Codes on Garcia-Stichtenoth curves with true distance greater than Feng-Rao distance

  • Authors:
  • Hao Chen

  • Affiliations:
  • Dept. of Math., Zhongshan Univ., Guangzhou

  • Venue:
  • IEEE Transactions on Information Theory
  • Year:
  • 2006

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Abstract

We give codes on all members after level 4 of the family of Garcia-Stichtenoth (see Invent. Math., vol.121, p.211-22, 1995) curves with the property dtrue>dFR. These codes also give an improvement on Tsfasman-Vladut-Zink bound