The present decoding technique provides an efficient technique for decoding linear block codes from multiple encoders. When an error in a code sequence is detected, the decoding technique estimates a confidence for each bit within the code sequence. Based on the confidence, a subset of bits within the code sequence is obtained. The subset of bits is then incrementally flipped to determine a set of modified code sequences. A syndrome is computed for each of the modified code sequences based on a preceding computed syndrome and an update vector.