A general formulation of error matrices (Corresp.)
Solomon W. Golomb · IEEE Transactions on Information Theory · 1969
A general definition of error metrics is given, based on a distance function\mu(a, b)for symbols of the code alphabet, and extended to entire codewords by a Lebesgue normL_{\alpha}. It is shown that error metrics considered by Hamming, Lee, Shannon, and Stein are special cases, and a geometric interpretation of the "error spheres" for these metrics is presented.