• DocumentCode
    1205776
  • Title

    Norm quadratic-residue codes

  • Author

    Tiu, Philip D. ; Wallace, Dorothy I.

  • Author_Institution
    Dept. of Math., St. Mary´´s Coll., Notre Dame, IN, USA
  • Volume
    40
  • Issue
    3
  • fYear
    1994
  • fDate
    5/1/1994 12:00:00 AM
  • Firstpage
    946
  • Lastpage
    949
  • Abstract
    Introduces a new class of binary linear error-correcting codes, based on the concept of the finite upper half-plane. A norm quadratic-residue code Cp has p(p-1) coordinate places labeled by ordered pairs (a,b), where p is a prime of the form 4m+1 and a,b ∈ GF(p), b≠0. Some fundamental properties of Cp are established
  • Keywords
    error correction codes; binary linear error-correcting code; coordinate places; finite upper half-plane; norm quadratic-residue code Cp; ordered pairs; Binary codes; Erbium; Error correction codes; Galois fields; Mathematics; Modular construction; Vectors;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/18.335908
  • Filename
    335908
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1205776