The covering radius of the (128,8) Reed-Muller code is 56 (Corresp.)
Johannes Mykkeltveit · IEEE Transactions on Information Theory · 1980
Letr_{i}be the covering radius of the(2^{i},i+ 1)Reed-Muller code. It is an open question whetherr_{2m+1}=2^{2_{m}}-2mholds for allm. It is known to be true form=0,1,2, and here it is shown to be also true form=3.