3 results for “Pollard’s Rho”

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Research ArticleOpen accessEvery word in the titleNew Collisions to Improve Pollard's Rho Method of Solving the Discrete Logarithm Problem on Elliptic CurvesAmmar Ali NeamahIt is true that different approaches have been utilised to accelerate the computation of discrete logarithm problem on elliptic curves with Pollard's Rho method. However, trapping in cycles fruitless will be obtained by using the random walks with Pollard's Rho. An efficient alternative approach that is based on new collisions which are reliant on the values ai, bi to solve … …Journal of Computer Science, Vol. 11, Issue 9 · 16 Dec 2015 · 7,340 accessesView PDF Cite

Research ArticleOpen accessEvery word in the titleA VARIANT OF POLLARD'S RHO ATTACK ON ELLIPTIC CURVE CRYPTOSYSTEMSSiham Ezzouak, Mohammed Elamrani, Abdelmalek AziziElliptic Curve cryptosystems appear to be more secure and efficient when requiring small key size to implement than other public key cryptosystems. Its security is based upon the difficulty of solving Elliptic Curve Discrete Logarithm Problem (ECDLP). This study proposes a variant of generic algorithm Pollard's Rho for finding ECDLP using cycle detection with stack and a mixture of cycle … …Journal of Computer Science, Vol. 10, Issue 8 · 9 Apr 2014 · 7,269 accessesView PDF Cite

Review ArticleOpen accessIn the abstractA Comprehensive Review of Post-Quantum Cryptography AlgorithmsSamandeep Kaur, Jaswinder SinghThe development of quantum computing has been rapid, and an existential threat to computational hardness assumptions that underlie today's public-key cryptography has been encountered. This manuscript is a complete and thoroughly organized review of Post-Quantum Cryptography (PQC), discussing the mathematical concepts, complexity, and mechanisms of the algorithms that underpin quantum-safe security infrastructures. Rather than the principles of quantum mechanics, the … …Journal of Computer Science, Vol. 22, Issue 9 · 25 Sep 2026 · 723 accessesView PDF Cite