Algebraic Structures and Applications: From Transformation Semigroups to Cryptography, Blockchain, and Computational Mathematics
Abstract
This research delves into the multifaceted applications of transformation semigroups, leveraging insights from algebraic cryptography, group theory, blockchain technology, and computational mathematics. Through a comprehensive exploration, we unveil novel cryptographic protocols, enhance blockchain consensus algorithms, develop efficient computational methods, and apply these algebraic structures to advance mathematical finance. The study unfolds a rich tapestry of interconnected ideas, providing a bridge between abstract algebra and real-world technological challenges
Keywords
Transformation semigroupsAlgebraic cryptographyGroup theoryBlockchain
technologyComputational mathematicsCryptographic protocolsConsensus algorithmsComputational methodsMathematical
References
Schein, B. M. (1969). Algebraic Theory of Semigroups. Academic Press. Holt, D., Pfitzmann, B. (2003). Group Theory and Cryptography. Springer. Narayanan, A., Bonneau, J., Felten, E., Miller, A., & Goldfeder, S. (2016). Blockchain Basics: A Non-Technical Introduction.arXiv preprint arXiv:1608.00771
More Articles from INTERNATIONAL JOURNAL OF COMPUTER SCIENCE AND MATHEMATICAL THEORY
Utilization of Multimedia Instructional Materials and Its Influence on Secondary School Students’ Academic Performance and Learning Interest in Benue South, Nigeria
Author: Gabriel Odeh Ankeli, PhD, Obekpa Daniel Akor
Enhanced Machine Learning-Based Intrusion Detection System for Zero-Day Attacks
Author: Ue-Bee, Kakuubari Promise, Sako, D.J.S, Nwiabu, N. D
A Dual-Output Deep Neural Network Model for Stock Risk and Potential-Loss Prediction in Organisational Finance
Author: Collins O. Odondiri, V. I. E. Anireh, O. E. Taylor