Near-MDS codes of lengths q+6 and q+7 from conics in PG(2,q), q odd

Sinan Donmez, Atilla Akpinar, Rumi Melih Pelen

Near maximum distance separable (NMDS) codes of dimension 3 and length n over the finite field with q elements are equivalent to (n,3)-arcs in PG(2,q). For every odd prime power q…