This package provides the construction of random curves C ⊂ℙ^{ 3} for various values for its degree d and genus g. A space curve C ⊂ℙ^{ 3} is constructed via its Hartshorne-Rao module M= H^{1}_{*}(I_{C}(n)). In particular, there are constructions for random points in M_{g} for g=11,12,13.
For a algorithms and theoretical background see Needles in a Haystack
This documentation describes version 0.5 of RandomSpaceCurves.
The source code from which this documentation is derived is in the file RandomSpaceCurves.m2.