2026-04-23T00:19:52Zhttps://uvadoc.uva.es/oai/request

oai:uvadoc.uva.es:10324/255572021-06-23T11:39:07Zcom_10324_1176com_10324_931com_10324_894col_10324_1359

Farrán Martín, José Ignacio García Sánchez, Pedro A. Heredia, Benjamín A. Leamer, Micah J. 2017-09-12T21:34:42Z 2017-09-12T21:34:42Z 2017 Designs, Codes and Cryptography 0925-1022 http://uvadoc.uva.es/handle/10324/25557 In this manuscript we show that the second Feng-Rao number of any telescopic numerical semigroup agrees with the multiplicity of the semigroup. To achieve this result we rst study the behavior of Ap ery sets under gluings of nu- merical semigroups. These results provide a bound for the second Hamming weight of one-point Algebraic Geometry codes, which improves upon other estimates such as the Griesmer Order Bound. eng info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by-nc-nd/4.0/ Attribution-NonCommercial-NoDerivatives 4.0 International The second Feng-Rao number for codes coming from telescopic semigroups info:eu-repo/semantics/article