Binary Hamming codes…
The Hamming(7,4) code (with r = 3)…
Named afterRichard W. Hamming
Classification…
TypeLinear block code
Block length2 − 1 where r ≥ 2
Message length2 − r − 1
Rate1 − ⁠r/(2 − 1)⁠
Distance3
Alphabet size2
Notation[2 − 1, 2 − r − 1, 3]-code
Properties…
perfect code…

(echo:: @ ᯤ)