Recent progress on the elliptic curve discrete logarithm problem

SD Galbraith, P Gaudry - Designs, Codes and Cryptography, 2016 - Springer
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Elliptic curve cryptography

D Hankerson, A Menezes - Encyclopedia of Cryptography, Security and …, 2021 - Springer
Background Elliptic curve cryptographic schemes were proposed independently in 1985 by
Neal Koblitz (Koblitz 1987) and Victor Miller (Miller 1986). They are the elliptic curve …

[图书][B] Handbook of finite fields

GL Mullen, D Panario - 2013 - api.taylorfrancis.com
The CRC Handbook of Finite Fields (hereafter referred to as the Handbook) is a reference
book for the theory and applications of finite fields. It is not intended to be an introductory …

The elliptic curve digital signature algorithm (ECDSA)

D Johnson, A Menezes, S Vanstone - International journal of information …, 2001 - Springer
Abstract The Elliptic Curve Digital Signature Algorithm (ECDSA) is the elliptic curve
analogue of the Digital Signature Algorithm (DSA). It was accepted in 1999 as an ANSI …

Short signatures from the Weil pairing

D Boneh, B Lynn, H Shacham - International conference on the theory and …, 2001 - Springer
We introduce a short signature scheme based on the Computational Diffie-Hellman
assumption on certain elliptic and hyper-elliptic curves. The signature length is half the size …

[图书][B] Mathematics of public key cryptography

SD Galbraith - 2012 - books.google.com
Public key cryptography is a major interdisciplinary subject with many real-world
applications, such as digital signatures. A strong background in the mathematics underlying …

Short signatures from the Weil pairing

D Boneh, B Lynn, H Shacham - Journal of cryptology, 2004 - Springer
We introduce a short signature scheme based on the Computational Diffie–Hellman
assumption on certain elliptic and hyperelliptic curves. For standard security parameters, the …

[图书][B] Elliptic curves: number theory and cryptography

LC Washington - 2008 - taylorfrancis.com
Like its bestselling predecessor, Elliptic Curves: Number Theory and Cryptography, Second
Edition develops the theory of elliptic curves to provide a basis for both number theoretic and …

[图书][B] Introduction to cryptography

H Delfs, H Knebl, H Knebl - 2002 - Springer
VI Preface methods from information theory. Unconditionally secure schemes are now
addressed in an extra chapter, Chapter 10.• Unconditional security is not achievable without …

A Systematic Review of Fast, Scalable, and Efficient Hardware Implementations of Elliptic Curve Cryptography for Blockchain

R Ifrim, D Loghin, D Popescu - ACM Transactions on Reconfigurable …, 2024 - dl.acm.org
Blockchain technology entered the enterprise domain under the name of permissioned
blockchains and hybrid or verifiable database systems, as they provide a distributed solution …