Abstract
This paper is concerned with the design of an improved El-Gamal cryptosystem based on chaos synchronization. The El-Gamal cryptosystem is an asymmetric encryption algorithm that must use the public and private keys, respectively, in the encryption and decryption processes. However, in our design, the public key does not have to appear in the public channel. Therefore, this proposed improved El-Gamal cryptosystem becomes a symmetric-like encryption algorithm. First, a discrete sliding mode controller is proposed to ensure the synchronization of master and slave chaotic systems; next, a novel improved El-Gamal cryptosystem is presented. In the traditional El-Gamal cryptosystem, the public key is static and needs to be open which provides an opportunity to attack. However, in this improved design, due to the chaos synchronization, the public key becomes dynamic and does not appear in public channels. As a result, drawbacks of long cipher text and time-consuming calculation in the traditional El-Gamal cryptosystem are all removed. Finally, several performance tests and comparisons have shown the efficiency and security of the proposed algorithm.
Highlights
With the rapid progress being made in science and internet technologies, the security requirement for information confidentiality is continually increasing
The existant cryptographic systems are growing in number and diversity, and many reports have proposed improved encryption algorithms
In this paper, we will discuss the problems encountered in existing cryptosystems, and design an improved El-Gamal cryptosystem based on chaotic synchronization in order to solve these problems
Summary
With the rapid progress being made in science and internet technologies, the security requirement for information confidentiality is continually increasing Against this backdrop, many theories, including chaos theory [1], have been used to address such information security issues. Many theories, including chaos theory [1], have been used to address such information security issues Chaos properties, such as broadband noise-like waveform, which depend sensitively on the system’s precise initial conditions (Butterfly effect) have been generally studied and these properties offer some advantages for solving and enhancing information security issues [2,3,4,5]. In this paper, we will discuss the problems encountered in existing cryptosystems, and design an improved El-Gamal cryptosystem based on chaotic synchronization in order to solve these problems
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