$ s $-PD-sets for codes from projective planes $ \mathrm{PG}(2,2^h) $, $ 5 \leq h\leq 9 $

Abstract

In this paper we construct 2-PD-sets of 16 elements for codes from the Desarguesian projective planes PG(2, q), where q = 2 h and 5 ≤ h ≤ 9. We also construct 3-PD-sets of 75 elements for the code from the Desarguesian projective plane PG(2, q), where q = 2 9. These 2-PD-sets and 3-PD-sets can be used for partial permutation decoding of codes obtained from the Desarguesian projective planes.