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Some new codes from binary Goppa codes and a method of shortening linear codes

Some new codes from binary Goppa codes and a method of shortening linear codes

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Goppa codes have some of the largest minimum distances possible for linear codes. The authors use some binary Goppa codes in which four new binary codes are obtained with parameters better than any codes known to date. The authors also present the necessary conditions for a code obtained by shortening a longer code which will have a greater minimum distance than the original code.

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