Computer algebra tales on Goppa codes and McEliece cryptography

The 40-year old McEliece public-key crypto-system is revisited with the help of recently developed resources: an improved Peterson–Gorenstein–Zierler decoder for alternant error-correcting codes; PYECC, a purely Python CAS; a package of PYECC functional utilities for the computations involved in def...

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Detalles Bibliográficos
Autores: Sayols Baixeras, Narcís|||0000-0003-2170-4923, Xambó Descamps, Sebastián|||0000-0001-5056-9818
Tipo de recurso: artículo
Fecha de publicación:2020
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/342123
Acceso en línea:https://hdl.handle.net/2117/342123
https://dx.doi.org/10.1007/s11786-019-00444-1
Access Level:acceso abierto
Palabra clave:Ciphers
Cryptography
Goppa codes
Symbolic computation
Error-correcting codes
Post-quantum cryptography
Xifres i claus
Criptografia
Àrees temàtiques de la UPC::Informàtica::Seguretat informàtica::Criptografia
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spelling Computer algebra tales on Goppa codes and McEliece cryptographySayols Baixeras, Narcís|||0000-0003-2170-4923Xambó Descamps, Sebastián|||0000-0001-5056-9818CiphersCryptographyGoppa codesSymbolic computationError-correcting codesPost-quantum cryptographyXifres i clausCriptografiaÀrees temàtiques de la UPC::Informàtica::Seguretat informàtica::CriptografiaThe 40-year old McEliece public-key crypto-system is revisited with the help of recently developed resources: an improved Peterson–Gorenstein–Zierler decoder for alternant error-correcting codes; PYECC, a purely Python CAS; a package of PYECC functional utilities for the computations involved in defining, coding and decoding error-correcting codes; and a Web page with free-access to companion materials. The last two tales trace the evolution of the McEliece systems and provide an account about their current security levels.Peer Reviewed20202020-06-0120212021-03-22journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/342123https://dx.doi.org/10.1007/s11786-019-00444-1reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/3421232026-05-27T15:37:01Z
dc.title.none.fl_str_mv Computer algebra tales on Goppa codes and McEliece cryptography
title Computer algebra tales on Goppa codes and McEliece cryptography
spellingShingle Computer algebra tales on Goppa codes and McEliece cryptography
Sayols Baixeras, Narcís|||0000-0003-2170-4923
Ciphers
Cryptography
Goppa codes
Symbolic computation
Error-correcting codes
Post-quantum cryptography
Xifres i claus
Criptografia
Àrees temàtiques de la UPC::Informàtica::Seguretat informàtica::Criptografia
title_short Computer algebra tales on Goppa codes and McEliece cryptography
title_full Computer algebra tales on Goppa codes and McEliece cryptography
title_fullStr Computer algebra tales on Goppa codes and McEliece cryptography
title_full_unstemmed Computer algebra tales on Goppa codes and McEliece cryptography
title_sort Computer algebra tales on Goppa codes and McEliece cryptography
dc.creator.none.fl_str_mv Sayols Baixeras, Narcís|||0000-0003-2170-4923
Xambó Descamps, Sebastián|||0000-0001-5056-9818
author Sayols Baixeras, Narcís|||0000-0003-2170-4923
author_facet Sayols Baixeras, Narcís|||0000-0003-2170-4923
Xambó Descamps, Sebastián|||0000-0001-5056-9818
author_role author
author2 Xambó Descamps, Sebastián|||0000-0001-5056-9818
author2_role author
dc.subject.none.fl_str_mv Ciphers
Cryptography
Goppa codes
Symbolic computation
Error-correcting codes
Post-quantum cryptography
Xifres i claus
Criptografia
Àrees temàtiques de la UPC::Informàtica::Seguretat informàtica::Criptografia
topic Ciphers
Cryptography
Goppa codes
Symbolic computation
Error-correcting codes
Post-quantum cryptography
Xifres i claus
Criptografia
Àrees temàtiques de la UPC::Informàtica::Seguretat informàtica::Criptografia
description The 40-year old McEliece public-key crypto-system is revisited with the help of recently developed resources: an improved Peterson–Gorenstein–Zierler decoder for alternant error-correcting codes; PYECC, a purely Python CAS; a package of PYECC functional utilities for the computations involved in defining, coding and decoding error-correcting codes; and a Web page with free-access to companion materials. The last two tales trace the evolution of the McEliece systems and provide an account about their current security levels.
publishDate 2020
dc.date.none.fl_str_mv 2020
2020-06-01
2021
2021-03-22
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/2117/342123
https://dx.doi.org/10.1007/s11786-019-00444-1
url https://hdl.handle.net/2117/342123
https://dx.doi.org/10.1007/s11786-019-00444-1
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:UPCommons. Portal del coneixement obert de la UPC
instname:Universitat Politècnica de Catalunya (UPC)
instname_str Universitat Politècnica de Catalunya (UPC)
reponame_str UPCommons. Portal del coneixement obert de la UPC
collection UPCommons. Portal del coneixement obert de la UPC
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,301603

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