=ADD=
=reftype=
14
=number=
03-03
=url=
ftp://ftp.risc.uni-linz.ac.at/pub/techreports/2003/03-03.ps.gz
=year=
2003
=month=
04
=author=
Aistleitner; Christian
=title=
An Implementation of Elliptic Curves in CASA
=abstract=
Parts of the RISC team have spent lots of time dealing with elliptic and 
hyper-elliptic curves. But until now there has been no single algorithm 
available for dealing with these types of curves in \verb"CASA", a computer 
algebra system, developed by the research group of Franz Winkler at RISC. 
Since also \verb"Maple", on which \verb"CASA" is based, offers hardly any 
functionality, when it comes to elliptic curves, the necessity arose, to 
enrich the functionality of \verb"CASA" at a first stage in terms of 
elliptic curves. With this implementation a solid basis should be built, 
which should carry the advantage of the flexibility of both systems over to 
the topic of elliptic curves.

Furthermore an approach was made to illustrate the group law on elliptic 
curves in the most general way. This helps in facilitating demonstrations 
when it comes to elliptic curves and also conveying the idea of how the 
group law really works on elliptic curves.
=sponsor=
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/home/caistlei/ellcurve-report/risc-report.ps