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Computer classification of linear codes

DOI zum Zitieren der Version auf EPub Bayreuth: https://doi.org/10.15495/EPub_UBT_00004618
URN to cite this document: urn:nbn:de:bvb:703-epub-4618-4

Title data

Bouyukliev, Iliya ; Bouyuklieva, Stefka ; Kurz, Sascha:
Computer classification of linear codes.
Bayreuth , 2020 . - 18 S.

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Abstract

We present algorithms for classification of linear codes over finite fields, based on canonical augmentation and on lattice point enumeration. We apply these algorithms to obtain classification results over fields with 2, 3 and 4 elements. We validate a correct implementation of the algorithms with known classification results from the literature, which we partially extend to larger ranges of parameters.

Further data

Item Type: Preprint, postprint
Keywords: linear code; classification; enumeration; code equivalence; lattice point enumeration; canonical augmentation
Subject classification: Mathematics Subject Classification Code: 94B05 (05E20)
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 > 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-4618-4
Date Deposited: 19 Feb 2020 07:13
Last Modified: 19 Feb 2020 07:13
URI: https://epub.uni-bayreuth.de/id/eprint/4618

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