Codebooks from almost difference sets

  • Authors:
  • Cunsheng Ding;Tao Feng

  • Affiliations:
  • Department of Computer Science and Engineering, The Hong Kong University of Science and Technology, Kowloon, China;School of Mathematical Sciences, Peking University, Beijing, China 100871

  • Venue:
  • Designs, Codes and Cryptography
  • Year:
  • 2008

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Abstract

In direct spread CDMA systems, codebooks meeting the Welch bounds are used to distinguish among the signals of different users. Recently, constructions of codebooks with difference sets meeting Welch's bound on the maximum cross-correlation amplitude were developed. In this paper, a generic construction of codebooks using almost difference sets is considered and several classes of codebooks nearly meeting the Welch bound are obtained. The parameters of the codebooks constructed in this paper are new.