• DocumentCode
    1375017
  • Title

    A new family of frequency-hop codes

  • Author

    Moreno, O. ; Maric, S.V.

  • Author_Institution
    Dept. of Math., Puerto Rico Univ., San Juan, Puerto Rico
  • Volume
    48
  • Issue
    8
  • fYear
    2000
  • Firstpage
    1241
  • Lastpage
    1244
  • Abstract
    We give an algebraic construction for a new family of frequency-hop codes. The construction is based on properties of finite fields: it is shown that for each field GF(p/sup m/), there exists a large number of codes of length p/sup m/. The codes are also shown to possess the best possible simultaneous two-dimensional autocorrelation and cross-correlation properties. Moreover, they include a family of codes: with a code length of a power of 2, which are ideally suitable for applications in digital communication systems.
  • Keywords
    Algebraic codes; Correlation methods; Digital radio; Frequency hop communication; Galois fields; Multi-access systems; 2D autocorrelation property; 2D cross-correlation property; Galois fields; algebraic construction; code length; digital communication systems; finite fields; frequency-hop codes; multiuser communication systems; Art; Autocorrelation; Communication systems; Digital communication; Frequency; Galois fields; Land mobile radio; Linear algebra; Radar; Sonar;
  • fLanguage
    English
  • Journal_Title
    Communications, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0090-6778
  • Type

    jour

  • DOI
    10.1109/26.864158
  • Filename
    864158