The Second Feng-Rao Number for Codes Coming From Inductive Semigroups
IEEE Transactions on Information Theory(2015)
摘要
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 semigroups are inductive. In addition, some pr...
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关键词
Poles and towers,Conductors,Hamming weight,Error correction codes,Arrays,Erbium,Generators
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