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Methods for using elliptic curves in cryptography [PDF]
E3S Web of ConferencesElliptic Curve Cryptography (ECC), a significant modern cryptography, is more secure and robust than most others due to its construction using an elliptic curve and the application of mathematical operations for encryption and key generation. Furthermore,
Obukhov Vadim +4 more
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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
semanticscholar +1 more source
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 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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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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Lam\'e polynomials, hyperelliptic reductions and Lam\'e band structure
, 2004 The band structure of the Lam\'e equation, viewed as a one-dimensional Schr\"odinger equation with a periodic potential, is studied. At integer values of the degree parameter l, the dispersion relation is reduced to the l=1 dispersion relation, and a ...
Arscott F.M +11 more
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Advanced Biology, EarlyView.Chromatin, which organizes DNA, changes its structure to adapt to stress like high oxygen levels (hyperoxia), which can damage cells. Researchers developed a technique to observe these changes and found variability in how different parts of chromatin remodel.
Lauren Monroe +4 more
wiley +1 more source
Advanced Engineering Materials, EarlyView.Laser surface texturing significantly improves the corrosion resistance and mechanical strength of 3D‐printed iron polylactic acid (Ir‐PLA) for marine applications. Optimal laser parameters reduce corrosion by 80% and enhance tensile strength by 25% and ductility by 15%.
Mohammad Rezayat +6 more
wiley +1 more source
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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Residual Stress States in Microstructurally Graded PBF–LB/M Austenitic Steel Components
Advanced Engineering Materials, EarlyView.This study examines microstructurally graded 316L rectangular tube profiles fabricated via PBF–LB/M using a dual‐laser system. A 1 kW top‐hat and a 400 W Gaussian laser create distinct grain sizes and crystallographic texture. Mechanical properties are linked to microstructural evolution driven by processing conditions.
Nico Möller +5 more
wiley +1 more source