at Google ScholarTitle data
Feng, Tao ; Kurz, Sascha ; Liu, Shuangqing:
Bounds for the multilevel construction.
Bayreuth
,
2021
. - 95 p.
DOI: https://doi.org/10.15495/EPub_UBT_00005691
This is the latest version of this item.
Abstract in another language
One of the main problems in random network coding is to compute good lower and upper bounds on the achievable cardinality of the so-called subspace codes in the rojective space PG(n,q) for a given minimum distance. The determination of the exact maximum cardinality is a very tough discrete optimization problem involving a huge number of symmetries. Besides some explicit constructions for good subspace codes several of the most successfull constructions involve the solution of discrete optimization subproblems itself, which mostly have not been not been solved systematically. Here we consider the multilevel a.k.a. Echelon--Ferrers construction and given lower and upper bounds for the achievable cardinalities. From a more general point of view, we solve maximum clique problems in weighted graphs, where the weights can be polynomials in the field size of size q.
Further data
| Item Type: | Preprint, postprint |
|---|---|
| Keywords: | Galois geometry; partial spreads; constant--dimension codes; subspace codes; subspace distance; Echelon-Ferrers construction; multilevel construction |
| Subject classification: | Mathematics Subject Classification Code: 51E23 (11T71 94B25) |
| Institutions of the University: | Faculties > Faculty of Mathematics, Physics und Computer Science 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 |
| Result of work at the UBT: | Yes |
| DDC Subjects: | 000 Computer Science, information, general works > 004 Computer science 500 Science > 510 Mathematics |
| Date Deposited: | 02 Jul 2021 06:53 |
| Last Modified: | 02 Jul 2021 06:53 |
| URI: | https://eref.uni-bayreuth.de/id/eprint/66413 |
Available Versions of this Item
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Bounds for the multilevel construction. (deposited 21 Nov 2020 22:00)
- Bounds for the multilevel construction. (deposited 02 Jul 2021 06:53) [Currently Displayed]