## Title data

Cossidente, Antonio ; Kurz, Sascha ; Marino, Giuseppe ; Pavese, Francesco:

**Combining subspace codes.**

*In:* Advances in Mathematics of Communications.
Vol. 17
(June 2023)
Issue 3
.
- pp. 536-550.

ISSN 1930-5346

DOI: https://doi.org/10.3934/amc.2021007

## Abstract in another language

In the context of constant--dimension subspace codes, an important problem is to determine the largest possible size A_q(n,d;k) of codes whose codewords are k-subspaces of GF(q)^n with minimum subspace distance d. Here in order to obtain improved constructions, we investigate several approaches to combine subspace codes. This allow us to present improvements on the lower bounds for constant-dimension subspace codes for many parameters, including A_q(10,4;5), A_q(12,4;4), A_q(12,6,6) and A_q(16,4;4).

## Further data

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

Refereed: | Yes |

Keywords: | constant-dimension subspace code; finite projective geometry; network coding |

Subject classification: | Mathematics Subject Classification Code: 51E20 (05B25 94B65) |

Institutions of the University: | Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematical Economics |

Result of work at the UBT: | Yes |

DDC Subjects: | 000 Computer Science, information, general works > 004 Computer science 500 Science > 510 Mathematics |

Date Deposited: | 09 Feb 2023 08:27 |

Last Modified: | 09 Feb 2023 08:27 |

URI: | https://eref.uni-bayreuth.de/id/eprint/73628 |