The Newton radius of codes
For a binary linear code C of minimum distance d, if t > (d - 1)/2, then there are errors of weight t which are not uniquely correctable. However, in many cases there are also errors of weight t which are uniquely correctable. The Newton radius of a code is defined to be the largest weight of a uniquely correctable error. Bounds and exact values of the Newton radius are given for several classes of codes.
newton radius covering radius error correction reed-muller codes simplex codes