Results 21 to 30 of about 6,909,811 (176)

A secure and efficient certificateless content extraction signature with privacy protection.

open access: yesPLoS ONE, 2021
Efficiency and privacy are the key aspects in content extraction signatures. In this study, we proposed a Secure and Efficient and Certificateless Content Extraction Signature with Privacy Protection (SECCESPP) in which scalar multiplication of elliptic ...
Can Zhao   +4 more
doaj   +2 more sources

Elliptic divisibility sequences and the elliptic curve discrete logarithm problem [PDF]

open access: yes, 2008
We use properties of the division polynomials of an elliptic curve $E$ over a finite field $\mathbb{F}_q$ together with a pure result about elliptic divisibility sequences from the 1940s to construct a very simple alternative to the Menezes-Okamoto ...
Rachel Shipsey, Christine Swart
core   +1 more source

On the first fall degree of summation polynomials

open access: yesJournal of Mathematical Cryptology, 2019
We improve on the first fall degree bound of polynomial systems that arise from a Weil descent along Semaev’s summation polynomials relevant to the solution of the Elliptic Curve Discrete Logarithm Problem via Gröbner basis algorithms.
Kousidis Stavros, Wiemers Andreas
doaj   +1 more source

Collision bounds for the additive Pollard rho algorithm for solving discrete logarithms

open access: yesJournal of Mathematical Cryptology, 2014
We prove collision bounds for the Pollard rho algorithm to solve the discrete logarithm problem in a general cyclic group 𝐆$\mathbf {G}$. Unlike the setting studied by Kim et al., we consider additive walks: the setting used in practice to solve the ...
Bos Joppe W.   +2 more
doaj   +1 more source

Attribute-Based Blind Signature Scheme Based on Elliptic Curve Cryptography

open access: yesIEEE Access, 2022
Blind signature is a special digital signature that allows the signer to sign a document without knowing its content. However, in many situations, multiple people need to blindly sign messages.
Rui Ma, Linyue Du
doaj   +1 more source

Elliptic Curve Cryptosystem on the Base of Discrete Logarithm Generator [PDF]

open access: yes, 1998
In this paper, we showed the theory of elliptic curve, discrete logarithm problem (DLD), elliptic curve discrete logarithm problem (EDLP), discrete logarithm generator and EIGamal cryptosystem and elliptic cryptosystem.
ODAKA, Tomohiro   +7 more
core   +1 more source

Transformation of Elliptic Curve Discrete Logarithm Problem to QUBO Using Direct Method in Quantum Annealing Applications

open access: yesJournal of Telecommunications and Information Technology
This paper investigates how to reduce the elliptic curve discrete logarithm problem over prime fields to the quadratic unconstrained binary optimization (QUBO) problem in order to obtain as few logical qubits as possible. In the best case scenario, if n
Michał Wroński   +3 more
doaj   +1 more source

On the cryptographic properties of “Limonnik-3” AKE scheme

open access: yesБезопасность информационных технологий, 2019
We study the “Limonnik-3” authenticated key exchange protocol which is a part of Standardization recommendations R 1323565.1.004-2017 “Authenticated key agreement schemes based on public keys”, officially adopted in Russia in 2017, alongside with the ...
Sergey V. Grebnev
doaj   +1 more source

Cryptanalysis and improvement of an encryption scheme that uses elliptic curves over finite fields

open access: yesKuwait Journal of Science, 2021
In this paper, we cryptanalyzed a recently proposed encryption scheme that uses elliptic curve over a finite field. The security of proposed scheme depends upon elliptic curve discrete logarithm problem.
Malik Zia, Rashid Ali
doaj   +1 more source

On the asymptotic effectiveness of Weil descent attacks

open access: yesJournal of Mathematical Cryptology, 2010
In this paper we investigate the asymptotic effectiveness of the Gaudry–Hess–Smart Weil descent attack and its generalization to the discrete logarithm problem for elliptic curves over characteristic-two finite fields.
Karabina Koray   +3 more
doaj   +1 more source

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