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Combining subspace codes

DOI zum Zitieren der Version auf EPub Bayreuth: https://doi.org/10.15495/EPub_UBT_00004843
URN to cite this document: urn:nbn:de:bvb:703-epub-4843-3

Title data

Cossidente, Antonio ; Kurz, Sascha ; Marino, Giuseppe ; Pavese, Francesco:
Combining subspace codes.
Bayreuth , 2020 . - 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
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-4843-3
Date Deposited: 08 May 2020 06:48
Last Modified: 08 May 2020 06:53
URI: https://epub.uni-bayreuth.de/id/eprint/4843

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