VI-2 class of Hamming weight of -aryq linear codes with dimension 5 |
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Authors: | Guo-xiang HU Huan-guo ZHANG |
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Affiliation: | 1. School of Computer, Wuhan University, Wuhan 430072, China;2. School of Mathematics and Statistics, South-Central University for Nationalities, Wuhan 430074, China |
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Abstract: | The Hamming 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 weight of an r-dimensional subcode of c.According to some new necessary conditions,the VI class Hamming weight hierarchies of q -ary linear codes of dimension 5 can be divided into six subclasses. By using the finite projective geometry method, VI-2 subclass and determine were researched almost all weight hierarchies of the VI-2 subclass of weight hierarchies of q -ary linear codes with dimension 5. |
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Keywords: | Hamming weight linear codes difference sequence projective geometry |
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