Line Hermitian Grassmann Codes and their Parameters
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2017
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| _version_ | 1866915558796034048 |
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| author | Cardinali, Ilaria Giuzzi, Luca |
| author_facet | Cardinali, Ilaria Giuzzi, Luca |
| contents | In this paper we introduce and study line Hermitian Grassmann codes as those subcodes of the Grassmann codes associated to the $2$-Grassmannian of a Hermitian polar space defined over a finite field of square order.
In particular, we determine their parameters and characterize the words of minimum weight for $m\neq5$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1706_10255 |
| institution | arXiv |
| publishDate | 2017 |
| record_format | arxiv |
| spellingShingle | Line Hermitian Grassmann Codes and their Parameters Cardinali, Ilaria Giuzzi, Luca Combinatorics Information Theory 14M15, 94B27, 94B05 In this paper we introduce and study line Hermitian Grassmann codes as those subcodes of the Grassmann codes associated to the $2$-Grassmannian of a Hermitian polar space defined over a finite field of square order. In particular, we determine their parameters and characterize the words of minimum weight for $m\neq5$. |
| title | Line Hermitian Grassmann Codes and their Parameters |
| topic | Combinatorics Information Theory 14M15, 94B27, 94B05 |
| url | https://arxiv.org/abs/1706.10255 |