Device, system and method for efficient coset decoder by transform

Abstract

A device, system and method for decoding. A noisy version of an error correction codeword may be received, for example, over a noisy communication channel or retrieved from a memory device (e.g. a flash memory device). One or more symbol probabilities may be transformed, from an initial domain to a transformed domain, the symbol probabilities being one or more individual symbols of the received error correction codeword were transmitted as one or more symbols in candidate transmitted error correction codewords. In the transformed domain, a plurality of the transformed symbol probabilities may be composed to generate a combined coset probability defining the likelihood that the transmitted error correction codeword is associated with the individual symbols belongs to a particular one of a plurality of candidate cosets. A plurality of the coset probabilities for the plurality of respective cosets may be inverse transformed from the transformed domain to the initial domain.