Department of Mathematics University of Peradeniya , Peradeniya, 20400, Sri Lanka
Rajitha Ranasinghe, Vikum Bandara
In this paper: The Collatz conjecture, introduced by Lothar Collatz in 1937, a longstanding unsolved problem, centers on a simple yet a puzzling question: Does repeatedly applying a specific rule to any positive int...
Rajitha Ranasinghe, Pabasara Athukorala, Pramodya Athurugiriya
In this paper: The ElGamal cryptosystem stands as one of the foremost public key encryption methods and represents a probabilistic algorithm, originating from the framework of the Diffie-Hellman key exchange protoco...
Rajitha Ranasinghe, Madusha Chathurangi, Pabasara Athukorala
In this paper: In this study, we propose a new cryptographic scheme based on the textbook RSA algorithm associating the concept of continued fractions. The algorithm is designed under the three primary steps of key...
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