A Factoring and Discrete Logarithm based Cryptosystem

TL;DR

This paper presents a novel public key cryptosystem that combines the hardness of cube root extraction modulo a composite and the discrete logarithm problem, aiming for enhanced security and efficiency.

Contribution

It introduces a new cryptosystem integrating two hard problems, with a simple key generation and efficient encryption based on cube roots and DLP.

Findings

The scheme is secure assuming the hardness of IFP and DLP.

Encryption and decryption are computationally efficient.

Breaking the scheme requires solving both IFP and DLP separately.

Abstract

This paper introduces a new public key cryptosystem based on two hard problems : the cube root extraction modulo a composite moduli (which is equivalent to the factorisation of the moduli) and the discrete logarithm problem. These two hard problems are combined during the key generation, encryption and decryption phases. By combining the IFP and the DLP we introduce a secure and efficient public key cryptosystem. To break the scheme, an adversary may solve the IFP and the DLP separately which is computationally infeasible. The key generation is a simple operation based on the discrete logarithm modulo a composite moduli. The encryption phase is based both on the cube root computation and the DLP. These operations are computationally efficient.