Diffie-Hellman Protocol with a Combination of Hyperelliptic Curves and Neural Synchronization

ABSTRACT: This work proposes a new cryptosystem, combining a Diffie-Hellman protocol in which hyperelliptic curves over GF(2n) are implemented, with a Tree Parity Machine (TPM) synchronization. Security proposed for this cryptosystem is focused on overcoming a weakness of neuronal synchronization. S...

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Autores principales:	Araya Villanueva,Angelo, Jiron Araya,Ivan, Soto Gomez,Ismael
Lenguaje:	English
Publicado:	Universidad de Tarapacá. 2018
Materias:	Cryptography Hyperelliptic Curves Neural Synchronization
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0718-33052018000500006
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spelling	oai:scielo:S0718-330520180005000062018-12-10Diffie-Hellman Protocol with a Combination of Hyperelliptic Curves and Neural SynchronizationAraya Villanueva,AngeloJiron Araya,IvanSoto Gomez,Ismael Cryptography Hyperelliptic Curves Neural Synchronization ABSTRACT: This work proposes a new cryptosystem, combining a Diffie-Hellman protocol in which hyperelliptic curves over GF(2n) are implemented, with a Tree Parity Machine (TPM) synchronization. Security proposed for this cryptosystem is focused on overcoming a weakness of neuronal synchronization. Specifically, the stimulus vector that is public, which allows an attacker to try to synchronize with one of the participants of the synchronization. Focusing on this weakness, there are the following attacks: genetic attack, geometric attack and probabilistic attack. In the proposed cryptosystem, the initial stimulus vector will be hidden, because this vector is obtained as the common secret key in the Diffie-Hellman protocol. Then in each iteration, the stimulus vectors will be kept secret. This condition causes the learning time tlear to increase by a term of approximately 115% regarding the synchronization time tsync on average when the proposed cryptosystem is compared to the classic TPM synchronization.info:eu-repo/semantics/openAccessUniversidad de Tarapacá.Ingeniare. Revista chilena de ingeniería v.26 suppl.1 20182018-11-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0718-33052018000500006en10.4067/S0718-33052018000500006
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Cryptography Hyperelliptic Curves Neural Synchronization
spellingShingle	Cryptography Hyperelliptic Curves Neural Synchronization Araya Villanueva,Angelo Jiron Araya,Ivan Soto Gomez,Ismael Diffie-Hellman Protocol with a Combination of Hyperelliptic Curves and Neural Synchronization
description	ABSTRACT: This work proposes a new cryptosystem, combining a Diffie-Hellman protocol in which hyperelliptic curves over GF(2n) are implemented, with a Tree Parity Machine (TPM) synchronization. Security proposed for this cryptosystem is focused on overcoming a weakness of neuronal synchronization. Specifically, the stimulus vector that is public, which allows an attacker to try to synchronize with one of the participants of the synchronization. Focusing on this weakness, there are the following attacks: genetic attack, geometric attack and probabilistic attack. In the proposed cryptosystem, the initial stimulus vector will be hidden, because this vector is obtained as the common secret key in the Diffie-Hellman protocol. Then in each iteration, the stimulus vectors will be kept secret. This condition causes the learning time tlear to increase by a term of approximately 115% regarding the synchronization time tsync on average when the proposed cryptosystem is compared to the classic TPM synchronization.
author	Araya Villanueva,Angelo Jiron Araya,Ivan Soto Gomez,Ismael
author_facet	Araya Villanueva,Angelo Jiron Araya,Ivan Soto Gomez,Ismael
author_sort	Araya Villanueva,Angelo
title	Diffie-Hellman Protocol with a Combination of Hyperelliptic Curves and Neural Synchronization
title_short	Diffie-Hellman Protocol with a Combination of Hyperelliptic Curves and Neural Synchronization
title_full	Diffie-Hellman Protocol with a Combination of Hyperelliptic Curves and Neural Synchronization
title_fullStr	Diffie-Hellman Protocol with a Combination of Hyperelliptic Curves and Neural Synchronization
title_full_unstemmed	Diffie-Hellman Protocol with a Combination of Hyperelliptic Curves and Neural Synchronization
title_sort	diffie-hellman protocol with a combination of hyperelliptic curves and neural synchronization
publisher	Universidad de Tarapacá.
publishDate	2018
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0718-33052018000500006
work_keys_str_mv	AT arayavillanuevaangelo diffiehellmanprotocolwithacombinationofhyperellipticcurvesandneuralsynchronization AT jironarayaivan diffiehellmanprotocolwithacombinationofhyperellipticcurvesandneuralsynchronization AT sotogomezismael diffiehellmanprotocolwithacombinationofhyperellipticcurvesandneuralsynchronization
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Diffie-Hellman Protocol with a Combination of Hyperelliptic Curves and Neural Synchronization

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