Families of genus 2 curves with small embedding degree

DOI10.1515/JMC.2009.002zbMath1165.94007OpenAlexW1969526561MaRDI QIDQ3632750

Laura Hitt

Publication date: 12 June 2009

Published in: Journal of Mathematical Cryptology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jmc.2009.002

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Cryptography (94A60) Applications to coding theory and cryptography of arithmetic geometry (14G50)

Related Items

Generating pairing-friendly parameters for the CM construction of genus 2 curves over prime fields

Uses Software

• Magma

Cites Work

• Unnamed Item
• The improbability that an elliptic curve has subexponential discrete log problem under the Menezes-Okamoto-Vanstone algorithm
• The Magma algebra system. I: The user language
• Curves of genus two over fields of even characteristic
• Endomorphisms of Abelian varieties over finite fields
• An improved algorithm for computing logarithms over<tex>GF(p)</tex>and its cryptographic significance (Corresp.)
• Principally Polarized Ordinary Abelian Varieties Over Finite Fields
• Algebraic curves and cryptography