Advances in Cryptology - EUROCRYPT 2004

DOI10.1007/b97182zbMath1122.11315OpenAlexW2477185671WikidataQ21683979 ScholiaQ21683979MaRDI QIDQ5307257

Pierrick Gaudry, Éric Schost

Publication date: 25 September 2007

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

Full work available at URL: https://doi.org/10.1007/b97182

Mathematics Subject Classification ID

Number-theoretic algorithms; complexity (11Y16) Curves over finite and local fields (11G20)

Related Items (17)

Genus 2 point counting over prime fields ⋮ Efficient computation of Cantor's division polynomials of hyperelliptic curves over finite fields ⋮ Computing zeta functions of cyclic covers in large characteristic ⋮ Zeta functions of nondegenerate hypersurfaces in toric varieties via controlled reduction in \(p\)-adic cohomology ⋮ Constructing pairing-friendly hyperelliptic curves using Weil restriction ⋮ Homotopy techniques for multiplication modulo triangular sets ⋮ Computing Zeta Functions in Families of C a,b Curves Using Deformation ⋮ Fast computation of special resultants ⋮ Trisection for genus 2 curves in odd characteristic ⋮ Algebraic curves and cryptography ⋮ Koblitz curve cryptosystems ⋮ A generic approach to searching for Jacobians ⋮ Symbolic Trisection Polynomials for Genus 2 Curves in Odd Characteristic ⋮ Evaluation properties of invariant polynomials ⋮ Generating Genus Two Hyperelliptic Curves over Large Characteristic Finite Fields ⋮ Counting points on hyperelliptic curves with explicit real multiplication in arbitrary genus ⋮ Bisection for genus 2 curves in odd characteristic

Uses Software

• NTL
• HECC

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