Integration of a Conjugacy over Non-Commutative Ring in Digital Signature Mechanism
Jalaja Valisireddy, S Balakrishna, L. Narendra Mohan, Kotte Amaranadha Reddy, Devendra Jangiti, G G Rajasekhar · 2024
Digital signatures are typically dependent on complex mathematical operations like the integer factorization problem, conjugacy problem, and DLP. Nowadays, most of the algorithms are based on a combination of two hard mathematical problems. To enhance the security and provide equivalent security with single hard problem, a new scheme has been proposed. The proposed algorithm is developed by using a conjugacy problem, as the conjugacy structure is intractable on non-commutative rings. Initially, the digital signature algorithm is designed and then it is integrated with a confirmation theorem. Finally, the security analysis of the proposed algorithm is explained.