Elliptic curve algorithm integration in the secure shell transport layer [PDF]
This document describes algorithms based on Elliptic Cryptography (ECC) for use within the Secure Shell (SSH) transport protocol. In particular, it specifies Elliptic Curve Diffie-Hellman (ECDH) key agreement, Elliptic Curve Menezes-Qu-Vanstone (ECMQV ...
Green, Jon, Stebila, Douglas
core
Efficient elliptic curve exponentiation [PDF]
Elliptic curve cryptosystems, proposed by Koblitz([8]) and Miller([11]), can be constructed over a smaller definition field than the ElGamal cryptosystems([5]) or the RSA cryptosystems( [16]).
Miyaji, Atsuko +2 more
core +1 more source
Near‐Infrared Light‐Driven Zn/Au Janus Micromotors for Multiplex SERS Detection of Anticancer Drugs
Zn/Au Janus micromotors, propelled by thermophoretic effects under NIR light, function as active SERS platforms for single and multiplex detection of anticancer drugs. Their dynamic motion enhances analyte exchange at the Au interface, reducing saturation and competitive adsorption, thereby improving sensitivity and extending the linear detection range.
Tijana Maric +8 more
wiley +1 more source
Classification of Elements in Elliptic Curve Over the Ring 𝔽q[ɛ]
Let 𝔽q[ɛ] := 𝔽q [X]/(X4 − X3) be a finite quotient ring where ɛ4 = ɛ3, with 𝔽q is a finite field of order q such that q is a power of a prime number p greater than or equal to 5.
Selikh Bilel +2 more
doaj +1 more source
On Arithmetic Progressions on Elliptic Curves [PDF]
We study arithmetic progressions in the x-coordinates of rational points on elliptic curves. An infinite family of elliptic curves is found, each containing an arithmetic progression of length 8.
openaire +2 more sources
An analysis for chosen plaintext attack in elliptic curve cryptosystem based on second order lucas sequence [PDF]
Elliptic Curve Cryptography is a cryptography based on the algebraic structure of elliptic curves over finite fields. The security of Elliptic Curve Cryptography depends on discrete logarithms that is much more difficult to challenge at equivalent key ...
Naning @ Zin, Fatin Hana +4 more
core
3D Printing Innovations in Polymeric Porous and Patterned Architecture
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 +13 more
wiley +1 more source
Nested Method for Optimizing Elliptic Curve Scalar Multiplication [PDF]
The algebraic curve that attracted considerable interest in recent years is called Elliptic Curve (EC). This is due to the computational complexity of its arithmetic over a finite field.
N. Ghanim, M. Magamiss
doaj +1 more source
Triangle configurations, and Beilinson's conjecture for $K_{1}^{(2)}$ of the product of a curve with itself [PDF]
The aim of this thesis is to look into Beilinson's conjecture on the rank of the integral part of certain algebraic $K$-groups of varieties over number fields, as applied to $K_{1}^{(2)}(C\times C)$ where $C$ is a (smooth projective) curve. In particular,
ZIGMOND, ROBIN,JAMES
core
New Formulae for Efficient Elliptic Curve Arithmetic
This paper is on efficient implementation techniques of Elliptic Curve Cryptography. In particular, we improve timings for Jacobi-quartic (3M+4S) and Hessian (7M+1S or 3M+6S) doubling operations.
Carter, Gary P. +2 more
core +1 more source

