Improving a Compact Cipher Based on Non Commutative Rings of Quaternion

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...

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Autor principal: Kamlofsky, Jorge
Formato: Objeto de conferencia
Lenguaje:Español
Publicado: 2016
Materias:
Ciencias Informáticas
criptografía
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/56376
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SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-56376
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Español
topic Ciencias Informáticas
criptografía
spellingShingle Ciencias Informáticas
criptografía
Kamlofsky, Jorge
Improving a Compact Cipher Based on Non Commutative Rings of Quaternion
topic_facet Ciencias Informáticas
criptografía
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.
format Objeto de conferencia
Objeto de conferencia
author Kamlofsky, Jorge
author_facet Kamlofsky, Jorge
author_sort Kamlofsky, Jorge
title Improving a Compact Cipher Based on Non Commutative Rings of Quaternion
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
publishDate 2016
url http://sedici.unlp.edu.ar/handle/10915/56376
work_keys_str_mv AT kamlofskyjorge improvingacompactcipherbasedonnoncommutativeringsofquaternion
bdutipo_str Repositorios
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