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

Yagisawa, Masahiro

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

Sinopsis

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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Reseña del editor

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.

Biografía del autor

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).

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Editorial
LAP LAMBERT Academic Publishing
Año de publicación
2015
Idioma
Inglés
ISBN 10 
3659773913
ISBN 13 
9783659773914
Encuadernación
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Número de páginas
80
Contacto del fabricante
no disponible
Persona responsable
no disponible

Otras ediciones populares con el mismo título

9783659472336: Fully Homomorphic Encryption without bootstrapping: Fully homomorphic encyption with multivariate polynomials on octonion ring

Edición Destacada

ISBN 10:  3659472336 ISBN 13:  9783659472336
Editorial: LAP Lambert Academic Publishing, 2015
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