Cryptographic protocols on real hyperelliptic curves

DOI10.3934/amc.2007.1.197zbMath1207.94056OpenAlexW1967863954MaRDI QIDQ629756

Michael J. Jacobson jun., Renate Scheidler, Andreas Stein

Publication date: 10 March 2011

Published in: Advances in Mathematics of Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/amc.2007.1.197

zbMATH Keywords

efficient implementationdiscrete logarithm based cryptographyinfrastructure and distancereal hyperelliptic curvereduced divisor

Mathematics Subject Classification ID

Cryptography (94A60) Special algebraic curves and curves of low genus (14H45) Computational aspects of algebraic curves (14Q05)

Related Items

An Adaptation of the NICE Cryptosystem to Real Quadratic Orders ⋮ Fast Jacobian arithmetic for hyperelliptic curves of genus 3 ⋮ Jacobian Versus Infrastructure in Split Hyperelliptic Curves ⋮ Comparison of scalar multiplication on real hyperelliptic curves ⋮ Cryptographic aspects of real hyperelliptic curves ⋮ The infrastructure of a global field of arbitrary unit rank

Uses Software

• NTL
• HECC