Generalized Hamming weights of a class of linear codes

In [22], Kelan Ding and Cunsheng Ding presented a class of linear codes and determined their weight distributions. In this paper, we focus on the generalized Hamming weights of these codes. In order to do so, we study the quadratic forms over subspaces of finite field and obtain some interesting results about subspaces and their dual spaces. On this basis, we solve all the generalized Hamming weights of these linear codes.