Cryptographic Algorithms

This book explores cryptographic techniques by integrating Elliptic and Jacobian Elliptic Curve Cryptography with Ancient Indian Mathematics, optimising security and computational efficiency. As digital security becomes vital, the rich mathematical heritage of ancient India offers profound insights into cryptography, bridging historical wisdom with cutting-edge security solutions.

Cryptographic Algorithms uses key frameworks such as algebra, analysis, and optimisation to enhance point operations like addition and doubling in cryptographic protocols. It explores trilinear pairing and cryptographic schemes over specialised rings, leveraging projective geometry and algebraic structures to enhance encryption and decryption methods. Covering foundational concepts, algorithms, and applications, the book highlights how ancient Indian insights can improve Elliptic Curve Cryptography, Jacobian Elliptic Curve Cryptography, and trilinear pairing.

Applications span secure vehicular communication using fog computing, blockchain-based authentication, and cloud security. This book is targeted at cryptographers, mathematicians, and computer scientists, and provides algorithmic innovations, security proofs, structured exercises, and real-world case studies.