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New code parameters from Reed-Solomon subfield codes

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2 Author(s)
J. Bierbrauer ; Dept. of Math. Sci., Michigan Technol. Univ., Houghton, MI, USA ; Y. Edel

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

Published in:

IEEE Transactions on Information Theory  (Volume:43 ,  Issue: 3 )