## Title data

de la Cruz, Javier ; Kiermaier, Michael ; Wassermann, Alfred ; Willems, Wolfgang:

**Algebraic structures of MRD codes.**

*In:* Advances in Mathematics of Communications.
Vol. 10
(2016)
Issue 3
.
- pp. 499-510.

ISSN 1930-5346

DOI: https://doi.org/10.3934/amc.2016021

## Abstract in another language

Based on results in nite 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.

## Further data

Item Type: | Article in a journal |
---|---|

Refereed: | Yes |

Keywords: | MRD codes; rank distance; network coding; quasifields; semifields |

Subject classification: | Mathematics Subject Classification: Primary: 94B99, 16Y60; Secondary: 15B33 |

Institutions of the University: | Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics II Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics and Didactics Faculties Faculties > Faculty of Mathematics, Physics und Computer Science Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics |

Result of work at the UBT: | Yes |

DDC Subjects: | 500 Science > 510 Mathematics |

Date Deposited: | 06 Sep 2016 13:31 |

Last Modified: | 07 Oct 2016 06:09 |

URI: | https://eref.uni-bayreuth.de/id/eprint/34623 |