Minimum-weight codewords as generators of generalized Reed-Muller codes
Peng Ding, Jennifer D. Key · IEEE Transactions on Information Theory · 2000
We establish the range of values of /spl rho/, where 0/spl les//spl rho//spl les/m(q-1), for which the generalized Reed-Muller code R/sub Fq/(/spl rho/, m) of length q/sup m/ over the field F/sub q/ of order q is spanned by its minimum-weight vectors.