Harnessing Mathematics for Secure Cryptographic Techniques

Abstract

Cryptographic techniques play a pivotal role in safeguarding sensitive information in today's digital age. Mathematics serves as the foundation of cryptographic algorithms, enabling the creation of secure methods for encoding and decoding data. This article delves into the diverse applications of mathematics in cryptographic techniques, illustrating how various mathematical concepts are utilized to ensure data privacy, integrity, and authenticity. From prime numbers and modular arithmetic to elliptic curves and discrete logarithms, this article sheds light on the essential mathematical principles that underpin modern cryptographic systems.