Optimal additive quaternary codes of dimension 3.5 and 4

Titelangaben

Kurz, Sascha:
Optimal additive quaternary codes of dimension 3.5 and 4.
In: Serdica Journal of Computing. Bd. 19 (2025) Heft 1 . - S. 37-71.
ISSN 1312-6555
DOI: https://doi.org/10.55630/sjc.2025.19.37-71

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Abstract

After the optimal parameters of additive quaternary codes of dimension k<=3 have been determined, there was some activity to settle the next case of dimension k=3.5. Here we complete dimensions k=3.5 and k=4. We also solve the problem of the optimal parameters of additive quaternary codes of arbitrary dimension when assuming a sufficiently large minimum distance.