Applications of Vedic Mathematics to Cryptography

Abstract

In the past decade, Vedic mathematics has garnered attention for its ancient yet powerful techniques in arithmetic and algebra. Its application extends beyond traditional mathematics into fields like computer science and cryptography. This paper explores the utilization of Vedic mathematics principles in modern cryptographic systems. Vedic mathematics offers efficient algorithms for arithmetic operations, which are fundamental in cryptographic protocols. By leveraging these techniques, cryptographic algorithms can potentially achieve higher computational efficiency and enhanced security. This paper investigates the integration of Vedic mathematics concepts such as sutras and sub-sutras into various cryptographic primitives, including symmetric and asymmetric encryption, digital signatures, and hash functions. Furthermore, the paper discusses the implications of applying Vedic mathematics to cryptography, including potential benefits such as increased speed and reduced computational overhead, as well as challenges such as ensuring compatibility with existing cryptographic standards and addressing concerns regarding algorithmic transparency and security proofs. Through theoretical analysis and practical implementations, this paper aims to provide insights into the feasibility and effectiveness of incorporating Vedic mathematics principles into cryptographic systems. Additionally, it illuminates light on the broader implications of integrating ancient mathematical wisdom with modern cryptographic techniques, paving the way for innovative approaches in securing digital communication and data privacy.