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FGb: a library for computing Gröbner bases. (English) Zbl 1294.68156
Fukuda, Komei (ed.) et al., Mathematical software – ICMS 2010. Third international congress on mathematical software, Kobe, Japan, September 13–17, 2010. Proceedings. Berlin: Springer (ISBN 978-3-642-15581-9/pbk). Lecture Notes in Computer Science 6327, 84-87 (2010).
Summary: FGb is a high-performance, portable, C library for computing Gröbner bases over the integers and over finite fields. FGb provides high quality implementations of state-of-the-art algorithms (\(F _{4}\) and \(F _{5})\) for computing Gröbner bases. Currently, it is one of the best implementation of these algorithms, in terms of both speed and robustness. For instance, FGb has been used to break several cryptosystems.
For the entire collection see [Zbl 1196.68008].

MSC:
68W30 Symbolic computation and algebraic computation
13P10 Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases)
Software:
FGb; Kronecker
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