Group Law Computations on Jacobians of Hyperelliptic Curves

DOI10.1007/978-3-642-28496-0_6zbMath1292.94049OpenAlexW1596013679MaRDI QIDQ2889865

Craig Costello, Kristin E. Lauter

Publication date: 8 June 2012

Published in: Selected Areas in Cryptography (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-28496-0_6

zbMATH Keywords

group lawgenus 2Hyperelliptic curvesJacobian arithmetic

Mathematics Subject Classification ID

Cryptography (94A60)

Related Items (10)

Fast cryptography in genus 2 ⋮ HECC (Hyperelliptic Curve Cryptography) ⋮ Jacobian coordinates on genus 2 curves ⋮ Bäcklund transformations for the nonholonomic Veselova system ⋮ A new twofold Cornacchia-type algorithm and its applications ⋮ Bäcklund transformations and divisor doubling ⋮ Jacobian Versus Infrastructure in Split Hyperelliptic Curves ⋮ Fast scalar multiplication of degenerate divisors for hyperelliptic curve cryptosystems ⋮ Bäcklund transformations for the Jacobi system on an ellipsoid ⋮ Duffing Oscillator and Elliptic Curve Cryptography

Uses Software

• HECC
• EFD

Cites Work

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