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Homomorphic Encryption Based on Group Algebras and Goldwasser-Micali Scheme

机译：基于Group代数和Goldwasser-Micali方案的同态加密

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摘要

The possibility of outsourcing computation to the cloud offers businesses and individuals substantial cost-savings, flexibility, and availability of computable resources, but potentially sacrifices privacy. Homomorphic encryption can help address this problem by allowing the user to upload encrypted data to the cloud, on which the cloud can then operate without having the secret key. The cloud can return encrypted outputs of computations to the user without decrypting the data, thus providing data hosting and services without compromising privacy. First, we present a general framework introduced in [3] which extends a group homomorphic encryption scheme with respect to one operation towards a cryptosystem having homomorphic properties on both operations (i.e. addition and multiplication). Second, we describe the main contribution of this paper by showing how this framework can be applied to a well known homomorphic encryption scheme, Goldwasser-Micali, analyzing the proposed cryptosystem security and its possible applications.
机译：将计算到云端的可能性提供了业务和个人的大量成本节约，灵活性和可用性资源的可用性，但潜在的牺牲隐私。同性恋加密可以通过允许用户将加密数据上传到云的加密数据来帮助解决这个问题，然后在没有秘密密钥的情况下运行云。云可以在不解密数据的情况下将加密的计算输出返回给用户，从而在不影响隐私的情况下提供数据托管和服务。首先，我们提出了一种在[3]中引入的一般框架，其延伸了朝向在两个操作上具有同态性的密码系统的一个操作（即加法和乘法）的一个操作延伸了群体均匀加密方案。其次，我们通过展示该框架如何应用于众所周知的同态加密方案，Goldwasser-icici，分析所提出的密码系统安全性及其可能的应用程序来描述本文的主要贡献。

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