New ternary quasi-cyclic codes with better minimum distances

  • Authors:
  • I. Siap;N. Aydin;D. K. Ray-Chaudhuri

  • Affiliations:
  • Dept. of Math., Ohio State Univ., Columbus, OH;-;-

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

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Abstract

One of the most important problems of coding theory is to construct codes with best possible minimum distances. In this article, using the structure of quasi-cyclic (QC) codes with a BCH-type bound given by Lally and Fitzpatrick (see WCC '99, Workshop on Coding and Cryptography, Paris, France, 1999), we have found 20 new ternary quasi-cyclic codes with improved minimum distances