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Skew differential Goppa codes and their application to Mceliece cryptosystem

dc.contributor.authorGómez Torrecillas, José 
dc.contributor.authorLobillo Borrero, Francisco Javier 
dc.contributor.authorNavarro Garulo, Gabriel 
dc.date.accessioned2023-09-25T12:33:29Z
dc.date.available2023-09-25T12:33:29Z
dc.date.issued2023-08-19
dc.identifier.citationGómez-Torrecillas, J., Lobillo, F. . & Navarro, G. Skew differential Goppa codes and their application to Mceliece cryptosystem. Des. Codes Cryptogr. (2023). [https://doi.org/10.1007/s10623-023-01286-6]es_ES
dc.identifier.urihttps://hdl.handle.net/10481/84648
dc.descriptionResearch funded by grant (PID2019-110525GB-I00 / AEI / 10.13039/501100011033) and by the IMAG-Maria de Maeztu grant (CEX2020-001105-M / AEI / 10.13039/501100011033).es_ES
dc.description.abstractA class of linear codes that extends classical Goppa codes to a non-commutative context is defined. An efficient decoding algorithm, based on the solution of a non-commutative key equation, is designed. We show how the parameters of these codes, when the alphabet is a finite field, may be adjusted to propose a McEliece-type cryptosystem.es_ES
dc.description.sponsorshipIMAG-Maria de Maeztu grant PID2019-110525GB-I00 / AEI / 10.13039/501100011033es_ES
dc.description.sponsorshipCEX2020-001105-M / AEI / 10.13039/501100011033es_ES
dc.description.sponsorshipUniversidad de Granada/CBUAes_ES
dc.language.isoenges_ES
dc.publisherSpringer Naturees_ES
dc.rightsAtribución 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/*
dc.subjectSkew-differential Goppa codees_ES
dc.subjectDecoding algorithmes_ES
dc.subjectMcEliece-type cryptosystemes_ES
dc.titleSkew differential Goppa codes and their application to Mceliece cryptosystemes_ES
dc.typejournal articlees_ES
dc.rights.accessRightsopen accesses_ES
dc.identifier.doi10.1007/s10623-023-01286-6
dc.type.hasVersionVoRes_ES


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