• DocumentCode
    1385309
  • Title

    Generalized Algebraic Geometric Codes From Maximal Curves

  • Author

    Calderini, Marco ; Faina, Giorgio

  • Author_Institution
    Dipt. di Mat., Univ. di Trento, Povo, Italy
  • Volume
    58
  • Issue
    4
  • fYear
    2012
  • fDate
    4/1/2012 12:00:00 AM
  • Firstpage
    2386
  • Lastpage
    2396
  • Abstract
    Some new results on Generalized Algebraic Geometric (GAG) codes are obtained. First, we provide some constructions which significantly improve the general lower bounds on the minimum distance of a GAG code. GAG codes associated to specific maximal curves over finite fields are then investigated. As a result, 2895 improvements on MinT´s tables are obtained. Finally, we construct asymptotically good GAG codes with better parameters with respect to those constructed by Spera in 2005. Maximal curves play a role in this context as well.
  • Keywords
    algebraic codes; geometric codes; GAG code; MinT tables; general lower bounds; generalized algebraic geometric codes; maximal curves; Bismuth; Entropy; Indexes; Linear code; Polynomials; Vectors; AG codes; GAG codes; asymptotically goood codes; maximal curves;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.2011.2177068
  • Filename
    6092486
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1385309