• DocumentCode
    909842
  • Title

    On trinomial recurrences

  • Author

    Goldstein, Richard M. ; Zierler, Neal

  • Volume
    14
  • Issue
    1
  • fYear
    1968
  • fDate
    1/1/1968 12:00:00 AM
  • Firstpage
    150
  • Lastpage
    151
  • Abstract
    Let G be the set of all linear recurring sequences generated by a polynomial f . It is shown that the linear functional advancing the phase of every sequence in G by k may be obtained essentially as the k th state of a certain member of G depending only on f when and only when f is a binomial or trinomial.
  • Keywords
    Polynomials; Sequences; Combinatorial mathematics; Decoding; Error correction codes; Information theory; Intersymbol interference; Laboratories; Machine tools; Polynomials; Propulsion; Space technology;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.1968.1054086
  • Filename
    1054086