• DocumentCode
    1291007
  • Title

    An Assmus-Mattson theorem for Z4-codes

  • Author

    Tanabe, Kenichiro

  • Author_Institution
    Graduate Sch. of Math., Kyushu Univ., Fukuoka, Japan
  • Volume
    46
  • Issue
    1
  • fYear
    2000
  • fDate
    1/1/2000 12:00:00 AM
  • Firstpage
    48
  • Lastpage
    53
  • Abstract
    The Assmus-Mattson theorem is a method to find designs in linear codes over a finite field. The purpose of this paper is to give an analog of this theorem for Z4-codes by using the harmonic weight enumerator introduced by Bachoc. This theorem can find some 5-designs in the lifted Golay code over Z4 which were discovered previously by other methods
  • Keywords
    Golay codes; 5-designs; Assmus-Mattson theorem; Z4-codes; harmonic weight enumerator; lifted Golay code; Binary codes; Design methodology; Galois fields; Hamming weight; Helium; Kernel; Linear code; Linearity; Mathematics;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/18.817507
  • Filename
    817507
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1291007