On the discrete logarithm problem for plane curves

DOI10.5802/jtnb.815zbMath1270.11128OpenAlexW2318447827MaRDI QIDQ1940471

Claus Diem

Publication date: 7 March 2013

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/fb38f2dfe2c92d3552b66511fa4abaa6618a7f12

zbMATH Keywords

curves over finite fieldsdiscrete logarithmindex calculusreflexive curve

Mathematics Subject Classification ID

Number-theoretic algorithms; complexity (11Y16) Curves over finite and local fields (11G20) Finite ground fields in algebraic geometry (14G15)

Related Items (3)

Normal forms of hyperelliptic curves of genus 3 ⋮ Cover attacks for elliptic curves with cofactor two ⋮ Probabilities of incidence between lines and a plane curve over finite fields

Cites Work

• Index calculus attack for Jacobian of hyperelliptic curves of small genus using two large primes
• Index calculus in class groups of non-hyperelliptic curves of genus three
• Computing Riemann-Roch spaces in algebraic function fields and related topics.
• On the discrete logarithm problem in class groups of curves
• Tangency and Duality Over Arbitrary Fields
• A double large prime variation for small genus hyperelliptic index calculus
• Frobenius Maps of Abelian Varieties and Finding Roots of Unity in Finite Fields
• Algorithmic Number Theory
• Advances in Cryptology - ASIACRYPT 2003
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On the discrete logarithm problem for plane curves