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

The second Feng-Rao number for codes coming from telescopic semigroups Farrán Martín, José Ignacio García Sánchez, Pedro A. Heredia, Benjamín A. Leamer, Micah J. 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. 2017-09-12T21:34:42Z 2017-09-12T21:34:42Z 2017 info:eu-repo/semantics/article Designs, Codes and Cryptography 0925-1022 http://uvadoc.uva.es/handle/10324/25557 eng Attribution-NonCommercial-NoDerivatives 4.0 International info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by-nc-nd/4.0/ application/pdf https://uvadoc.uva.es/bitstream/10324/25557/6/AperySetsTelescopicGeneral-revised-svjour3.pdf.jpg Hispana TEXT http://creativecommons.org/licenses/by-nc-nd/4.0/ UVaDOC. Repositorio Documental de la Universidad de Valladolid http://uvadoc.uva.es/handle/10324/25557