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Goppa codes over the p-adic integers and integers modulo pe

dc.contributor.authorEpelde García, Markel
dc.date.accessioned2024-05-22T17:00:44Z
dc.date.available2024-05-22T17:00:44Z
dc.date.issued2022-12
dc.identifier.citationFinite Fields and Their Applications 84 : (2022) // Article ID 102097es_ES
dc.identifier.issn1071-5797
dc.identifier.issn1090-2465
dc.identifier.urihttp://hdl.handle.net/10810/68109
dc.description.abstractGoppa codes were defined by Valery D. Goppa in 1970. In 1978, Robert J. McEliece used this family of error-correcting codes in his cryptosystem, which has gained popularity in the last decade due to its resistance to attacks from quantum computers. In this paper, we present Goppa codes over the p-adic integers and integers modulo . This allows the creation of chains of Goppa codes over different rings. We show some of their properties, such as parity-check matrices and minimum distance, and suggest their cryptographic application, following McEliece's scheme.es_ES
dc.language.isoenges_ES
dc.publisherElsevieres_ES
dc.rightsinfo:eu-repo/semantics/openAccesses_ES
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/*
dc.subjectalgebraic codeses_ES
dc.subjectGoppa codeses_ES
dc.subjectMcEliece cryptosystemes_ES
dc.titleGoppa codes over the p-adic integers and integers modulo pees_ES
dc.typeinfo:eu-repo/semantics/articlees_ES
dc.rights.holder© 2022 The Author. Published by Elsevier Inc. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).es_ES
dc.rights.holderAtribución-NoComercial-SinDerivadas 3.0 España*
dc.relation.publisherversionhttps://www.sciencedirect.com/science/article/pii/S107157972200106Xes_ES
dc.identifier.doi10.1016/j.ffa.2022.102097
dc.departamentoesMétodos Cuantitativoses_ES
dc.departamentoeuMetodo Kuantitatiboakes_ES


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© 2022 The Author. Published by Elsevier Inc. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).
Except where otherwise noted, this item's license is described as © 2022 The Author. Published by Elsevier Inc. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).