R. Lercier and C. Ritzenthaler. G3Twists v1.1 :
Reconstruction of genus 3 curves from their invariants.
Developed with Magma (v.2.18), January 2013.
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This package provides tools to compute models of genus 3
curves and their geometric automorphism group from Shioda
invariants. The algorithms used are described in
[LR12]
J.M. Couveignes, T. Ezome, and
R. Lercier. GaloisTest v1.1 : a faster pseudoprimality
test.
Developed with Magma (v.2.18), May 2012.
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This script is an implementation of the pseudoprimality test described in [CEL12]
R. Lercier and C. Ritzenthaler. G2Twists v1.1 :
Reconstruction of genus 2 curves from their invariants and twists over a
finite field.
Note that this package has been incorporated in the official magma
distribution, since version 2.15, April 2009.
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This package provides tools to compute models of genus 2
curves and their geometric automorphism group from absolute
invariants. Over a finite field, all the twists are computed
too.
R. Lercier and J.M. Couveignes. EllBasis v1.1 :
Elliptic basis for finite fields.
Developed with Magma (v.2.14), June 2008.
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This package provides MAGMA routines to handle basis for
extensions (of degree d) of finite fields (with q elements)
such that there exists fast algorithms to compute Frobenius
and multiplications. These basis, available when there
exists a point of order d on an elliptic curve defined over
GF(q), are called elliptic (normal) basis in
[CL08] and, at some extend, can
be seen as a a generalisation of Gaussian Normal Basis.
Modification date :
Saturday 10 of January, 2015 [19:34:01 UTC]
