On Xia's Construction of Hadamard Difference Sets

  • Authors:
  • Qing Xiang;Yu Qing Chen

  • Affiliations:
  • Department of Mathematics, Ohio State University, Columbus, Ohio, 43210, f1E-mail: xiang@math.ohio-state.eduf1;Department of Mathematics, Ohio State University, Columbus, Ohio, 43210, f1E-mail: xiang@math.ohio-state.eduf1

  • Venue:
  • Finite Fields and Their Applications
  • Year:
  • 1996

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Abstract

In this paper, we present a new way of viewing Xia's construction of Hadamard difference sets. Based on this new point of view, we give a character theoretic proof for Xia's construction. Also we point out a connection between the construction and projective three-weight codes.