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A generalization of Kung's theorem
Trygve Johnsen, Keisuke Shiromoto, Hugues Verdure · 2015-05-21 · via cs.IT updates on arXiv.org

We give a generalization of Kung's theorem on critical exponents of linear codes over a finite field, in terms of sums of extended weight polynomials of linear codes. For all i=k+1,...,n, we give an upper bound on the smallest integer m such that there exist m codewords whose union of supports has cardinality at least i.

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