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Fully Homomorphic Public-Key Encryption with Three Ciphertexts

Fully homomorphic public-key encryption with composite modulus based on discrete logarithm problem

Language EnglishEnglish
Book Paperback
Book Fully Homomorphic Public-Key Encryption with Three Ciphertexts Masahiro Yagisawa
Libristo code: 15875383
Publishers LAP Lambert Academic Publishing, November 2016
Fully homomorphic encryption is the cryptosystem which supports both addition and multiplication. Th... Full description
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Fully homomorphic encryption 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.In this book I propose the fully homomorphic public-key encryption (FHPKE) with composite number modulus based on the discrete logarithm assumption (DLA) and computational Diffie-Hellman assumption (CDH) of multivariate polynomials on octonion ring over the finite ring Z/rZ. The scheme has three ciphertexts corresponding to one plaintext and is immune from "m and - m attack". 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.

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About the book

Full name Fully Homomorphic Public-Key Encryption with Three Ciphertexts
Author Masahiro Yagisawa
Language English
Binding Book - Paperback
Date of issue 2017
Number of pages 100
EAN 9783330046535
Libristo code 15875383
Publishers LAP Lambert Academic Publishing
Weight 167
Dimensions 150 x 220 x 6
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