Titlebar

Export bibliographic data
Literature by the same author
plus on the publication server
plus at Google Scholar

 

Classification of Δ-divisible linear codes spanned by codewords of weight Δ

DOI zum Zitieren der Version auf EPub Bayreuth: https://doi.org/10.15495/EPub_UBT_00005227
URN to cite this document: urn:nbn:de:bvb:703-epub-5227-8

Title data

Kiermaier, Michael ; Kurz, Sascha:
Classification of Δ-divisible linear codes spanned by codewords of weight Δ.
Bayreuth , 2021 . - 12 S.

[img]
Format: PDF
Name: delta_divisible_spanned_by_delta.pdf
Version: Published Version
Available under License Creative Commons BY 4.0: Attribution
Download (302kB)

Abstract

We classify all q-ary Δ-divisible linear codes which are spanned by codewords of weight Δ. The basic building blocks are the simplex codes, and for q=2 additionally the first order Reed-Muller codes and the parity check codes. This generalizes a result of Pless and Sloane, where the binary self-orthogonal codes spanned by codewords of weight 4 have been classified, which is the case q=2 and Δ=4 of our classification. As an application, we give an alternative proof of a theorem of Liu on binary Δ-divisible codes of length 4Δ in the projective case.

Further data

Item Type: Preprint, postprint
Keywords: linear codes; divisible codes; classification
Subject classification: Mathematics Subject Classification Code: 94B05
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 Mathematics II (Computer Algebra) > Chair Mathematics II (Computer Algebra) - Univ.-Prof. Dr. Michael Stoll
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematical Economics
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematical Economics > Chair Mathematical Economics - Univ.-Prof. Dr. Jörg Rambau
Faculties
Language: English
Originates at UBT: Yes
URN: urn:nbn:de:bvb:703-epub-5227-8
Date Deposited: 19 Jan 2021 08:17
Last Modified: 19 Jan 2021 08:17
URI: https://epub.uni-bayreuth.de/id/eprint/5227

Downloads

Downloads per month over past year