Results 11 to 20 of about 198,499,059 (216)

Multi-Threading Elliptic Curve Cryptosystems. [PDF]

open access: yes, 2007
Elliptic Curve Cryptosystems (ECC) is being widely used in cryptographic systems due to its unique security features. In many cases, ECC had also been crafted onto specialized processor for performance reason.
Samsudin, Azman   +3 more
core   +2 more sources

On L-functions of modular elliptic curves and certain K3 surfaces [PDF]

open access: yesThe Ramanujan Journal, 2021
AbstractInspired by Lehmer’s conjecture on the non-vanishing of the Ramanujan $$\tau $$ τ -function, one may ask whether an odd integer $$\alpha $$ α can be equal to $$\tau (n)$$ τ ( n )
Malik Amir, Letong Hong
openaire   +5 more sources

L-functions of twisted elliptic curves over function fields [PDF]

open access: yes, 2009
textTraditionally number theorists have studied, both theoretically and computationally, elliptic curves and their L-functions over number fields, in particular over the rational numbers.
Baig, Salman Hameed
core   +3 more sources

Cycles, L-functions and triple products of elliptic curves. [PDF]

open access: yesJournal für die reine und angewandte Mathematik (Crelles Journal), 1997
Summary: This article investigates a conjecture of Beilinson and Bloch which relates the rank of the Griffiths group of a smooth projective variety over a number field to the order of vanishing of an L-function at the center of the critical strip. Numerical data is gathered for 1-cycles on \(E^3\) for 76 different elliptic curves \(E/\mathbb{Q}\).
Schoen, Chad, Top, Jaap, Buhler, Joe
openaire   +2 more sources

Arithmetic properties of coefficients of L-functions of elliptic curves [PDF]

open access: yesMonatshefte für Mathematik, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Guloglu, Ahmet M.   +2 more
openaire   +5 more sources

$L$-function of noncommutative tori [PDF]

open access: yes, 2023
We introduce an analog of the $L$-function for noncommutative tori. It is proved that such a function coincides with the Hasse-Weil $L$-function of an elliptic curve with complex multiplication.
Nikolaev, Igor V.
core   +1 more source

Symmetric Powers of Elliptic Curve L-Functions [PDF]

open access: yes, 2006
Accepted to ANTS ...
Martin, Phil, Watkins, Mark
openaire   +3 more sources

Highly Efficient SCA-Resistant Binary Field Multiplication on 8-Bit AVR Microcontrollers

open access: yesApplied Sciences, 2020
Binary field ( B F ) multiplication is a basic and important operation for widely used crypto algorithms such as the GHASH function of GCM (Galois/Counter Mode) mode and NIST-compliant binary Elliptic Curve Cryptosystems (ECCs). Recently, Seo et al.
Seog Chung Seo, Donggeun Kwon
doaj   +1 more source

Hardware Accelerators for Elliptic Curve Cryptography [PDF]

open access: yes, 2008
Puttmann C, Shokrollahi J, Porrmann M, Rückert U. Hardware Accelerators for Elliptic Curve Cryptography. Advances in Radio Science. 2008;6:259-264.In this paper we explore different hardware accelerators for cryptography based on elliptic curves ...
U. Rückert   +7 more
core   +2 more sources

CODIMENSION TWO CYCLES IN IWASAWA THEORY AND ELLIPTIC CURVES WITH SUPERSINGULAR REDUCTION

open access: yesForum 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
doaj   +1 more source

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