Minimum Distance of New Generalizations of the Punctured Binary Reed-Muller Codes

Liqin Hu, Keqin Feng

Motivated by applications in combinatorial design theory and constructing LCD codes, C. Ding et al \cite{DLX} introduced cyclic codes $\mho (q,m,h)$ and $\bar{\mho }(q,m,h)$ over $\mat…