A new class of nested linear block code is introduced. The codes of this cl
ass, referred to as nested codes. cover a wide range of code length and rat
es. The parity check matrix of a nested code is constructed from two other
linear block codes. Although the rates of the resulting codes are not optim
al. the codes nevertheless exhibit some useful properties: in particular. t
hey have a well-defined mathematical structure. which leads to a fast and s
imple decoding algorithm.