Weight spectrum of C^A(3,m) for general m

Determine the complete weight spectrum of the affine Grassmann code C^A(3,m) for general m≥6.

Background

The paper explicitly identifies C^A(3,m) with general m as the next natural target for the suggested induction on ℓ. The completed computation for C^A(3,6), together with earlier results for C^A(2,m), provides the first steps of this proposed program. Extending the calculation to arbitrary m would require overcoming the more complicated orbit and form-classification issues described in the remark.