The structure of Reed-Muller and generalised Reed-Muller transform matrices is discussed and in particular their description in terms of the Kronecker matrix product of basic forms is explained. The use of map-entered variables to enable function maps to be folded into smallerdimension structures, thereby easing the transform process, is investigated. Methods for term-by-term transformation which are particularly suited to sparse functions are presented and it is shown that these can be incorporated into the procedures for handling incompletely specified operationaldomain descriptions. The more general problem of deducing the optimum-polarity expansion of such functions is also considered.
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