Title data
Cossidente, Antonio ; Kurz, Sascha ; Marino, Giuseppe ; Pavese, Francesco:
Combining subspace codes.
Bayreuth
,
2019
. - 17 S.
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Abstract
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: | Preprint, postprint |
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Keywords: | constant-dimension subspace code; finite projective geometry; network coding |
Subject classification: | Mathematics Subject Classification Code: 51E20 (05B25 94B65) |
DDC Subjects: | 000 Computer Science, information, general works > 004 Computer science 500 Science > 510 Mathematics |
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 |
Language: | English |
Originates at UBT: | Yes |
URN: | urn:nbn:de:bvb:703-epub-4528-4 |
Date Deposited: | 11 Nov 2019 14:06 |
Last Modified: | 11 Nov 2019 14:06 |
URI: | https://epub.uni-bayreuth.de/id/eprint/4528 |
Available Versions of this Item
- Combining subspace codes. (deposited 11 Nov 2019 14:06) [Currently Displayed]