New code parameters from Reed-Solomon subfield codes

  • Authors:

  • J. Bierbrauer;Y. Edel

  • Affiliations:

  • Dept. of Math. Sci., Michigan Technol. Univ., Houghton, MI;-

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

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Abstract

We determine the dimensions of subfield codes of Reed-Solomon codes and construct certain extensions and lengthenings of these codes. We start from the duals, using the language of orthogonal arrays. As a first result this allows us to obtain a fair number of improvements in the list of binary, ternary, and quaternary linear codes with largest known minimal distance