Results 61 to 70 of about 125,110 (329)
On 12-congruences of elliptic curves
International Journal of Number Theory, 2023 We construct infinite families of pairs of (geometrically non-isogenous) elliptic curves defined over [Formula: see text] with [Formula: see text]-torsion subgroups that are isomorphic as Galois modules. This extends previous work of Chen and Fisher where it is assumed that the underlying isomorphism of [Formula: see text]-torsion subgroups respects ...
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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
Average Analytic Ranks of Elliptic Curves over Number Fields
Forum of Mathematics, SigmaWe give a conditional bound for the average analytic rank of elliptic curves over an arbitrary number field. In particular, under the assumptions that all elliptic curves over a number field K are modular and have L-functions which satisfy the ...
Tristan Phillips
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Efficient arithmetic on subfield elliptic curves over small finite fields of odd characteristic
Journal of Mathematical Cryptology, 2010 In elliptic curve cryptosystems, scalar multiplications performed on the curves have much effect on the efficiency of the schemes, and many efficient methods have been proposed. In particular, recoding methods of the scalars play an important role in the
Hakuta Keisuke +2 more
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Application of mathematical optimization in elliptic curve arithmetic
Безопасность информационных технологий, 2017 Currently, a lot of standardized elliptic curve cryptographic algorithms are widely used. Due to the constantly increasing execution speed demands, implementation optimization problem become actual.
Alexander Igorevich Skripko +1 more
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Tate-Shafarevich groups of constant elliptic curves and isogeny volcanos [PDF]
, 2019 We describe the structure of Tate-Shafarevich groups of a constant elliptic curves over function fields by exploiting the volcano structure of isogeny graphs of elliptic curves over finite ...
Creutz, Brendan, Voloch, Jose Felipe
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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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Impacts of Device Geometry and Layout on Temperature Profile during Large‐Area Photonic Curing
Advanced Engineering Materials, EarlyView.The study investigates how gate geometry affects peak curing temperature during photonic curing of solution‐processed indium zinc oxide thin‐film transistors. Using 3D simulations and experimental validation, it reveals that larger gate areas and smaller aspect ratios increase curing temperature and thus improve transistor performance. Findings provide
Yasir Fatha Abed +3 more
wiley +1 more source
Heuristics on pairing-friendly elliptic curves
Journal of Mathematical Cryptology, 2012 We present a heuristic asymptotic formula as for the number of isogeny classes of pairing-friendly elliptic curves over prime fields with fixed embedding degree , with fixed discriminant, with rho-value bounded by a fixed such that , and with prime ...
Boxall John
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Realization of coprocessor which supports counting of discrete logarithm on elliptic curves with partial knowledge [PDF]
Biuletyn Wojskowej Akademii Technicznej, 2017 In this paper we analyse realization of a coprocessor which supports counting of discrete logarithm on elliptic curves over the field FG(p), where p is the large prime, in FPGA. Main idea of the realization is based on using modules which are able to add
Michał Kędzierski +2 more
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