What question did this study set out to answer?

This research aims to determine the optimal parameters for additive quaternary codes of dimensions 3.5 and 4, expanding on earlier findings in lower dimensions.

June 28, 2026Open Access

Optimal additive quaternary codes of dimension 3.5 and 4

Puntos clave

This research aims to determine the optimal parameters for additive quaternary codes of dimensions 3.5 and 4, expanding on earlier findings in lower dimensions.
Completed analysis of dimensions k=3.5 and k=4.
Addressed optimal parameters for arbitrary dimensions with large minimum distance.
Established optimal parameters for dimensions k=3.5 and k=4.
Provided solutions for additive quaternary codes with arbitrary dimensions under large minimum distance conditions.

Resumen

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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Cite This Study

Sascha Kurz (Thu,) studied this question.

synapsesocial.com/papers/6a40b8ed61bb0a67205c559a https://doi.org/https://doi.org/10.55630/sjc.2025.19.37-71

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