• DocumentCode
    1343261
  • Title

    Decompositions and extremal type II codes over Z4

  • Author

    Huffman, W. Cary

  • Author_Institution
    Dept. of Math. Sci., Loyola Univ., Chicago, IL, USA
  • Volume
    44
  • Issue
    2
  • fYear
    1998
  • fDate
    3/1/1998 12:00:00 AM
  • Firstpage
    800
  • Lastpage
    809
  • Abstract
    In previous work by Huffman and by Yorgov (1983), a decomposition theory of self-dual linear codes C over a finite field Fq was given when C has a permutation automorphism of prime order r relatively prime to q. We extend these results to linear codes over the Galois ring Z4 and apply the theory to Z4-codes of length 24. In particular we obtain 42 inequivalent [24,12] Z4-codes of minimum Euclidean weight 16 which lead to 42 constructions of the Leech lattice
  • Keywords
    Galois fields; dual codes; lattice theory; linear codes; Galois ring Z4; Leech lattice; Z4-codes; decomposition theory; extremal type II codes; inequivalent [24,12] Z4-codes; length; linear codes; minimum Euclidean weight; permutation automorphism; prime; self-dual linear codes; Communication system control; Galois fields; Lattices; Linear code; Polynomials;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/18.661525
  • Filename
    661525
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1343261