Fully Homomorphic Encryption on Octonion Ring: Fully homomorphic encryption with multivariate polynomials on non-associative ring - Couverture souple

Yagisawa, Masahiro

 
9783659773914: Fully Homomorphic Encryption on Octonion Ring: Fully homomorphic encryption with multivariate polynomials on non-associative ring
Couverture souple
ISBN 10 : 3659773913 ISBN 13 : 9783659773914
Editeur : LAP LAMBERT Academic Publishing, 2015

Synopsis

Gentry’s bootstrapping technique is still the only known method for obtaining fully homomorphic encryption. I propose a new fully homomorphic encryption scheme on non-associative octonion ring over finite field without bootstrapping technique. The security of the proposed fully homomorphic encryption scheme is based on computational difficulty to solve the multivariate algebraic equations of high degree while the almost all multivariate cryptosystems proposed until now are based on the quadratic equations avoiding the explosion of the coefficients. Because proposed fully homomorphic encryption scheme is based on multivariate algebraic equations with high degree or too many variables, it is against the Gröbner basis attack. The key size of this system and complexity for enciphering/ deciphering become to be small enough to handle.

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Présentation de l'éditeur

Gentry’s bootstrapping technique is still the only known method for obtaining fully homomorphic encryption. I propose a new fully homomorphic encryption scheme on non-associative octonion ring over finite field without bootstrapping technique. The security of the proposed fully homomorphic encryption scheme is based on computational difficulty to solve the multivariate algebraic equations of high degree while the almost all multivariate cryptosystems proposed until now are based on the quadratic equations avoiding the explosion of the coefficients. Because proposed fully homomorphic encryption scheme is based on multivariate algebraic equations with high degree or too many variables, it is against the Gröbner basis attack. The key size of this system and complexity for enciphering/ deciphering become to be small enough to handle.

Biographie de l'auteur

Masahiro Yagisawa received the B.E. and M.E. degrees from the University of Tokyo in 1974 and 1976. I am a member of IEICE (The Institute of Electronics, Information and Communication Engineers), IPSJ (Information Processing Society of Japan) and JSIAM (The Japan Society for Industrial and Applied Mathematics).

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
LAP LAMBERT Academic Publishing
Date d'édition
2015
Langue
anglais
ISBN 10 
3659773913
ISBN 13 
9783659773914
Reliure
Broché
Nombre de pages
80
Coordonnées du fabricant
non disponible
Personne responsable
KreGa Onlinehandel GmbH
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info@krega-onlinehandel.de

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Brakel
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Autres éditions populaires du même titre

9783659472336: Fully Homomorphic Encryption without bootstrapping

Edition présentée

ISBN 10 :  3659472336 ISBN 13 :  9783659472336
Editeur : LAP Lambert Academic Publishing, 2015
Couverture souple