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Database with linear codes

Name: Database with linear codes
Keywords: Linear codes, classification, canonical augmentation, lattice point enumeration, code equivalence, enumeration

Research datakeyboard_double_arrow_right Dataset 23 Jul 2020Publisher:Zenodo

Authors: Bouyukliev, Iliya; Bouyuklieva, Stefka; Kurz, Sascha;

doi: 10.5281/zenodo.3957235 , 10.5281/zenodo.3957236

Database with linear codes

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Abstract

This data set contains generator matrices of linear codes classified with the programs Generation and LinCode. The results are presented in the paper "Computer classification of linear codes" by Iliya Bouyukliev, Stefka Bouyuklieva and Sascha Kurz in tables as numbers of inequivalent codes with the corresponding parameters. The classification results from each table are given in a separate directory consisting of files with generator matrices of the classified codes with certain length and dimension. For example, generator matrices of the enumerated ternary $[16,5,\ge 6]$ self-orthogonal codes are listed in a file named '16_5.rrr' in the folder "SOcodes_F3". The form of the matrices is the same as that used in Q-Extension.

Related Organizations

University of Bayreuth
Germany
St. Cyril and St. Methodius University of Veliko Tarnovo
Bulgaria
Institute of Mathematics and Informatics
Bulgaria
Bulgarian Academy of Sciences
Bulgaria

Keywords

Linear codes, classification, canonical augmentation, lattice point enumeration, code equivalence, enumeration

1 Research products, page 1 of 1

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