Higher weights of Grassmann codes in terms of properties of Schubert   unions
  We describe the higher weights of the Grassmann codes $G(2,m)$ over finite fields ${\mathbb F}_q$ in terms of properties of Schubert unions, and in each case we determine the weight as the minimum of two explicit polynomial expressions in $q$. 
Sudhir R. Ghorpade, Trygve Johnsen, Arunkumar R. Patil, and Harish K.   Pillai
math.AG cs.IT math.CO math.IT