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Computer classification of linear codes

Title data

Bouyukliev, Iliya ; Bouyuklieva, Stefka ; Kurz, Sascha:
Computer classification of linear codes.
In: IEEE Transactions on Information Theory. Vol. 67 (December 2021) Issue 12 . - pp. 7807-7814.
ISSN 0018-9448
DOI: https://doi.org/10.1109/TIT.2021.3114280

Official URL: Volltext

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: Article in a journal
Refereed: Yes
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
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 Nov 2021 12:40
Last Modified: 22 Nov 2021 12:40
URI: https://eref.uni-bayreuth.de/id/eprint/67961