Weight hierarchies of linear codes of dimension 3 |
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| Institution: | 1. Institute of Systems Science, Academia Sinica and State Laboratory of Information Security, Graduate School of Academia Sinica, Beijing 100080, People''s Republic of China, China;2. Department of Informatics, University of Bergen HIB, N-5020 Bergen, Norway |
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| Abstract: | The weight hierarchy of a linear n,k;q] code C over GF(q) is the sequence (d1,d2,…,dk), where dr is the smallest support of an r-dimensional subcode of C. The weight hierarchies of n,3;q] codes are studied. In particular, for q⩽5 the possible weight hierarchies of n,3;q] codes are determined. |
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