Binary Huff Curves

DOI10.1007/978-3-642-19074-2_22zbMath1284.94068OpenAlexW1481041935MaRDI QIDQ3073716

Marc Joye, Julien Devigne

Publication date: 11 February 2011

Published in: Topics in Cryptology – CT-RSA 2011 (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-19074-2_22

zbMATH Keywords

cryptographybinary fieldsElliptic curvesHuff curves

Mathematics Subject Classification ID

Cryptography (94A60) Applications to coding theory and cryptography of arithmetic geometry (14G50)

Related Items

A theta model for elliptic curves ⋮ Efficient Software Implementation of Laddering Algorithms Over Binary Elliptic Curves ⋮ An application of crypto cloud computing in social networks by cooperative game theory ⋮ Differential addition on binary elliptic curves ⋮ Arithmetic of the level four theta model of elliptic curves ⋮ Complete addition formulas on the level four theta model of elliptic curves ⋮ Differential Addition on Binary Elliptic Curves

Uses Software

• SageMath
• EFD

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The arithmetic of characteristic 2 Kummer surfaces and of elliptic Kummer lines
• Factoring integers with elliptic curves
• Sequences of numbers generated by addition in formal groups and new primality and factorization tests
• Diophantine problems in geometry and elliptic ternary forms
• Batch Binary Edwards
• Checking before output may not be enough against fault-based cryptanalysis
• Speeding the Pollard and Elliptic Curve Methods of Factorization
• Elliptic Curve Cryptosystems
• Reducing elliptic curve logarithms to logarithms in a finite field
• Exceptional Procedure Attack on Elliptic Curve Cryptosystems
• On Montgomery-Like Representations for Elliptic Curves over GF(2k)
• Huff’s Model for Elliptic Curves
• Advances in Elliptic Curve Cryptography
• Elliptic Curves and Rational Distance Sets