The weight hierarchies of qq-ary linear codes of dimension 4

The weight hierarchy of a linear [nn, kk; qq] code CC over GF(q)GF(q) is the sequence (d1,d2,…,dkd1,d2,…,dk), where drdr is the smallest support weight of an rr-dimensional subcode of CC. In this paper, by using the finite projective geometry method, we determine almost all weight hierarchies of qq-ary general linear codes of dimension 4.