期刊名称：International Journal of Security and Its Applications
印刷版ISSN：1738-9976
出版年度：2015
卷号：9
期号：2
页码：189-202
DOI：10.14257/ijsia.2015.9.2.18
出版社：SERSC
摘要：In 1984, Shamir [1] introduced the concept of an identity-based cryptosystem. In this system, each user needs to visit a public key generation (PKG) and identify himself before joining a communication network. Once a user is accepted, the PKG will provide him with a secret key. In this way, if a user wants to communicate with others, he only needs to know the "identity" of his communication partner and the public key of the PKG. There is no public file required in this system. However, Shamir did not succeed in constructing an identity based cryptosystem, but only in constructing an identity-based signature scheme. Meshram and Meshram [5] have proposed an identity-based beta cryptosystem, security under the generalized discrete logarithm problem with distinct discrete exponents in the multiplicative group of finite fields and integer factorization problem. In this paper, we propose some modification in identity-based beta cryptosystem based on generalized discrete logarithm problem with distinct discrete exponents in the multiplicative group of finite fields and integer factorization problem and we consider the security against a conspiracy of some entities in the proposed system and show the possibility of establishing a more secure system.
关键词：Public key Cryptosystem; Identity based Cryptosystem; Discrete Logarithm ; Problem (DLP); Generalized Discrete Logarithm Problem (GDLP); Beta Cryptosystem ; and Integer Factorization Problem (IFP)
