Improved cryptanalysis of a ElGamal Cryptosystem Based on Matrices Over Group Rings

Abstract

ElGamal cryptosystem has emerged as one of the most important construction in Public Key Cryptography (PKC) since Diffie-Hellman key exchange protocol was proposed. However, public key schemes which are based on number theoretic problems such as discrete logarithm problem (DLP) are at risk because of the evolution of quantum computers. As a result, other non-number theoretic alternatives are a dire need of entire cryptographic community.

Keywords

• group ring decomposition
• elgamal cryptosystem
• circulant matrices
• 94a60