What is Public Key Cryptosystem

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Chapter 8

Implementing Computational Intelligence Techniques for Security Systems Design

It is an encryption system that uses two keys such that one of them is public key and the other is private key and it is computationally infeasible compute the private key.

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Composite Discrete Logarithm Problem and a Reconstituted ElGamal Cryptosystem Based on the Problem: New ElGamal Cryptosystems With Some Special Sequences and Composite ElGamal Cryptosystem

Çağla Özyılmaz (Ondokuz Mayıs University, Turkey) and Ayşe Nallı (Karabuk University, Turkey)

Source Title: Implementing Computational Intelligence Techniques for Security Systems Design

DOI: 10.4018/978-1-7998-2418-3.ch008

Abstract

In this chapter, the authors have defined a new ElGamal cryptosystem by using the power Fibonacci sequence module m. Then they have defined a new sequence module m and the other ElGamal cryptosystem by using the new sequence. In addition, they have compared that the new ElGamal cryptosystems and ElGamal cryptosystem in terms of cryptography. Then the authors have defined the third ElGamal cryptosystem. They have, particularly, called the new system as composite ElGamal cryptosystem. The authors made an application of composite ElGamal cryptosystem. Finally, the authors have compared that composite ElGamal cryptosystem and ElGamal cryptosystem in terms of cryptography and they have obtained that composite ElGamal cryptosystem is more advantageous than ElGamal cryptosystem.

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