Blockchain et Théorie des Anneaux : Fondement aux transactions sécurisées et interopérables

Abstract

With the rise of blockchain technologies, digital transactions are becoming increasingly secure, transparent, and interoperable. To optimize the complex management of these transactions and ensure their integrity, essential mathematical concepts such as ring theory, homomorphic encryption, and ring signatures are indispensable. In this paper, we introduce a solution for the exchange of reward points on the blockchain, leveraging these tools to improve the efficiency, security, and interoperability of transactions. Through this practical case, we demonstrate how these concepts can be applied to preserve user privacy while ensuring secure exchanges in decentralized environments.