Extractors for Jacobians of Binary Genus-2 Hyperelliptic Curves

DOI10.1007/978-3-540-70500-0_33zbMath1370.94511OpenAlexW2167306060MaRDI QIDQ3511181

Reza Rezaeian Farashahi

Publication date: 8 July 2008

Published in: Information Security and Privacy (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-540-70500-0_33

zbMATH Keywords

hyperelliptic curveJacobiandeterministic extractor

Mathematics Subject Classification ID

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

Cites Work

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• Hyperelliptic cryptosystems
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• Handbook of Elliptic and Hyperelliptic Curve Cryptography
• The Quadratic Extension Extractor for (Hyper)Elliptic Curves in Odd Characteristic
• Fast genus 2 arithmetic based on Theta functions
• Distribution of some sequences of points on elliptic curves
• Extractors for Jacobian of Hyperelliptic Curves of Genus 2 in Odd Characteristic
• Selected Areas in Cryptography
• Tata lectures on theta. II: Jacobian theta functions and differential equations. With the collaboration of C. Musili, M. Nori, E. Previato, M. Stillman, and H. Umemura
• Public Key Cryptography - PKC 2006
• The Newton polygon of plane curves with many rational points

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