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New code parameters from Reed-Solomon subfield codes

IEEE Transactions on Information Theory 43 (1997), 953-968.

doi:10.1109/18.568704

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.

Download the preprint as pdf.

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