Constructions and Bounds for Mixed-Dimension Subspace Codes

Title data

Honold, Thomas ; Kiermaier, Michael ; Kurz, Sascha:
Constructions and Bounds for Mixed-Dimension Subspace Codes.
Bayreuth , 2016 . - 35 S.

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Project information

Project title:

Project's official title	Project's id
Ganzzahlige Optimierungsmodelle für Subspace Codes und endliche Geometrie	No information

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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
Additional notes (visible to public):	erschienen in: Advances in Mathematics of Communications. Bd. 10 (August 2016) Heft 3 . - S. 649-682. DOI: https://doi.org/10.3934/amc.2016033
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:	28 May 2021 06:31
URI:	https://epub.uni-bayreuth.de/id/eprint/2922

Available Versions of this Item

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]