A Comprehensive Study On The Evolution Of Cryptographic Algorithms Using Principles Of Number Theory

Cryptography, which comes from the Greek word for "hidden writing," is a method of protecting information by rendering it unreadable through the application of mathematical procedures. The scientific study of cryptography began approximately one hundred years ago, but its development accelerated with the birth of the information age in the early 1900s. Therefore, cryptography is considered to be a relatively modern field of study. The field of cryptography has progressed from simple methods of information protection to sophisticated systems that make use of number theory to protect data for billions of people all over the world. Cryptography is built on mathematical principles such as modular arithmetic, the Euclidean algorithm, and Euler's totient function. These are the fundamental building blocks of cryptography. This article examines the development of cryptography, beginning with the first methods of information concealment, such as simple letter shifts, and on to the most recent algorithms, which are founded on advanced number theory. The study demonstrates how early cryptographic approaches paved the way for present encryption techniques by analyzing historical practices as well as practices that are now in use. Throughout the course of its development, cryptography has demonstrated its indispensable function in the protection of data in the modern digital age.