Higher Weights of Anticodes and the Generalized Griesmer Bound |
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Authors: | Dmitrii Yu Nogin |
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Institution: | Institute for Information Transmission Problems, Moscow, Russiaf1 |
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Abstract: | We show that the minimum r-weight dr of an anticode can be expressed in terms of the maximum r-weight of the corresponding code. As examples, we consider anticodes from homogeneous hypersurfaces (quadrics and Hermitian varieties). In a number of cases, all differences (except for one) of the weight hierarchy of such an anticode meet an analog of the generalized Griesmer bound. |
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