Results 11 to 20 of about 198,499,059 (216)
Multi-Threading Elliptic Curve Cryptosystems. [PDF]
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
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On L-functions of modular elliptic curves and certain K3 surfaces [PDF]
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
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L-functions of twisted elliptic curves over function fields [PDF]
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
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Cycles, L-functions and triple products of elliptic curves. [PDF]
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
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Arithmetic properties of coefficients of L-functions of elliptic curves [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Guloglu, Ahmet M. +2 more
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$L$-function of noncommutative tori [PDF]
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.
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Symmetric Powers of Elliptic Curve L-Functions [PDF]
Accepted to ANTS ...
Martin, Phil, Watkins, Mark
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Highly Efficient SCA-Resistant Binary Field Multiplication on 8-Bit AVR Microcontrollers
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]
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
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CODIMENSION TWO CYCLES IN IWASAWA THEORY AND ELLIPTIC CURVES WITH SUPERSINGULAR REDUCTION
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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