The number of MDS [7, 3] codes on finite fields of characteristic 2

@article{Rolland1992TheNO,
  title={The number of MDS [7, 3] codes on finite fields of characteristic 2},
  author={Robert Rolland},
  journal={Applicable Algebra in Engineering, Communication and Computing},
  year={1992},
  volume={3},
  pages={301-310}
}
A code of lengthn, dimensionk and minimum distanced ismaximum distance separable (MDS) ifk+d=n+1. We give the number of MDS codes of length 7 and dimension 3 on finite fields withq elements whereq=2 m . In order to get this number, we compute the number of configurations of seven points in the projective plane overF q , no three of which are collinear.