Computer classification of linear codes

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Bouyukliev, Iliya ; Bouyuklieva, Stefka ; Kurz, Sascha:
Computer classification of linear codes.
Bayreuth , 2020 . - 18 S.
DOI: https://doi.org/10.15495/EPub_UBT_00004618

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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.