Finite binary sequences constructed by explicit inversive methods

  • Authors:
  • Zhixiong Chen

  • Affiliations:
  • Department of Mathematics, Putian University, Putian, Fujian 351100, PR China and Key Lab of Network Security and Cryptology, Fujian Normal University, Fuzhou, Fujian 350007, PR China

  • Venue:
  • Finite Fields and Their Applications
  • Year:
  • 2008

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Abstract

Some families of finite binary sequences with strong pseudo-random properties are constructed by explicit inversive methods. Two important pseudo-random measures, the well-distribution measure and the correlation measure of small order k, are evaluated for the binary sequences by using some estimates of certain exponential sums over finite fields. These constructions may provide a very attractive alternative to traditional methods in applications.