Optimization of the arithmetic of the ideal class group for genus 4 hyperelliptic curves over projective coordinates

DOI10.3934/AMC.2010.4.115zbMath1218.94039OpenAlexW1968830617MaRDI QIDQ540357

Ismael Soto, Rodrigo Abarzúa, Miguel Alfaro, Nicolas Thériault, 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.2010.4.115

zbMATH Keywords

hyperelliptic curvesprojective coordinatesCantor's algorithmpublic key encryptionJacobian groupbinary fieldgenus 4

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Cryptography (94A60) Elliptic curves (14H52)

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