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

Wouter Castryck, Hendrik Hubrechts, Fréderik Vercauteren

Type: Book-Chapter

Publication Date: 2008-01-01

Citations: 5

DOI: https://doi.org/10.1007/978-3-540-79456-1_20

View Publication

Download PDF

Locations

Lecture notes in computer science - View
Lirias (KU Leuven) - View - PDF

Similar Works

Action	Title	Year	Authors
+	Computing zeta functions in families of C_{a,b} curves using deformation	2008	Wouter Castryck Hendrik Hubrechts Fréderik Vercauteren
+	Determining the zeta function of curves via p-adic cohomology and deformation theory	2007	Jerome Grand ' Maison
+	Applications of theta functions to hyperelliptic curves cryptography	2011	Romain Cosset
+	Improvements to the deformation method for counting points on smooth projective hypersurfaces	2013	Sebastian Pancratz Jan Tuitman
+	Improvements to the deformation method for counting points on smooth projective hypersurfaces	2013	Sebastian Pancratz Jan Tuitman
+ PDF Chat	Improvements to the Deformation Method for Counting Points on Smooth Projective Hypersurfaces	2015	Sebastian Pancratz Jan Tuitman
+ PDF Chat	An Extension of Kedlaya’s Algorithm to Artin-Schreier Curves in Characteristic 2	2002	Jan Denef Fréderik Vercauteren
+ PDF Chat	Applications of theta functions for hyperelliptic curve cryptography.	2011	Romain Cosset
+	Point counting in families of hyperelliptic curves	2006	Hendrik Hubrechts
+ PDF Chat	Point Counting in Families of Hyperelliptic Curves	2007	Hendrik Hubrechts
+	Computing Zeta Functions of Curves over Finite Fields	2008	Fré Vercauteren
+ PDF Chat	Computing zeta functions of generic projective hypersurfaces in larger characteristic	2017	Jan Tuitman
+	Computing Zeta Functions of Superelliptic Curves in Larger Characteristic	2009	Moritz Minzlaff
+	Computing zeta functions of hyperelliptic curves over finite fields of characteristic 2	2002	Fréderik Vercauteren
+	Eta pairing computation on general divisors over hyperelliptic curves y.	2008	Eunjeong Lee Hyang-Sook Lee Yoonjin Lee
+ PDF Chat	Algebraic Curves and Cryptography	2010	V. Kumar Murty
+	Memory efficient hyperelliptic curve point counting	2006	Hendrik Hubrechts
+ PDF Chat	MEMORY EFFICIENT HYPERELLIPTIC CURVE POINT COUNTING	2011	Hendrik Hubrechts
+	Memory efficient hyperelliptic curve point counting	2006	Hendrik Hubrechts
+ PDF Chat	Zeta-functions of Curves over Finite Fields	2024	Kin Wai Chan

Works That Cite This (5)

Action	Title	Year	Authors
+ PDF Chat	An L(1/3) Discrete Logarithm Algorithm for Low Degree Curves	2010	Andreas Enge Pierrick Gaudry Emmanuel Thomé
+	Fast arithmetic in unramified p-adic fields	2010	Hendrik Hubrechts
+ PDF Chat	A point counting algorithm for cyclic covers of the projective line	2015	Cécile Gonçalves
+	Computing Zeta Functions of Superelliptic Curves in Larger Characteristic	2009	Moritz Minzlaff
+ PDF Chat	MEMORY EFFICIENT HYPERELLIPTIC CURVE POINT COUNTING	2011	Hendrik Hubrechts

Works Cited by This (13)

Action	Title	Year	Authors
+	Construction of Secure Random Curves of Genus 2 over Prime Fields	2004	Pierrick Gaudry Éric Schost
+	Handbook of Elliptic and Hyperelliptic Curve Cryptography	2005	Henri Cohen Gerhard Frey Roberto Avanzi Christophe Doche Tanja Lange Kim Nguyễn Fréderik Vercauteren
+	Counting Points on Hyperelliptic Curves using Monsky-Washnitzer Cohomology	2001	Kiran S. Kedlaya
+ PDF Chat	The cohomology of Monsky and Washnitzer	1986	Marius van der Put
+	Deformation theory and the computation of zeta functions	2004	Alan G. B. Lauder
+ PDF Chat	A Recursive Method for Computing Zeta Functions of Varieties	2006	Alan G. B. Lauder
+ PDF Chat	Point Counting in Families of Hyperelliptic Curves	2007	Hendrik Hubrechts
+ PDF Chat	Counting points on <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msub><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="italic">ab</mml:mi></mml:mrow></mml:msub></mml:math> curves using Monsky–Washnitzer cohomology	2005	Jan Denef Fréderik Vercauteren
+	Computing zeta functions of nondegenerate curves	2006	Wouter Castryck Jan Denef Fréderik Vercauteren
+	Counting points on varieties over finite fields of small characteristic	2008	Alan G. B. Lauder Daqing Wan