On the Hamming distance properties of group codes
G. David Forney · IEEE Transactions on Information Theory · 1992
Under certain mild conditions, the minimum Hamming distance D of an (N, K, D) group code C over a non-abelian group G is bounded by DN/2. Consequently, there exists no (N, K, N-K+1) group code C over an non-abelian group G if 1>