The joint weight enumerator of an LCD code and its dual
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| Title: | The joint weight enumerator of an LCD code and its dual |
|---|---|
| Authors: | Dutour Sikirić, Mathieu |
| Source: | Discrete applied mathematics. 257:12-18 |
| Publisher Information: | 2019. |
| Publication Year: | 2019 |
| Subject Terms: | Linear binary code, Linear programming bounds, LCD code |
| Description: | A binary linear code is called LCD if it intersects its dual trivially. We show that the coefficients of the joint weight enumerator of such a code with its dual satisfy linear constraints, leading to a new linear programming bound on the size of an LCD code of given length and minimum distance. In addition, we show that this polynomial is, in general, an invariant of a matrix group of dimension 4 and order 12. Also, we sketch a Gleason formula for this weight enumerator. |
| Document Type: | Other literature type |
| ISSN: | 0166-218X |
| DOI: | 10.1016/j.dam.2018.10.03210.1016/j.dam.2018.10.032 |
| Accession Number: | edsair.dris...01492..29edb068e4db713e658c1c866e63de6e |
| Database: | OpenAIRE |
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