts - Medical School, USA , Özbudak, Ferruh Middle East Technical University - Institute of Applied Mathematics - Department of Mathematics, Turkey , Szabo, Steve Eastern Kentucky University - Department of Mathematics and Statistics, USA

  • From page
    75
  • To page
    84
  • Abstract
    In this paper we study polycyclic codes of length p^s1 *...* p^sn over Fpa generated by a singlemonomial. These codes form a special class of abelian codes. We show that these codes arise fromthe product of certain single variable codes and we determine their minimum Hamming distance.Finally we extend the results of Massey et. al. in [10] on the weight retaining property of monomialsin one variable to the weight retaining property of monomials in several variables.
  • Keywords
    Repeated , root Cyclic code , Abelian code , Weight , retaining property
  • Journal title
    Journal Of Algebra Combinatorics Discrete Structures an‎d Applications
  • Journal title
    Journal Of Algebra Combinatorics Discrete Structures an‎d Applications
  • Record number

    2650123

    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=10&DC=2650123