Design Methods for Maximum Minimum-Distance Error-Correcting Codes
J. E. MacDonald · IBM Journal of Research and Development · 1960
In error-correcting codes for combating noisy transmission channels, a central concept is the notion of minimum distance. If a code can be constructed with minimum distance between code points of 2m+1, then any number of errors per code word which does not exceed m can be corrected, thus increasing the reliability of transmission above that to be expected with no redundancy in the code.