Results 31 to 40 of about 18,527 (309)

Murmurations of Elliptic Curves

open access: yesExperimental Mathematics
27 pages, 16 figures, 2 ...
Yang-Hui He   +3 more
openaire   +2 more sources

Euler characteristics and elliptic curves [PDF]

open access: yesProceedings of the National Academy of Sciences, 1997
Let E be a modular elliptic curve over ℚ, without complex multiplication; let p be a prime number where E has good ordinary reduction; and let F ∞ be the field obtained by adjoining to ℚ all p -power ...
Coates, John, Howson, Susan
openaire   +3 more sources

TWO-FACTOR AUTHENTICATION PROTOCOL IN ACCESS CONTROL SYSTEMS

open access: yesInformation and Telecommunication Sciences, 2023
Background. To ensure the protection of the biometric access control system used in unsecured communication channels, it is necessary to exclude the storage and transfer, transfer of biometric data as well as sequences generated on their basis. The paper
Ірина Стрелковська   +2 more
doaj   +1 more source

Triangles and elliptic curves, V

open access: yesProceedings of the Japan Academy, Series A, Mathematical Sciences, 1994
The author continues his work on elliptic curves associated to triangles as described in part I, ibid. 70, No. 4, 106-108; part II, ibid., No. 7, 223-225; and part III, ibid., No. 10, 311-314 (1994); see respectively Zbl 0824.14028 and 14029 and Zbl 0832.14021).
openaire   +11 more sources

On the Density of Elliptic Curves [PDF]

open access: yesCompositio Mathematica, 2001
We show that 17.9% of all elliptic curves over Q , ordered by their exponential height, are semistable, and that there is a positive density subset of elliptic curves for which the root numbers are uniformly distributed. Moreover, for any α > 1/6 (resp. α > 1/12) the set of Frey curves (
openaire   +2 more sources

Methods for using elliptic curves in cryptography [PDF]

open access: yesE3S Web of Conferences
Elliptic 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
doaj   +1 more source

On hashing into elliptic curves

open access: yesJournal of Mathematical Cryptology, 2009
Abstract We study the hash function from a finite field 𝔽 q into an elliptic curve over 𝔽 q which has recently been introduced by T. Icart.
Reza Rezaeian Farashahi   +2 more
openaire   +2 more sources

COHERENT SYSTEMS ON ELLIPTIC CURVES [PDF]

open access: yesInternational 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.
Lange, Herbert, Newstead, P. E.
openaire   +3 more sources

Molecular characterization of covRS mutations in M1UK Streptococcus pyogenes

open access: yesFEBS Open Bio, EarlyView.
Group A Streptococcus (GAS) acquires covRS mutations driving a hypervirulent bacterial state, frequently associated with invasive disease‐like necrotizing fasciitis. We demonstrate that the newly emerged M1UK GAS lineage can also acquire these mutations.
Jarrad Pritchard   +12 more
wiley   +1 more source

FPGA Based High Speed SPA Resistant Elliptic Curve Scalar Multiplier Architecture

open access: yesInternational 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
doaj   +1 more source

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