• DocumentCode
    997810
  • Title

    Identifying high-dimension subspace subcodes of Reed-Solomon codes

  • Author

    Spence, Sarah A.

  • Author_Institution
    Franklin W. Olin Coll. of Eng., Needham, MA, USA
  • Volume
    50
  • Issue
    6
  • fYear
    2004
  • fDate
    6/1/2004 12:00:00 AM
  • Firstpage
    1280
  • Lastpage
    1282
  • Abstract
    Subspace subcodes of Reed-Solomon (SSRS) codes were introduced by Hattori, McEliece, Solomo, and Lin in the mid-1990s. These authors found a complicated dimension formula and a simple, tight lower bound on the dimension of SSRS codes over F2m. We prove a conjecture of Hattori concerning how to identify subspaces that can be used to build SSRS codes whose dimension exceeds this lower bound.
  • Keywords
    Reed-Solomon codes; cyclic codes; error correction codes; Reed-Solomon codes; SSRS codes; cyclic codes; dimension formula; error-control codes; nonbinary codes; subspace subcodes; tight lower bound; Additives; Codes; Joining materials; Mathematics; Dimension; Reed–Solomon codes; error-control codes; nonbinary codes; subspace subcodes;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.2004.828142
  • Filename
    1302305
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=997810