• DocumentCode
    2441506
  • Title

    Generalized Frobenius extensions of finite rings and trace functions

  • Author

    Greferath, Marcus ; Nechaev, Alexandr

  • Author_Institution
    Claude Shannon Inst., Univ. Coll. Dublin, Dublin, Ireland
  • fYear
    2010
  • fDate
    Aug. 30 2010-Sept. 3 2010
  • Firstpage
    1
  • Lastpage
    5
  • Abstract
    We present a notion of generalized Frobenius extension for finite rings, and study related trace functions. Then we show applications of such extensions for algebraic coding theory.
  • Keywords
    algebraic codes; algebraic coding theory; finite rings; generalized Frobenius extensions; trace functions; Additives; Hamming distance; Hamming weight; Measurement; Modules (abstract algebra);
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Information Theory Workshop (ITW), 2010 IEEE
  • Conference_Location
    Dublin
  • Print_ISBN
    978-1-4244-8262-7
  • Electronic_ISBN
    978-1-4244-8263-4
  • Type

    conf

  • DOI
    10.1109/CIG.2010.5592917
  • Filename
    5592917
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2441506