Revisiting the Efficient Key Generation of ZHFE

DOI10.1007/978-3-319-55589-8_13zbMath1406.94064OpenAlexW2604830032MaRDI QIDQ5739034

Yasuhiko Ikematsu, Dung Hoang Duong, Albrecht Petzoldt, Tsuyoshi Takagi

Publication date: 1 June 2017

Published in: Codes, Cryptology and Information Security (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-55589-8_13

zbMATH Keywords

encryption schemesmultivariate cryptographypost quantum cryptographyZHFE

Mathematics Subject Classification ID

Cryptography (94A60) Quantum cryptography (quantum-theoretic aspects) (81P94)

Uses Software

• Magma

Cites Work

• The Magma algebra system. I: The user language
• On the security and key generation of the ZHFE encryption scheme
• A Multivariate Encryption Scheme with Rainbow
• Extension Field Cancellation: A New Central Trapdoor for Multivariate Quadratic Systems
• Security Analysis and Key Modification for ZHFE
• Efficient ZHFE Key Generation
• Design Principles for HFEv- Based Multivariate Signature Schemes
• New Candidates for Multivariate Trapdoor Functions
• Hidden Fields Equations (HFE) and Isomorphisms of Polynomials (IP): Two New Families of Asymmetric Algorithms
• ZHFE, a New Multivariate Public Key Encryption Scheme
• Post-Quantum Cryptography
• Rainbow, a New Multivariable Polynomial Signature Scheme
• SSE Implementation of Multivariate PKCs on Modern x86 CPUs
• Unbalanced Oil and Vinegar Signature Schemes
• Polynomial-Time Algorithms for Prime Factorization and Discrete Logarithms on a Quantum Computer
• Simple Matrix Scheme for Encryption
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