Linear subcodes of turbo codes with improved distance spectra

Abstract—In this correspondence, we present a technique for generation of linear subcodes of a given turbo code with better distance spectrum than the original mother turbo code, via an iterative process of trace-bit injection which minimallyr educes code rate, followed byselecti ve puncturing that allows recoveryof the rate loss incurred during the trace-bit injection. The technique allows for asymptotic performance improvement of any linear turbo code. In effect, we trim the distance spectrum of a turbo code via elimination of the lowdistance and/or high multiplicitycodew ords from the output space of the code. To this end, we perform a greedyminimization of a cost function closelyr elated to the asymptotic bit error probability (or frame error probability) of the code. This improves the performance of the code everywhere, but its main impact is a reduction in the error floor of the turbo code which is important for delayconstrained applications employing short interleavers.