The Second Feng-Rao Number for Codes Coming From Inductive Semigroups

Abstract

The second Feng-Rao number of every inductive numerical semigroup is explicitly computed. This number determines the asymptotical behavior of the order bound for the second Hamming weight of one-point algebraic geometry codes. In particular, this result is applied for the codes defined by asymptotically good towers of function fields whose Weierstrass… (More)
DOI: 10.1109/TIT.2015.2456879

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