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An efficient FHE proposal based on the hardness of solving systems of nonlinear multivariate equations (II)
public-key cryptography
2014/3/6
We propose a general framework to develop fully homomorphic encryption schemes (FHE) without using Gentry's technique. Initially, a private-key cryptosystem is built over $\mathbb{Z}_n$ ($n$ being an ...
An efficient FHE based on the hardness of solving systems of non-linear multivariate equations
FHE homomorphic cryptosystem
2014/3/13
We propose a general framework to develop fully homomorphic encryption schemes (FHE) without using the Gentry's technique. The security relies on the difficulty of solving systems of non-linear equati...
Key Agreement Protocols Using Multivariate Equations on Non-commutative Ring
key agreement protocol multivariate equations Grö bner bases NP complete problems non-commutative ring
2010/9/1
In this paper we propose two KAP(key agreement protocols) using multivariate equations. As the enciphering functions we select the multivariate functions of high degree on non-commutative ring H over ...