Weight hierarchies of a family of linear codes associated with degenerate quadratic forms
arXiv:1804.06866 · doi:10.1016/j.disc.2021.112718
Abstract
We restrict a degenerate quadratic form over a finite field of odd characteristic to subspaces. Thus, a quotient space related to is introduced. Then we get a non-degenerate quadratic form induced by over the quotient space. Some related results on the subspaces and quotient space are obtained. Based on this, we solve the weight hierarchies of a family of linear codes related to
12 pages