Improving a Compact Cipher Based on Non Commutative Rings of Quaternion

Autores
Kamlofsky, Jorge
Año de publicación
2016
Idioma
español castellano
Tipo de recurso
documento de conferencia
Estado
versión publicada
Descripción
Asymmetric cryptography is required to start encrypted communications. Most protocols are based on modular operations over integer's rings. Many are vulnerable to sub-exponential attacks or by using a quantum computer. Cryptography based on non-commutative algebra is a growing trend arising as a solid choice that strengthens these protocols. In particular, Hecht (2009) has presented a key exchange model based on the Diffie-Hellman protocol using matrices of order four with elements in Z256, that provides 128-bits keys also to devices with low computing power. Quaternions are four-component's vectors. These also form non-commutative rings structures, with compact notation and lower run-times in many comparable operations. Kamlofsky et al (2015) presented a model using quaternions with elements in Z256. To provide a 128-bit key is required 4 rounds of 32-bits. However, a gain of 42% was obtained. This paper presents an improvement of this cipher that reduces even more the run-times.
V Workshop de Seguridad Informática.
Red de Universidades con Carreras en Informática (RedUNCI)
Materia
Ciencias Informáticas
criptografía
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by-nc-sa/4.0/
Repositorio
SEDICI (UNLP)
Institución
Universidad Nacional de La Plata
OAI Identificador
oai:sedici.unlp.edu.ar:10915/56376
Acceder
id SEDICI_b91ea761979610a48b7b2d12e3287ad2
oai_identifier_str oai:sedici.unlp.edu.ar:10915/56376
network_acronym_str SEDICI
repository_id_str 1329
network_name_str SEDICI (UNLP)
spelling Improving a Compact Cipher Based on Non Commutative Rings of QuaternionKamlofsky, JorgeCiencias InformáticascriptografíaAsymmetric cryptography is required to start encrypted communications. Most protocols are based on modular operations over integer's rings. Many are vulnerable to sub-exponential attacks or by using a quantum computer. Cryptography based on non-commutative algebra is a growing trend arising as a solid choice that strengthens these protocols. In particular, Hecht (2009) has presented a key exchange model based on the Diffie-Hellman protocol using matrices of order four with elements in Z256, that provides 128-bits keys also to devices with low computing power. Quaternions are four-component's vectors. These also form non-commutative rings structures, with compact notation and lower run-times in many comparable operations. Kamlofsky et al (2015) presented a model using quaternions with elements in Z256. To provide a 128-bit key is required 4 rounds of 32-bits. However, a gain of 42% was obtained. This paper presents an improvement of this cipher that reduces even more the run-times.V Workshop de Seguridad Informática.Red de Universidades con Carreras en Informática (RedUNCI)2016-10info:eu-repo/semantics/conferenceObjectinfo:eu-repo/semantics/publishedVersionObjeto de conferenciahttp://purl.org/coar/resource_type/c_5794info:ar-repo/semantics/documentoDeConferenciaapplication/pdf1115-1124http://sedici.unlp.edu.ar/handle/10915/56376spainfo:eu-repo/semantics/reference/hdl/10915/55718info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-sa/4.0/Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-10-15T10:58:32Zoai:sedici.unlp.edu.ar:10915/56376Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-10-15 10:58:32.738SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv Improving a Compact Cipher Based on Non Commutative Rings of Quaternion
title Improving a Compact Cipher Based on Non Commutative Rings of Quaternion
spellingShingle Improving a Compact Cipher Based on Non Commutative Rings of Quaternion
Kamlofsky, Jorge
Ciencias Informáticas
criptografía
title_short Improving a Compact Cipher Based on Non Commutative Rings of Quaternion
title_full Improving a Compact Cipher Based on Non Commutative Rings of Quaternion
title_fullStr Improving a Compact Cipher Based on Non Commutative Rings of Quaternion
title_full_unstemmed Improving a Compact Cipher Based on Non Commutative Rings of Quaternion
title_sort Improving a Compact Cipher Based on Non Commutative Rings of Quaternion
dc.creator.none.fl_str_mv Kamlofsky, Jorge
author Kamlofsky, Jorge
author_facet Kamlofsky, Jorge
author_role author
dc.subject.none.fl_str_mv Ciencias Informáticas
criptografía
topic Ciencias Informáticas
criptografía
dc.description.none.fl_txt_mv Asymmetric cryptography is required to start encrypted communications. Most protocols are based on modular operations over integer's rings. Many are vulnerable to sub-exponential attacks or by using a quantum computer. Cryptography based on non-commutative algebra is a growing trend arising as a solid choice that strengthens these protocols. In particular, Hecht (2009) has presented a key exchange model based on the Diffie-Hellman protocol using matrices of order four with elements in Z256, that provides 128-bits keys also to devices with low computing power. Quaternions are four-component's vectors. These also form non-commutative rings structures, with compact notation and lower run-times in many comparable operations. Kamlofsky et al (2015) presented a model using quaternions with elements in Z256. To provide a 128-bit key is required 4 rounds of 32-bits. However, a gain of 42% was obtained. This paper presents an improvement of this cipher that reduces even more the run-times.
V Workshop de Seguridad Informática.
Red de Universidades con Carreras en Informática (RedUNCI)
description Asymmetric cryptography is required to start encrypted communications. Most protocols are based on modular operations over integer's rings. Many are vulnerable to sub-exponential attacks or by using a quantum computer. Cryptography based on non-commutative algebra is a growing trend arising as a solid choice that strengthens these protocols. In particular, Hecht (2009) has presented a key exchange model based on the Diffie-Hellman protocol using matrices of order four with elements in Z256, that provides 128-bits keys also to devices with low computing power. Quaternions are four-component's vectors. These also form non-commutative rings structures, with compact notation and lower run-times in many comparable operations. Kamlofsky et al (2015) presented a model using quaternions with elements in Z256. To provide a 128-bit key is required 4 rounds of 32-bits. However, a gain of 42% was obtained. This paper presents an improvement of this cipher that reduces even more the run-times.
publishDate 2016
dc.date.none.fl_str_mv 2016-10
dc.type.none.fl_str_mv info:eu-repo/semantics/conferenceObject
info:eu-repo/semantics/publishedVersion
Objeto de conferencia
http://purl.org/coar/resource_type/c_5794
info:ar-repo/semantics/documentoDeConferencia
format conferenceObject
status_str publishedVersion
dc.identifier.none.fl_str_mv http://sedici.unlp.edu.ar/handle/10915/56376
url http://sedici.unlp.edu.ar/handle/10915/56376
dc.language.none.fl_str_mv spa
language spa
dc.relation.none.fl_str_mv info:eu-repo/semantics/reference/hdl/10915/55718
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
dc.format.none.fl_str_mv application/pdf
1115-1124
dc.source.none.fl_str_mv reponame:SEDICI (UNLP)
instname:Universidad Nacional de La Plata
instacron:UNLP
reponame_str SEDICI (UNLP)
collection SEDICI (UNLP)
instname_str Universidad Nacional de La Plata
instacron_str UNLP
institution UNLP
repository.name.fl_str_mv SEDICI (UNLP) - Universidad Nacional de La Plata
repository.mail.fl_str_mv alira@sedici.unlp.edu.ar
_version_ 1846064032780386304
score 13.22299

Publicaciones similares