Decoding a signal based on soft syndrome decoding techniques

A modem of a wireless device, comprising:

• one or more memories storing processor-executable code;
• and
• one or more processors coupled with the one or more memories and individually or collectively operable to execute the code to cause the modem of a wireless device to:
• receive a signal comprising a plurality of encoded bits;
• generate, from the signal, a plurality of log likelihood ratios of the plurality of encoded bits, wherein the plurality of log likelihood ratios comprise a sign vector associated with the plurality of log likelihood ratios and a plurality of log likelihood ratio magnitudes associated with the plurality of log likelihood ratios;
• compute a plurality of syndromes based at least in part on the sign vector;
• output the plurality of syndromes and the plurality of log likelihood ratio magnitudes;
• obtain an error vector based at least in part on the plurality of syndromes and the plurality of log likelihood ratio magnitudes;
• and
• output a plurality of information bits based at least in part on the error vector and the sign vector.

A decoder, comprising:

• one or more memories storing processor-executable code;
• and
• one or more processors coupled with the one or more memories and individually or collectively operable to execute the code to cause the decoder to:
• obtain a plurality of syndromes associated with a signal and a plurality of log likelihood ratio magnitudes that correspond to a plurality of log likelihood ratios associated with the signal, the signal comprising a plurality of encoded bits, wherein the plurality of log likelihood ratios and the plurality of syndromes are associated with the plurality of encoded bits;
• compute an error vector based at least in part on the plurality of syndromes and the plurality of log likelihood ratio magnitudes;
• and
• output the error vector.