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Two-point AG codes on the GK maximal curves

Published 23 Jul 2015 in math.AG, cs.IT, and math.IT | (1507.06620v1)

Abstract: We determine de Weierstrass semigroup of a pair of certain rational points on the GK-curves. We use this semigroup to obtain two-point AG codes with better parameters than comparable one-point AG codes arising from these curves. These parameters are new records in the MinT's tables.

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