FGb is a high-performance, portable, C library for computing Grobner 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 Grobner 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 cryptosy stems.
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