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Constructions and Bounds for Mixed-Dimension Subspace Codes

URN to cite this document: urn:nbn:de:bvb:703-epub-2650-1

Title data

Honold, Thomas ; Kiermaier, Michael ; Kurz, Sascha:
Constructions and Bounds for Mixed-Dimension Subspace Codes.
Bayreuth , 2015 . - 28 S.

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Ganzzahlige Optimierungsmodelle für Subspace Codes und endliche Geometrie
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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
URN: urn:nbn:de:bvb:703-epub-2650-1
Date Deposited: 22 Dec 2015 10:47
Last Modified: 22 Dec 2015 10:47
URI: https://epub.uni-bayreuth.de/id/eprint/2650

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