Nonlinear Component of a Block Cipher over Mordell Elliptic Curve Using Linear Congruent Generator

Abstract

These privacy, security, and accessibility remain unchanged but have evolved to include additional criteria. Not only should data be encrypted while it is stored on a computer, but also when it is being transmitted to and from other machines. Cryptology refers to the study of techniques for securing communications against third parties (referred to as adversaries) . It is further divided into two sub fields called Cryp tography and Cryptanalysis. The former relates to the use and practice of the technolo gies needed to create secure communication protocols, while the latter pertains to the study of how to access encrypted information without gaining access to the key, which is equivalent to learning how to break cryptographic protocols. It is evident that neither area would exist without the other, and the interaction between the two is extremely vital. Historically, this subject was viewed exclusively through the lens of privacy, and the words 'cryptography' and 'encryption' were considered synonymous. The intended purpose of encryption was always to exchange keys between two parties who possess the same key (symmetric cryptography). With the development of computers, modern cryptology evolved in numerous directions, offering today a wide range of protocols, including public-key cryptography, authentication schemes, zero-knowledge methods of identification, and so on.