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arXiv · 1711.10478

Linear codes from Denniston maximal arcs

Daniele Bartoli·Massimo Giulietti·Maria Montanucci
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Abstract

In this paper we construct functional codes from Denniston maximal arcs. For $q=2^{4n+2}$ we obtain linear codes with parameters $[(\sqrt{q}-1)(q+1),5,d]_q$ where $\lim_{q \to +\infty} d=(\sqrt{q}-1)q-3\sqrt{q}$. We also find for $q=16,32$ a number of linear codes which appear to have larger minimum distance with respect to the known codes with same length and dimension.

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Daniele Bartoli, Massimo Giulietti, Maria Montanucci. 2017-11-28. Linear codes from Denniston maximal arcs. https://arxiv.org/abs/1711.10478

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