A Cryptographic Scheme Involving Baudhāyana Triplets, XOR Logic and Decomposition of a Matrix
Abstract
The objective of this paper is to develop an algorithm for the encryption and decryption of information using Baudhāyana triplets, XOR logic and LU decomposition-based key generation from a non-singular matrix. A detailed numerical example is provided to demonstrate correctness, reversibility, and feasibility. This work establishes a meaningful bridge between ancient Indian mathematical knowledge systems (IKS) and modern lightweight cryptography.
Fields of Study & Subjects
Cryptography and Residue Arithmetic
Cryptographic Implementations and Security
Chaos-based Image/Signal Encryption
Publication details
- Journal / source
- INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER RESEARCH
- Volume
- 14
- Issue
- 03
- Publication date
- 6 March 2026
- Language
- EN