Optimal large linear complexity frequency hopping patterns derived from polynomial residue class rings

  • Authors:
  • P. Udaya;M. U. Siddiqi

  • Affiliations:
  • Dept. of Math., R. Melbourne Inst. of Technol. Univ., Vic.;-

  • Venue:
  • IEEE Transactions on Information Theory
  • Year:
  • 1998

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Abstract

We construct new sequences over finite rings having optimal Hamming correlation properties. These sequences are useful in frequency hopping multiple-access (FHMA) spread-spectrum communication systems. Our constructions can be classified into linear and nonlinear categories, both giving optimal Hamming correlations according to Lempel-Greenberger (1974) bound. The nonlinear sequences have large linear complexity and can be seen as a generalized version of GMW sequences over fields