Jacobian Versus Infrastructure in Split Hyperelliptic Curves

DOI10.1007/978-3-030-36237-9_11zbMath1442.14101OpenAlexW2995607861MaRDI QIDQ3294877

Monireh Rezai Rad, Renate Scheidler, Michael J. Jacobson jun.

Publication date: 29 June 2020

Published in: Algebra, Codes and Cryptology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-36237-9_11

zbMATH Keywords

Jacobianexplicit formulasinfrastructurebalanced divisorsplit hyperelliptic curve

Mathematics Subject Classification ID

Special algebraic curves and curves of low genus (14H45) Jacobians, Prym varieties (14H40) Curves over finite and local fields (11G20) Coverings of curves, fundamental group (14H30) Computational aspects of algebraic curves (14Q05)

Cites Work

• Cryptographic protocols on real hyperelliptic curves
• Explicit formulas for real hyperelliptic curves of genus 2 in affine representation
• Analytische Zahlentheorie in Körpern der Charakteristik \(p\)
• Formulae for arithmetic on genus 2 hyperelliptic curves
• Key-exchange in real quadratic congruence function fields
• Smoothness testing of polynomials over finite fields
• Modern Computer Algebra
• Group Law Computations on Jacobians of Hyperelliptic Curves
• Cryptographic aspects of real hyperelliptic curves
• Explicit infrastructure for real quadratic function fields and real hyperelliptic curves
• Rethinking low genus hyperelliptic Jacobian arithmetic over binary fields: interplay of field arithmetic and explicit formulæ
• Computing in the Jacobian of a Hyperelliptic Curve
• Computing L-Series of Hyperelliptic Curves
• Efficient Hyperelliptic Arithmetic Using Balanced Representation for Divisors
• Fast Jacobian arithmetic for hyperelliptic curves of genus 3
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Jacobian Versus Infrastructure in Split Hyperelliptic Curves