Sascha Kurz

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cs.IT2024

Additive codes attaining the Griesmer bound

Sascha Kurz

Additive codes may have better parameters than linear codes. However, still very few cases are known and the explicit construction of such codes is a challenging problem. Here we s…

math.CO2024

Optimal additive quaternary codes of dimension $3.5$ and $4$

Sascha Kurz

After the optimal parameters of additive quaternary codes of dimension $k \leq 3$ have been determined there is some recent activity to settle the next case of dimension $k = 3.5$ . Her…

Additive codes attaining the Griesmer bound

Optimal additive quaternary codes of dimension 3.5 and 4

Optimal additive quaternary codes of dimension $3.5$ and $4$