Partial permutation decoding for codes from ovals

Jirapha Limbupasiriporn1
1Department of Mathematics, Faculty of Science, Silpakorn University, Nakorn Pathom 73000, Thailand

Abstract

In finite desarguesian projective planes of prime power order \(q\), we consider the MDS codes obtained from ovals and generate new codes for the purpose of permutation decoding. We show that those new codes are \([q^2-1,3,(q-1)^2]_q\) codes and have \(s\)-PD-sets for \(s\le q-1\).

Keywords: projective planes, ovals, linear codes, MDS codes, permutation decoding