Results 101 to 110 of about 2,536,804 (344)

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, Sato Hisayoshi, Takagi Tsuyoshi   +2 more
doaj   +1 more source

Multi-Threading Elliptic Curve Cryptosystems. [PDF]

, 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, Kanniah, Uma S., Azman Samsudin, Uma S. Kanniah   +3 more
core   +1 more source

Elliptic Curves - an Introduction

Irish Mathematical Society Bulletin, 2007
Elliptic curves – an introduction ...
openaire   +2 more sources

On p-degree of elliptic curves [PDF]

International Journal of Number Theory, 2018
In this note, we investigate the [Formula: see text]-degree function of an elliptic curve [Formula: see text]. The [Formula: see text]-degree measures the least complexity of a non-zero [Formula: see text]-torsion point on [Formula: see text]. We prove some properties of this function and compute it explicitly in some special cases.
openaire   +2 more sources

3D Printing Innovations in Polymeric Porous and Patterned Architecture

Advanced Functional Materials, EarlyView.
Polymeric foams occupy a unique structural space between dense solids and open networks, where engineered void fraction governs mechanical compliance, thermal resistance, and mass transport. Additive manufacturing now enables precise spatial control over cellular architecture, unlocking designer foam structures across applications spanning crash ...
Dhanush Patil, Sri Vaishnavi Thummalapalli, Clarissa Westover, Arunachalam Ramanathan, M. Taylor Sobzcak, Roumika Patil, Qixuan Xiang, Tiantian Li, Sui Yang, Timothy E. Long, Hongyue Sun, Xianqiao Wang, Yang Liu, Kenan Song   +13 more
wiley   +1 more source

Heights on elliptic curves over number fields, period lattices, and complex elliptic logarithms [PDF]

This thesis presents some major improvements in the following computations: a lower bound for the canonical height, period lattices, and elliptic logarithms.
Thongjunthug, Thotsaphon
core  

Motions of Curves in the Projective Plane Inducing the Kaup-Kupershmidt Hierarchy [PDF]

, 2012
The equation of a motion of curves in the projective plane is deduced. Local flows are defined in terms of polynomial differential functions. A family of local flows inducing the Kaup-Kupershmidt hierarchy is constructed.
Musso, Emilio, Emilio Musso, Musso, E.
core   +1 more source

Vacuum Formed Spherical Triboelectric Architecture Overcoming Direction Constraints for 3D‐Omnidirectional Ultrasonic Energy Receiving

Advanced Functional Materials, EarlyView.
First vacuum formed spherical triboelectric converter for 3D‐omnidirectional ultrasonic energy receiving, with configurable DC or pulse outputs for versatile applications. ABSTRACT Ultrasound‐driven triboelectric nanogenerators (UD‐TENGs) have emerged as promising ultrasonic energy converters for underwater and biomedical applications.
Yanqin Huang, Mengjie Qin, Zixuan He, Xu Yang, Wenjie Chen, Siya Zhou, Qiyuan Zhang, Zhangwei Wang, Yicheng Wang, Yonghong Cheng, Daniel M. Mulvihill, Sandy Cochran, Qingshen Jing   +12 more
wiley   +1 more source

Non-vanishing of Artin-twisted L-functions of elliptic curves [PDF]

, 2013
Let E be an elliptic curve and ρ an Artin representation, both defined over Q. Let p be a prime at which E has good reduction. We prove that there exists an infinite set of Dirichlet characters χ, ramified only at p, such that the Artin-twisted L-values ...
Ward, Thomas
core  

Quadratic Hamiltonians on non-Euclidean spaces of arbitrary constant curvature

, 2013
This paper derives explicit solutions for Riemannian and sub-Riemannian curves on non-Euclidean spaces of arbitrary constant cross-sectional curvature.
Biggs, James, BIGGS, JAMES DOUGLAS, James D. Biggs   +2 more
core   +1 more source