Cross-Correlations of Quadratic Form Sequences in OddCharacteristic

  • Authors:
  • A. Klapper

  • Affiliations:
  • Department of Computer Science, 763H Anderson Hall, University of Kentucky, Lexington, KY 40506-0046. E-mail: klapper@cs.uky.edu

  • Venue:
  • Designs, Codes and Cryptography
  • Year:
  • 1997

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Abstract

Cross-correlation functions are determined for a large class of geometricsequences based on m-sequences in odd characteristic. These sequences areshown to have low cross-correlation values in certain cases. They also havesignificantly higher linear spans than previously studied geometricsequences. These results show that geometric sequences are candidates for usein spread-spectrum communications systems in which cryptographic security isa factor.