Efficient reduction of large divisors on hyperelliptic curves

DOI10.3934/amc.2010.4.261zbMath1225.14049OpenAlexW2009378037MaRDI QIDQ540370

Renate Scheidler, Michael J. Jacobson jun., Roberto M. Avanzi

Publication date: 3 June 2011

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

Full work available at URL: https://doi.org/10.3934/amc.2010.4.261

zbMATH Keywords

hyperelliptic curvedivisorreductioncontinued fraction expansionscalar multiplication

Mathematics Subject Classification ID

Jacobians, Prym varieties (14H40) Curves over finite and local fields (11G20) Computational aspects of algebraic curves (14Q05) Applications to coding theory and cryptography of arithmetic geometry (14G50) Continued fraction calculations (number-theoretic aspects) (11Y65)

Related Items (3)

HECC (Hyperelliptic Curve Cryptography) ⋮ Fast Jacobian arithmetic for hyperelliptic curves of genus 3 ⋮ Cryptographic aspects of real hyperelliptic curves

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