An evaluation of the discrete logarithm cryptosystem

Abstract

In modern society, the unauthorized disclosure of digital information such as military files, business details, and personal data can gravely endanger the security and privacy rights of an individual or group. Such risks highlight the significance of cryptosystems sets of computational algorithms used for safe data transit. This paper specifically explores the algorithms of the discrete logarithm cryptosystem from a number theory perspective and investigates the cryptosystems overall strengths and weaknesses as a result of their designs. In the end, from various algorithms such as ElGamal encryption and decryption, it was concluded that the use of discrete logarithms and large primes significantly contributed to the advantages and disadvantages of the system, respectively.