• DocumentCode
    914060
  • Title

    Further results on product codes

  • Author

    Gore, Willis C.

  • Volume
    16
  • Issue
    4
  • fYear
    1970
  • fDate
    7/1/1970 12:00:00 AM
  • Firstpage
    446
  • Lastpage
    451
  • Abstract
    A new class of codes, called product generator codes, which are similar to Elias\´s iterated codes, are investigated. An important subclass of these codes is the generalized Reed-Muller codes. If the original codes that are iterated to produce a product code are L_1 and L_2 -step orthogonalizable, then the product code is ( L_1 + L_2 - 1 )-step orthogonalizable. Further if a \\nu th-order product generator code is produced from these original L -step orthogonal izable codes, the new code is at most (\\nu +1) step orthogonalizable.
  • Keywords
    Product codes; Reed-Muller codes; Error correction codes; Gold; History; NIST; Parity check codes; Product codes; Prototypes; Reed-Solomon codes; Shift registers; Vectors;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.1970.1054477
  • Filename
    1054477
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=914060