Title data
Bouyukliev, Iliya ; Bouyuklieva, Stefka ; Kurz, Sascha:
Computer classification of linear codes.
Bayreuth
,
2020
. - 18 p.
DOI: https://doi.org/10.15495/EPub_UBT_00004618
Abstract in another language
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 |
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Keywords: | linear code; classification; enumeration; code equivalence; lattice point enumeration; canonical augmentation |
Subject classification: | Mathematics Subject Classification Code: 94B05 (05E20) |
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 |
Result of work at the UBT: | Yes |
DDC Subjects: | 000 Computer Science, information, general works > 004 Computer science 500 Science > 510 Mathematics |
Date Deposited: | 22 Feb 2020 22:00 |
Last Modified: | 24 Feb 2020 07:13 |
URI: | https://eref.uni-bayreuth.de/id/eprint/54388 |