An encoder of a storage medium encodes data subject to a read operation specified by a storage controller by generating a plurality of symbols representing a soft data stream corresponding to the data subject to the read operation, where each symbol of the plurality of symbols includes (i) a single-bit value number indicating whether the symbol counts 0s or 1s, and (ii) an N-bit count number indicating a bit count associated with the symbol, where N is greater than or equal to two, and the encoder of the storage medium is configured to convey the plurality of generated symbols to the storage controller via electrical interface circuitry connecting the storage medium and the storage controller.