This package provides the construction of random curves $C \subset \mathbb{P}^{ 3}$ for various values for its degree $d$ and genus $g$. A space curve $C \subset \mathbb{P}^{ 3}$ is constructed via its Hartshorne-Rao module $M= H^1_*(\mathcal{I}_C(n))$. 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.
The object RandomSpaceCurves is a package.