Results 1 to 10 of about 161 (55)
On Types of Elliptic Pseudoprimes [PDF]
Groups, Complexity, Cryptology, 2021 We generalize the notions of elliptic pseudoprimes and elliptic Carmichael numbers introduced by Silverman to analogues of Euler-Jacobi and strong pseudoprimes.
L. Babinkostova +2 more
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Orienting supersingular isogeny graphs
Journal of Mathematical Cryptology, 2020 We introduce a category of đ-oriented supersingular elliptic curves and derive properties of the associated oriented and nonoriented â-isogeny supersingular isogeny graphs.
Colò Leonardo, Kohel David
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Some Results on a Generalized Version of Congruent Numbers
InPrime, 2021 This paper aims to construct a new formula that generates a generalized version of congruent numbers based on a generalized version of Pythagorean triples.
Leomarich F. Casinillo +1 more
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Elliptic curve and k-Fibonacci-like sequence
Scientific African, 2023 In this paper, we will introduce a modified k-Fibonacci-like sequence defined on an elliptic curve and prove Binetâs formula for this sequence. Moreover, we give a new encryption scheme using this sequence.
Zakariae Cheddour +2 more
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Different approach on elliptic curves mathematical models study and their applications
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2022 In a research project in which a group of mathematical researchers is involved, it was necessary to create a system of nonlinear equations defined over a particular nonsupersingular elliptic space.
Alsaedi Ramzi +2 more
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Nonâvanishing theorems for central Lâvalues of some elliptic curves with complex multiplication
Proceedings of the London Mathematical Society, Volume 121, Issue 6, Page 1531-1578, December 2020., 2020 Abstract The paper uses Iwasawa theory at the prime p=2 to prove nonâvanishing theorems for the value at s=1 of the complex Lâseries of certain quadratic twists of the Gross family of elliptic curves with complex multiplication by the field K=Q(âq), where q is any prime âĄ7mod8.
John Coates, Yongxiong Li
wiley +1 more source
Lâequivalence for degree five elliptic curves, elliptic fibrations and K3 surfaces
Bulletin of the London Mathematical Society, Volume 52, Issue 2, Page 395-409, April 2020., 2020 Abstract We construct nonâtrivial Lâequivalence between curves of genus one and degree five, and between elliptic surfaces of multisection index five. These results give the first examples of Lâequivalence for curves (necessarily over nonâalgebraically closed fields) and provide a new bit of evidence for the conjectural relationship between L ...
Evgeny Shinder, Ziyu Zhang
wiley +1 more source
Nonlinearities on particular elliptic curves subspaces and applications
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2020 Researching on mathematical models for cryptography means to, primary, define the optimal spaces and rules for which we can archive the maximum time to find the involved parameters of the keys and, in the same time, to optimise the time for key ...
Alsaedi Ramzi +2 more
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CODIMENSION TWO CYCLES IN IWASAWA THEORY AND ELLIPTIC CURVES WITH SUPERSINGULAR REDUCTION
Forum of Mathematics, Sigma, 2019 A result of Bleher, Chinburg, Greenberg, Kakde, Pappas, Sharifi and Taylor has initiated the topic of higher codimension Iwasawa theory. As a generalization of the classical Iwasawa main conjecture, they prove a relationship between analytic objects (a ...
ANTONIO LEI, BHARATHWAJ PALVANNAN
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Transactions of the London Mathematical Society, Volume 6, Issue 1, Page 22-52, December 2019., 2019 Abstract Recently, there has been much interest in studying the torsion subgroups of elliptic curves baseâextended to infinite extensions of Q. In this paper, given a finite group G, we study what happens with the torsion of an elliptic curve E over Q when changing base to the compositum of all number fields with Galois group G.
Harris B. Daniels +2 more
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