Modal analysis of linear nonbinary block codes used on stochastic finite state channels

摘要

An analytical method for an exact evaluation of the coset probabilities of algebraically decoded linear nonbinary block codes used on stochastic finite state channels is presented. The analysis can be performed in a transform domain showing an easy computational structure. The transform coefficients are connected with the coset probabilities by a complex generalization of the Walsh-Hadamard-transformation.