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Title: Computing zeta functions in families of C_{a,b} curves using deformation
Authors: Castryck, Wouter
Hubrechts, Hendrik
Vercauteren, Fr├ęderik
Issue Date: 2008
Publisher: Springer-Verlag
Host Document: Lecture Notes in Computer Science vol:5011 pages:296-311
Conference: ANTS edition:VIII location:Banff (Canada) date:17-22 May 2008
Abstract: We apply deformation theory to compute zeta functions in a family of Ca,b curves over a finite field of small characteristic. The method combines Denef and Vercauteren's extension of Kedlaya's algorithm to Ca,b curves with Hubrechts' recent work on point counting on hyper elliptic curves using deformation. As a result, it is now possible to generate Ca,b curves suitable for use in cryptography in a matter of minutes.
ISSN: 0302-9743
Publication status: published
KU Leuven publication type: IC
Appears in Collections:ESAT - STADIUS, Stadius Centre for Dynamical Systems, Signal Processing and Data Analytics
Algebra Section

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