Weight hierarchies of a family of linear codes associated with degenerate quadratic forms

04/18/2018

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by   Fei Li, et al.

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We restrict the degenerate quadratic forms of a finite field to its subspaces and quotient spaces. And some related results on the subspaces and quotient spaces are obtained. Based on this, we solve the weight hierarchies of a family of linear codes relating to these degenerate quadratic forms.