Abstract

In this paper, we study the possibility of using a certain cloud computing model supplied with cryptoservers to obfuscate software programs. Earlier, we proposed this cloud computing model in our study of some information security problems for multi-client distributed computing over encrypted data. Based on this model, we proposed a new approach involving the use of threshold homomorphic cryptosystems for program obfuscation. The main result of this paper is a new definition of the resistance of obfuscation of programs in the cloud computing model and a theorem proving the cryptographic strength of the proposed algorithm of obfuscation of programs under the assumption of the existence of cryptographically strong threshold homomorphic encryption systems. The paper is organized as follows. In the introducing section we discuss the main aspects of the information security problems for cloud computing systems. Section 2 provides a description of the obfuscation program objectives, as well as a brief overview of the main achievements in its study. The next section provides general information about homomorphic cryptosystems. Section 4 describes a more special class of homomorphic cryptosystems - threshold homomorphic encryption systems. Section 5 introduces the cloud computing model, which is used as a framework for our program obfuscation techniques. For this computing environment, in Section 6, the definition of the cryptographic strength of program obfuscation is formulated, a new method of program obfuscation using threshold homomorphic cryptosystems is described, and the cryptographic strength of the proposed obfuscation algorithm is proved.

中文翻译：

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关于某些云计算模型中安全程序混淆的可能性

摘要

在本文中，我们研究了使用加密服务器随附的某种云计算模型混淆软件程序的可能性。早些时候，我们在研究针对加密数据的多客户端分布式计算的一些信息安全问题时提出了这种云计算模型。基于此模型，我们提出了一种新的方法，其中涉及使用阈值同态密码系统进行程序混淆。本文的主要结果是在云计算模型中对程序混淆的新定义，以及一个定理，证明了在存在密码学强阈值同态加密系统的情况下所提出的程序混淆算法的加密强度。 。本文的结构如下。在引言部分，我们讨论了云计算系统的信息安全问题的主要方面。第2节介绍了混淆项目的目标，并简要概述了其研究的主要成果。下一节提供有关同态密码系统的一般信息。第4节介绍了一种更特殊的同态密码系统类-阈值同态加密系统。第5节介绍了云计算模型，该模型用作我们的程序混淆技术的框架。针对该计算环境，在第6节中，对程序混淆的加密强度进行了定义，描述了一种使用阈值同态密码系统的程序混淆的新方法，