Title data
Cossidente, Antonio ; Kurz, Sascha ; Marino, Giuseppe ; Pavese, Francesco:
Combining subspace codes.
In: Advances in Mathematics of Communications.
Vol. 17
(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 Faculties Faculties > Faculty of Mathematics, Physics und Computer Science |
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: | 24 Aug 2023 06:31 |
URI: | https://eref.uni-bayreuth.de/id/eprint/73628 |