Method communication system and phone for systematic encoding and computationally efficient decoding for minimizing error propagation

A method of efficiently producing an estimate of input data signals in a communication system, comprising the steps of:

• receiving input data signals comprising a first plurality of data bits;
• generating systematically Golay encoded data signals comprising the first plurality of data bits and a first plurality of parity bits;
• generating values defining the systematically Golay encoded data signals;
• decoding the values defining the systematically Golay encoded data signals into a second plurality of data bits;
• transforming the second plurality of data bits into an estimate of the first plurality of data bits, wherein the estimate of the first plurality of data bits and the second plurality of data bits are equal in number.

A phone for receiving encoded data signals generated by a systematic encoder adapted to receive input data signals having a first plurality of data bits, comprising:

• a receiver adapted to receive the encoded data signals and to generate values defining the encoded data signals;
• a decoder coupled to the receiver and adapted to generate a second plurality of data bits in response to the values defining the encoded data signals;
• and
• a post-decoder circuit coupled to the decoder adapted to receive the second plurality of data bits and for transforming the second plurality of data bits into an estimate of the first plurality of data bits, wherein the estimated of the first plurality of data bits and the second plurality of data bits are equal in number.