ИСТИНА

A receiver configured for use in a communication system, such as a magnetic recording channel, and having a soft-output channel detector provided with a soft-input/soft-output (SISO) modulation codec for parity bits of a block error-correction code. A transmitter of the communication system is configured to encode data by applying a modulation code to the parity bits that have been generated using the block error-correction code. The SISO modulation codec provides an interface between the soft-output channel detector and a parity-check decoder that enables decoding iterations between them in a manner that takes into account inter-bit correlations imposed by the modulation code. In some embodiments, the soft-output channel detector is configured to operate at a fractional rate and to process an input signal carrying non-binary symbols, and the parity-check decoder is configured to apply parity-check-based decoding that is based on a non-binary low-density parity-check code.