Algebraic structures of MRD Codes
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arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2015
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| Acceso en línea: | |
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| _version_ | 1866909821682319360 |
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| author | de la Cruz, Javier Kiermaier, Michael Wassermann, Alfred Willems, Wolfgang |
| author_facet | de la Cruz, Javier Kiermaier, Michael Wassermann, Alfred Willems, Wolfgang |
| contents | Based on results in finite geometry we prove the existence of MRD codes in (F_q)_(n,n) with minimum distance n which are essentially different from Gabidulin codes. The construction results from algebraic structures which are closely related to those of finite fields. Some of the results may be known to experts, but to our knowledge have never been pointed out explicitly in the literature. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1502_02711 |
| institution | arXiv |
| publishDate | 2015 |
| record_format | arxiv |
| spellingShingle | Algebraic structures of MRD Codes de la Cruz, Javier Kiermaier, Michael Wassermann, Alfred Willems, Wolfgang Information Theory Combinatorics Rings and Algebras 94B99, 16Y60 (Primary), 15B33 (Secondary) Based on results in finite geometry we prove the existence of MRD codes in (F_q)_(n,n) with minimum distance n which are essentially different from Gabidulin codes. The construction results from algebraic structures which are closely related to those of finite fields. Some of the results may be known to experts, but to our knowledge have never been pointed out explicitly in the literature. |
| title | Algebraic structures of MRD Codes |
| topic | Information Theory Combinatorics Rings and Algebras 94B99, 16Y60 (Primary), 15B33 (Secondary) |
| url | https://arxiv.org/abs/1502.02711 |