Linear codes from Denniston maximal arcs

Abstract

In this paper we construct functional codes from Denniston maximal arcs. For $$q=2^{4\ell +2}$$ we obtain linear codes with parameters $$[(\sqrt{q}-1)(q+1),5,d]_q$$ where $$\lim _{q \rightarrow +\infty } d=(\sqrt{q}-1)q-\sqrt{q}$$ . 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.