• DocumentCode
    1086071
  • Title

    On several new projective curves over F2 of genus 3, 4, and 5

  • Author

    Moreno, Oscar ; Zinoviev, Dmitrii ; Zinoviev, Victor

  • Author_Institution
    Dept. of Math., Puerto Rico Univ., Rio Piedras, Puerto Rico
  • Volume
    41
  • Issue
    6
  • fYear
    1995
  • fDate
    11/1/1995 12:00:00 AM
  • Firstpage
    1643
  • Lastpage
    1648
  • Abstract
    Using known techniques of desingularization for singular plane projective curves over finite fields Fq, q=2m, we found several new binary plane projective curves of genus 3, 4, and 5 with the maximal number of Fq-rational points (q=2m, m=3, 4, 5, 6, 7, 8, and 9) on their smooth projective models, which are close to or meet Serre´s upper bound
  • Keywords
    Goppa codes; algebraic geometric codes; Fq-rational points; Goppa codes; Serre´s upper bound; algebraic-geometric codes; binary plane projective curves; desingularization; finite fields; genus; singular plane projective curves; smooth projective models; Algebra; Contracts; Galois fields; Information theory; Integral equations; Mathematics; Polynomials; Upper bound; Workstations;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/18.476236
  • Filename
    476236
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1086071