Coding for the gaussian channel: The promise of weighted‐output decoding
Gérard Battail · International Journal of Satellite Communications · 1989
Abstract We introduce the concept of weighted‐output decoding, which enables us to perform many successive decodings without information loss. The design of a coding system for the additive white Gaussian channel can thus be viewed as a means for combining many simple codes. We illustrate this concept by the example of parity‐check codes which are combined according to Elias' iterated product. Examination of the performance thus obtained leads us to criticize the conventional minimal distance criterion and to propose as a criterion a proximity measure of the weight distribution of the code with respect to the binomial one. According to this point of view, the iterated product of parity‐check codes appears as a means of decimation of the set of n‐tuples.