the Hamming codes are also optimal systematic single asymmetric error-correcting codes. For the cases n=2/sup r/ and n=2/sup r/+1, r/spl ges/4, when not all information words are used, two efficient ...

A family F of subsets of [n] = {1, ..., n} is an r-single-user-tracing superimposed code (r-SUT) if there exists such a single-user-tracing function /spl phi/:2/sup [n]/ /spl rarr/ F that for all F' ...