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Skew differential Goppa codes and their application to Mceliece cryptosystem
dc.contributor.author | Gómez Torrecillas, José | |
dc.contributor.author | Lobillo Borrero, Francisco Javier | |
dc.contributor.author | Navarro Garulo, Gabriel | |
dc.date.accessioned | 2023-09-25T12:33:29Z | |
dc.date.available | 2023-09-25T12:33:29Z | |
dc.date.issued | 2023-08-19 | |
dc.identifier.citation | Gómez-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.uri | https://hdl.handle.net/10481/84648 | |
dc.description | Research 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.abstract | A 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.sponsorship | IMAG-Maria de Maeztu grant PID2019-110525GB-I00 / AEI / 10.13039/501100011033 | es_ES |
dc.description.sponsorship | CEX2020-001105-M / AEI / 10.13039/501100011033 | es_ES |
dc.description.sponsorship | Universidad de Granada/CBUA | es_ES |
dc.language.iso | eng | es_ES |
dc.publisher | Springer Nature | es_ES |
dc.rights | Atribución 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | * |
dc.subject | Skew-differential Goppa code | es_ES |
dc.subject | Decoding algorithm | es_ES |
dc.subject | McEliece-type cryptosystem | es_ES |
dc.title | Skew differential Goppa codes and their application to Mceliece cryptosystem | es_ES |
dc.type | journal article | es_ES |
dc.rights.accessRights | open access | es_ES |
dc.identifier.doi | 10.1007/s10623-023-01286-6 | |
dc.type.hasVersion | VoR | es_ES |