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

Masahiro Yagisawa

ISBN 10: 3659472336 / ISBN 13: 9783659472336

Editore: LAP Lambert Academic Publishing, 2015

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nach der Bestellung gedruckt Neuware - Printed after ordering - Fully homomorphic encryption(FHE) is the cryptosystem which supports both addition and multiplication. The existence of the cryptosystems which have efficiency and fully homomorphism would bring great practical implications in the outsourcing of private computations, for instance, in the context of cloud computing. But FHE scheme which runs fast for practical use is not proposed until now because the scheme requires huge complexity. This book, therefore, provides the new fully homomorphic encryption scheme without 'bootstrapping' which runs fast for practical use. The system runs on octonion ring over the finite field Fq. The security of this system is based on the computational difficulty to solve the multivariate algebraic equations. To break this cryptosystem it is thought that we probably need to solve the multivariate algebraic equations that is equal to solving the NP complete problem. Then it is thought that this system is immune from the attacks by the quantum computers. This book is written for graduate students to active researchers.

Codice articolo 9783659472336

Dati bibliografici

• Titolo: Fully Homomorphic Encryption without bootstrapping : Fully homomorphic encyption with multivariate polynomials on octonion ring
• Editore: LAP Lambert Academic Publishing
• Data di pubblicazione: 2015
• Lingua: Inglese
• ISBN 10: 3659472336
• ISBN 13: 9783659472336
• Rilegatura: Taschenbuch
• Condizione: Neu

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Riassunto

Fully homomorphic encryption(FHE) is the cryptosystem which supports both addition and multiplication. The existence of the cryptosystems which have efficiency and fully homomorphism would bring great practical implications in the outsourcing of private computations, for instance, in the context of cloud computing. But FHE scheme which runs fast for practical use is not proposed until now because the scheme requires huge complexity. This book, therefore, provides the new fully homomorphic encryption scheme without "bootstrapping" which runs fast for practical use. The system runs on octonion ring over the finite field Fq. The security of this system is based on the computational difficulty to solve the multivariate algebraic equations. To break this cryptosystem it is thought that we probably need to solve the multivariate algebraic equations that is equal to solving the NP complete problem. Then it is thought that this system is immune from the attacks by the quantum computers. This book is written for graduate students to active researchers.