Two new best [27,10,9 ] codes

Abstract

This paper presents two new [27,10,9] binary linear block codes which reach the upper bound in [1] for best known codes. They have different spectra as the known [27,10,9] codes constructed by Piret [2], Farkaš and Juling [5].

Keywords

• block codes
• hamming distance
• weight spectrum
• generator matrix