Title: Weight hierarchy of a class of linear codes relating to non-degenerate quadratic forms,
Abstract: In this paper, we discuss the generalized Hamming weights of a class of
linear codes associated with non-degenerate quadratic forms. 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.