Results 71 to 80 of about 134,362 (311)
Journal of Number Theory, 1993 AbstractThe number of isogeny classes of elliptic curves E/Qp, having potentially good reduction at p, and which are quotients of the jacobian J0(p2), is bounded by (p/4 + 4).
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COHERENT SYSTEMS ON ELLIPTIC CURVES [PDF]
International Journal of Mathematics, 2005 In this paper we consider coherent systems (E,V) on an elliptic curve which are α-stable with respect to some value of a parameter α. We show that the corresponding moduli spaces, if non-empty, are smooth and irreducible of the expected dimension. Moreover we give precise conditions for non-emptiness of the moduli spaces.
Herbert Lange, Peter E. Newstead
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Advanced Biology, EarlyView.The successful in situ polymerization of microtubules in giant polymer‐lipid hybrid vesicles is illustrated. The microtubules formed in the giant hybrid vesicles exhibit different morphologies including lumenal network formation and membrane association. Abstract Creating artificial cells with a dynamic cytoskeleton, akin to those in living cells, is a
Paula De Dios Andres +4 more
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On families of 9-congruent elliptic curves [PDF]
arXiv, 2015 We compute equations for the families of elliptic curves 9-congruent to a given elliptic curve. We use these to find infinitely many non-trivial pairs of 9-congruent elliptic curves over Q, i.e. pairs of non-isogenous elliptic curves over Q whose 9-torsion subgroups are isomorphic as Galois modules.
arxiv
Mathematische Annalen, 2018 In this paper we describe the category of motives for an elliptic curve in the sense of Voevodsky as a derived category of dg modules over a commutative differential graded algebra in the category of representations over some reductive group.
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Elasticity of Diametrically Compressed Microfabricated Woodpile Lattices
Advanced Engineering Materials, EarlyView.Modulus–porosity relationship is derived for woodpile lattices with struts under diametrical compression. The formula presented here that Young's modulus is proportional to the square of the volume fraction E˜ρ2$E \sim \left(\rho\right)^{2}$ is shown to be consistent with computations and laboratory experiments on 3D‐printed samples.
Faezeh Shalchy, Atul Bhaskar
wiley +1 more source
Protecting ECC Against Fault Attacks: The Ring Extension Method Revisited
Journal of Mathematical Cryptology, 2020 Due to its shorter key size, elliptic curve cryptography (ECC) is gaining more and more popularity. However, if not properly implemented, the resulting cryptosystems may be susceptible to fault attacks.
Joye Marc
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A Secure Multiple Elliptic Curves Digital Signature Algorithm for Blockchain [PDF]
arXiv, 2018 Most cryptocurrency systems or systems based on blockchain technology are currently using the elliptic curves digital signature algorithm (ECDSA) on the secp256k1 curve, which is susceptible to backdoors implemented by the curve creator (secp256k1). The paper proposes a multiple elliptic curves digi-tal signature algorithm (MECDSA), which allows not ...
arxiv
Advanced Engineering Materials, EarlyView.In this study, OpenPhase software is used to simulate low‐carbon bainitic steels. The lower holding temperature sample exhibits smaller and finer grains. Grain thickness measurements of bainitic ferrite from simulations align with the experimental observations at high temperature. Bainitic steels are extensively utilized across various sectors, such as
Dhanunjaya K. Nerella +7 more
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IET Wireless Sensor Systems, 2021 The fast growth in Internet‐of‐Things (IoT) applications has increased the number of end‐devices communicating over the Internet. As these resource‐constrained devices are connected over the Internet, they are exposed to various security and privacy ...
Vidya Rao, Prema K. V.
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