Results 1 to 10 of about 559 (211)
Application of Partial Discrete Logarithms for Discrete Logarithm Computation
ComputersA novel approach to constructing an algorithm for computing discrete logarithms, which holds significant interest for advancing cryptographic methods and the applied use of multivalued logic, is proposed.
Dina Shaltykova +3 more
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Logarithm of the Discrete Fourier Transform
International Journal of Mathematics and Mathematical Sciences, 2007 The discrete Fourier transform defines a unitary matrix operator. The logarithm of this operator is computed, along with the projection maps onto its eigenspaces. A geometric interpretation of the discrete Fourier transform is also given.
Michael Aristidou, Jason Hanson
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Discrete logarithm problem in matrix
Lietuvos Matematikos Rinkinys, 2023 In this paper the discrete logarithm problem in matrix in finite fields is formulated, possible ways of solution are given.
Povilas Tvarijonas +2 more
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A new method for solving the elliptic curve discrete logarithm problem [PDF]
Groups, Complexity, Cryptology, 2021 The elliptic curve discrete logarithm problem is considered a secure cryptographic primitive. The purpose of this paper is to propose a paradigm shift in attacking the elliptic curve discrete logarithm problem.
Ansari Abdullah +2 more
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Mapping the discrete logarithm [PDF]
Involve, a Journal of Mathematics, 2010 The discrete logarithm is a problem that surfaces frequently in the field of cryptography as a result of using the transformation g^a mod n. This paper focuses on a prime modulus, p, for which it is shown that the basic structure of the functional graph is largely dependent on an interaction between g and p-1.
Holden, Joshua, Cloutier, D.
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Computing discrete logarithm by interval-valued paradigm [PDF]
Electronic Proceedings in Theoretical Computer Science, 2014 Interval-valued computing is a relatively new computing paradigm. It uses finitely many interval segments over the unit interval in a computation as data structure.
Benedek Nagy, Sándor Vályi
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Computing discrete logarithms in an interval [PDF]
Mathematics of Computation, 2012 The discrete logarithm problem in an interval of size N N in a group
Steven D. Galbraith +2 more
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The review on elliptic curves as cryptographic pairing groups [PDF]
Mathematics and Computational Sciences, 2021 Elliptic curve is a set of two variable points on polynomials of degree 3 over a field acted by an addition operation that forms a group structure. The motivation of this study is the mathematics behind that elliptic curve to the applicability within a ...
E Khamseh
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Variational Quantum Algorithm for Solving Discrete Logarithms [PDF]
Jisuanji kexueThe discrete logarithm problem is a significant challenge in number theory,and due to the difficulty of solving it,classical computers lack efficient algorithms for this task.As a result,the discrete logarithm problem is widely used in public key ...
ZHANG Xinglan, RONG Xiaojun
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IEEE Transactions on Quantum Engineering, 2023 Presents corrections to the article “The Present and Future of Discrete Logarithm Problems on Noisy Quantum Computers”.
Yoshinori Aono +6 more
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