• DocumentCode
    1208139
  • Title

    Low-correlation, large linear span sequences from function fields

  • Author

    Xing, Chaoping ; Kumar, P. Vijay ; Ding, Cunsheng

  • Author_Institution
    Dept. of Math., Nat. Univ. of Singapore, Singapore
  • Volume
    49
  • Issue
    6
  • fYear
    2003
  • fDate
    6/1/2003 12:00:00 AM
  • Firstpage
    1439
  • Lastpage
    1446
  • Abstract
    A general method of generating families of binary sequences with low correlation as well as large linear span is presented. The lower bound on the linear span is on the order of the square root of the period of each sequence within the family. The design makes use of the theory of function fields. Two example applications of this method are presented in which the underlying function fields are the rational and elliptic function fields respectively.
  • Keywords
    binary sequences; correlation methods; binary sequences; elliptic function fields; function fields theory; large linear span sequences; low-correlation sequences; lower bound; rational function fields; sequence period; Binary sequences; Chaos; Computer science; Galois fields; Gold; Linear feedback shift registers; Mathematics; Polynomials; Random sequences;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.2003.811905
  • Filename
    1201067