• DocumentCode
    3299684
  • Title

    Syndrome calculation for the decoding of algebraic-geometry codes on plane Garcia-Stichtenoth curves

  • Author

    Lu, Chung-Chin ; Yang, Chih-Yen ; Lee, Ti-Chung

  • Author_Institution
    Dept. of Electr. Eng., Nat. Tsing Hua Univ., Hsinchu, Taiwan
  • fYear
    2010
  • fDate
    17-20 Oct. 2010
  • Firstpage
    991
  • Lastpage
    994
  • Abstract
    In this paper, the basic function field of an asymptotically optimal tower of function fields by Garcia and Stichtenoth is studied, where bases of one-point linear systems can be explicitly constructed. A representation of finite GF(q2)-rational points on the associated plane curve is derived and exploited to develop a real-time hardware architecture for the calculation of syndromes needed in the decoding of AG codes built on this curve.
  • Keywords
    algebraic geometric codes; decoding; algebraic-geometry codes; asymptotically optimal tower; decoding; one-point linear systems; plane Garcia-Stichtenoth curves; real-time hardware architecture; syndrome calculation; Computer architecture; Decoding; Hardware; Linear systems; Poles and towers; Polynomials; Real time systems;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Information Theory and its Applications (ISITA), 2010 International Symposium on
  • Conference_Location
    Taichung
  • Print_ISBN
    978-1-4244-6016-8
  • Electronic_ISBN
    978-1-4244-6017-5
  • Type

    conf

  • DOI
    10.1109/ISITA.2010.5649521
  • Filename
    5649521
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3299684