Graph representations of BCH codes in frequency domain

A trellis and a Wiberg-like graph for a Bose-Chaudhuri-Hochquenghem (BCH) code in frequency domain are proposed and thus the concept of codes defined on graphs is extended from time domain to frequency domain. And a decoding algorithm on trellis in frequency domain is presented by introducing a concept of syndrome trellis. Finally, Comparisons of graph representations of BCH codes in time domain and frequency domain are also discussed.