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Fully Homomorphic Encryption without bootstrapping

Fully Homomorphic Encryption without bootstrapping

Paperback

General Computers

ISBN10: 3659472336
ISBN13: 9783659472336
Publisher: Lap Lambert Academic Pub
Published: Mar 16 2015
Pages: 84
Weight: 0.30
Height: 0.20 Width: 6.00 Depth: 9.00
Language: English
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.

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General Computers