• DocumentCode
    914203
  • Title

    Arithmetic norms and bounds of the arithmetic AN codes

  • Author

    Chiang, Albert C L ; Reed, Irving S.

  • Volume
    16
  • Issue
    4
  • fYear
    1970
  • fDate
    7/1/1970 12:00:00 AM
  • Firstpage
    470
  • Lastpage
    476
  • Abstract
    Properties of integers, related to the generation of the arithmetic AN codes, are investigated in this paper. A programmable algorithm for the computation of the binary norm of an arbitrary integer is developed. A table of norms of the natural numbers is generated and from this the distribution of integers of a given norm is found. These results are used to compute bounds on the size of an e -fold or less error-correcting AN code and to derive some further properties of single- and double-error-correcting AN codes.
  • Keywords
    Arithmetic codes; Arithmetic; Contracts; Hamming distance; Polynomials; Upper bound;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.1970.1054492
  • Filename
    1054492
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=914203