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Honold, Thomas ; Kiermaier, Michael ; Kurz, Sascha:
Constructions and Bounds for Mixed-Dimension Subspace Codes.
Bayreuth
,
2016
. - 35 S.
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Project information
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| Project financing: |
Deutsche Forschungsgemeinschaft |
Abstract
Codes in finite projective spaces with the so-called subspace distance as metric have been proposed for error control in random linear network coding. The resulting Main Problem of Subspace Coding is to determine the maximum size $A_q(v,d)$ of a code in $PG(v-1,F_q)$ with minimum subspace distance $d$. Here we completely resolve this problem for $d>=v-1$. For $d=v-2$ we present some improved bounds and determine $A_2(7,5)=34$.
Further data
| Item Type: | Preprint, postprint |
|---|---|
| Keywords: | Subspace code; network coding; partial spread |
| Subject classification: | Mathematics Subject Classification Code: 94B05 05B25 51E20 (51E14 51E22 51E23) |
| 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 Mathematics II (Computer Algebra) Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematical Economics Faculties |
| Language: | English |
| Originates at UBT: | Yes |
| Date Deposited: | 06 Jul 2016 09:15 |
| Last Modified: | 20 Mar 2019 11:19 |
| URI: | https://epub.uni-bayreuth.de/id/eprint/2922 |
Available Versions of this Item
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Constructions and Bounds for Mixed-Dimension Subspace Codes. (deposited 22 Dec 2015 10:47)
- Constructions and Bounds for Mixed-Dimension Subspace Codes. (deposited 06 Jul 2016 09:15) [Currently Displayed]
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