Abstract
Finite projective geometry method is effectively used to study the relative generalized Hamming weights of 4-dimensional linear codes, which are divided into 9 classes in order to get much more information about the relative generalized Hamming weights, and part of the relative generalized Hamming weights of a 4-dimensional linear code with a 1-dimensional subcode are determined.
| Original language | English |
|---|---|
| Pages (from-to) | 821-832 |
| Number of pages | 12 |
| Journal | Journal of Systems Science and Complexity |
| Volume | 25 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - Aug 2012 |
Keywords
- Generalized Hamming weight
- relative difference sequence
- relative generalized Hamming weight
- support weight
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Liu, Z., & Chen, W. (2012). On the relative generalized hamming weights of a 4-dimensional linear code and a subcode with dimension one. Journal of Systems Science and Complexity, 25(4), 821-832. https://doi.org/10.1007/s11424-012-0192-4