Some lattice attacks on DSA and ECDSA

DOI10.1007/s00200-011-0154-4zbMath1266.94024OpenAlexW1971773630MaRDI QIDQ429782

Dimitrios Poulakis

Publication date: 20 June 2012

Published in: Applicable Algebra in Engineering, Communication and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00200-011-0154-4

zbMATH Keywords

public key cryptographydiscrete logarithmDiophantine equationsdigital signature algorithmelliptic curve algorithm LLL

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Cryptography (94A60) Number-theoretic algorithms; complexity (11Y16) Authentication, digital signatures and secret sharing (94A62)

Related Items (4)

A new enhancement of elliptic curve digital signature algorithm ⋮ (EC)DSA lattice attacks based on Coppersmith's method ⋮ New lattice attacks on DSA schemes ⋮ Применение теории решеток к анализу схем цифровой подписи

Cites Work

• A variant of digital signature algorithm
• Factoring polynomials with rational coefficients
• Small solutions to polynomial equations, and low exponent RSA vulnerabilities
• The insecurity of the elliptic curve digital signature algorithm with partially known nonces
• On the security of the digital signature algorithm
• The insecurity of the digital signature algorithm with partially known nonces
• The state of elliptic curve cryptography
• A public key cryptosystem and a signature scheme based on discrete logarithms
• A Survey of Public-Key Cryptosystems
• Lattice attacks on digital signature schemes
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