Results 41 to 50 of about 2,272,026 (278)
Digital Image Encryption Algorithm Based on Elliptic Curve Public Cryptosystem
IEEE Access, 2018 With the increasing use of media in communications, the content security of digital images attracts much attention in both the academia and the industry.
Xiaoqiang Zhang, X. Wang
semanticscholar +1 more source
A classification of isogeny‐torsion graphs of Q‐isogeny classes of elliptic curves
Transactions of the London Mathematical Society, 2021 Let E be a Q‐isogeny class of elliptic curves defined over Q. The isogeny graph associated to E is a graph which has a vertex for each elliptic curve in the Q‐isogeny class E, and an edge for each cyclic Q‐isogeny of prime degree between elliptic curves ...
Garen Chiloyan, Álvaro Lozano‐Robledo
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Request for Comments, 2018 This document describes key exchange algorithms based on Elliptic Curve Cryptography (ECC) for the Transport Layer Security (TLS) protocol. In particular, it specifies the use of Ephemeral Elliptic Curve Diffie-Hellman (ECDHE) key agreement in a TLS ...
Y. Nir +2 more
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FPGA Based High Speed SPA Resistant Elliptic Curve Scalar Multiplier Architecture
International Journal of Reconfigurable Computing, 2016 The higher computational complexity of an elliptic curve scalar point multiplication operation limits its implementation on general purpose processors.
Khalid Javeed, Xiaojun Wang
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A Novel Scheme of Image Encryption Based on Elliptic Curves Isomorphism and Substitution Boxes
IEEE Access, 2021 In this manuscript, we propose an image encryption technique by using isomorphic elliptic curves which are proved to be effective against side-channel attacks and have efficient key size as compared to other public-key structures.
Ijaz Khalid +4 more
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Mathematical Proceedings of the Cambridge Philosophical SocietyAbstract In the early 2000s, Ramakrishna asked the question: for the elliptic curve \[E\;:\; y^2 = x^3 - x,\] what is the density of primes p for which the Fourier coefficient $a_p(E)$ is a cube modulo p?
Koymans, Peter, Uttenthal, Peter Vang
openaire +4 more sources
Classification of Elliptic Cubic Curves Over The Finite Field of Order Nineteen
مجلة بغداد للعلوم, 2016 Plane cubics curves may be classified up to isomorphism or projective equivalence. In this paper, the inequivalent elliptic cubic curves which are non-singular plane cubic curves have been classified projectively over the finite field of order nineteen,
Baghdad Science Journal
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Local root numbers of elliptic curves over dyadic fields [PDF]
, 2015 We consider an elliptic curve over a dyadic field with additive, potentially good reduction. We study the finite Galois extension of the dyadic field generated by the three-torsion points of the elliptic curve.
Imai, Naoki
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A conditional determination of the average rank of elliptic curves [PDF]
, 2014 Under a hypothesis which is slightly stronger than the Riemann Hypothesis for elliptic curve $L$-functions, we show that both the average analytic rank and the average algebraic rank of elliptic curves in families of quadratic twists are exactly $\frac ...
Fiorilli, Daniel
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Journal of Telecommunications and Information TechnologyThis paper investigates how to reduce the elliptic curve discrete logarithm problem over prime fields to the quadratic unconstrained binary optimization (QUBO) problem in order to obtain as few logical qubits as possible. In the best case scenario, if n
Michał Wroński +3 more
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