Optimal additive quaternary codes of dimension 3.5 and 4

After the optimal parameters of additive quaternary codes of dimension k<=3 have been determined in [1], there was some activity to settle the next case of dimension k=3.5 [2,3]. 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.

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Publication Details

Journal
Serdica Journal of Computing
Published
2026-06-25
DOI
https://doi.org/10.55630/sjc.2025.19.37-71
Primary Topic
Coding theory and cryptography
Type
preprint
Field-Weighted Citation Impact
0.00
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preprint

Optimal additive quaternary codes of dimension 3.5 and 4

Sascha Kurz
Serdica Journal of Computing
Coding theory and cryptography
preprint

Optimal additive quaternary codes of dimension 3.5 and 4

Sascha Kurz
preprint en

Abstract

After the optimal parameters of additive quaternary codes of dimension k<=3 have been determined in [1], there was some activity to settle the next case of dimension k=3.5 [2,3]. 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.

Serdica Journal of ComputingVol. 19(1)
University of Bayreuth (DE)
Openalex Percentile: Top 100%
Coding theory and cryptography
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Optimal additive quaternary codes of dimension 3.5 and 4 — Sascha Kurz · Serdica Journal of Computing (2026) | TGRS Research Map | TGRS