A study on randomness used in signature generation of UOV

DOI10.1007/978-981-16-6890-6_4zbMath1498.94090OpenAlexW4226200863MaRDI QIDQ2079890

Yasuhiko Ikematsu

Publication date: 7 October 2022

Full work available at URL: https://doi.org/10.1007/978-981-16-6890-6_4

zbMATH Keywords

post-quantum cryptographymultivariate public key cryptosystemsUOV signature scheme

Mathematics Subject Classification ID

Cryptography (94A60) Authentication, digital signatures and secret sharing (94A62) Quantum cryptography (quantum-theoretic aspects) (81P94)

Uses Software

• Magma
• MQ Challenge

Cites Work

• A new efficient algorithm for computing Gröbner bases \((F_4)\)
• The Magma algebra system. I: The user language
• Chosen message attack on multivariate signature ELSA at Asiacrypt 2017
• Handling vinegar variables to shorten rainbow key pairs
• An existential unforgeable signature scheme based on multivariate quadratic equations
• Multivariate public key cryptosystems
• Hybrid approach for solving multivariate systems over finite fields
• New Differential-Algebraic Attacks and Reparametrization of Rainbow
• Post-Quantum Cryptography
• Rainbow, a New Multivariable Polynomial Signature Scheme
• Unbalanced Oil and Vinegar Signature Schemes
• Polynomial-Time Algorithms for Prime Factorization and Discrete Logarithms on a Quantum Computer
• All in the XL Family: Theory and Practice
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