A comparison of MNT curves and supersingular curves

DOI10.1007/s00200-006-0017-6zbMath1134.94377OpenAlexW2112842125MaRDI QIDQ862563

Frederik Vercauteren, Nigel P. Smart, Dan Page

Publication date: 24 January 2007

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

Full work available at URL: https://www.cosic.esat.kuleuven.be/publications/article-522.pdf

Mathematics Subject Classification ID

Data encryption (aspects in computer science) (68P25) Applications to coding theory and cryptography of arithmetic geometry (14G50) Authentication, digital signatures and secret sharing (94A62)

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Cites Work

• Generating more MNT elliptic curves
• Software Implementation of Finite Fields of Characteristic Three, for Use in Pairing-based Cryptosystems
• Using number fields to compute logarithms in finite fields
• Advances in Cryptology - EUROCRYPT 2004
• Advances in Cryptology – CRYPTO 2004
• Pairing-Friendly Elliptic Curves of Prime Order
• Algorithmic Number Theory
• Escrow-free encryption supporting cryptographic workflow
• Selected Areas in Cryptography
• Advances in Cryptology - ASIACRYPT 2003
• Oblivious signature-based envelope
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