Computing Zeta Functions in Families of C a,b Curves Using Deformation

DOI10.1007/978-3-540-79456-1_20zbMath1189.11060OpenAlexW160171194MaRDI QIDQ5387606

Hendrik Hubrechts, Wouter Castryck, Frederik Vercauteren

Publication date: 27 May 2008

Published in: Lecture Notes in Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-540-79456-1_20

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41) Analytic computations (11Y35)

Related Items (4)

Computing zeta functions of superelliptic curves in larger characteristic ⋮ An \(L(1/3)\) discrete logarithm algorithm for low degree curves ⋮ Fast arithmetic in unramified \(p\)-adic fields ⋮ MEMORY EFFICIENT HYPERELLIPTIC CURVE POINT COUNTING

Cites Work

• Counting points on \(C_{ab}\) curves using Monsky-Washnitzer cohomology
• Point counting in families of hyperelliptic curves
• Counting points on elliptic curves over finite fields
• MEMORY EFFICIENT HYPERELLIPTIC CURVE POINT COUNTING
• A Recursive Method for Computing Zeta Functions of Varieties
• Computing zeta functions of nondegenerate curves
• Deformation theory and the computation of zeta functions
• Advances in Cryptology - EUROCRYPT 2004
• Handbook of Elliptic and Hyperelliptic Curve Cryptography
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