• DocumentCode
    761722
  • Title

    Generation of canonical M-sequences and dual bases

  • Author

    Komo, John J. ; Reid, William J., III

  • Author_Institution
    Dept. of Electr. & Comput. Eng., Clemson Univ., SC, USA
  • Volume
    42
  • Issue
    2
  • fYear
    1996
  • fDate
    3/1/1996 12:00:00 AM
  • Firstpage
    638
  • Lastpage
    641
  • Abstract
    An expression for the shift necessary to obtain a canonical M-sequence is obtained in terms of the coefficients of the primitive polynomial that generates this m-sequence. This shift for obtaining a canonical M-sequence is also directly related to the shift for obtaining the location of the span “100...0” in the M-sequence. In addition, a recursion is developed for obtaining the dual basis elements of the basis expressing GF(qm) over GF(q). Canonical M-sequences and dual bases are important in the design of sequences for spread-spectrum multiple-access systems as well as in the design of general decoder structures using bit-serial encoders
  • Keywords
    Galois fields; decoding; encoding; polynomials; sequences; Galois field; bit-serial encoders; canonical M-sequences generation; decoder structures; dual bases; primitive polynomial coefficients; recursion; spread-spectrum multiple-access systems; Polynomials;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/18.485735
  • Filename
    485735
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=761722