Algebraic-geometry codes with asymptotic parameters better than the Gilbert-Varshamov and the Tsfasman-Vladut-Zink bounds

  • Authors:
  • Chaoping Xing

  • Affiliations:
  • Dept. of Math., Nat. Univ. of Singapore

  • Venue:
  • IEEE Transactions on Information Theory
  • Year:
  • 2001

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Abstract

In this correspondence, we show that both the Gilbert-Varshamov and the Tsfasman-Vladut-Zink bounds can be improved by Goppa geometric codes around two points where these two bounds intersect