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

Yagisawa, Masahiro

Brossura

ISBN 10: 3659472336 ISBN 13: 9783659472336

Casa editrice: LAP LAMBERT Academic Publishing, 2015

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.

Dettagli dell'edizione

• Editore: LAP LAMBERT Academic Publishing
• Data di pubblicazione: 2015
• Lingua: Inglese
• ISBN 10: 3659472336
• ISBN 13: 9783659472336
• Rilegatura: Copertina flessibile
• Numero di pagine: 84
• Contatto del produttore: non disponibile
• Persona responsabile: KreGa Onlinehandel GmbH; 4950000000000; info@krega-onlinehandel.de; ; Birkenweg 31; Brakel; 33034; Germania