Cooperative H-ARQ employing powerful totally decomposed cumulative Goppa codes

This paper presents a multi-relay Coded-Cooperative system that integrates Hybrid Automatic Repeat Request and Coded Cooperative Cooperation. It utilizes powerful cyclic Totally Decomposed Cumulative Goppa codes (TDCG codes) known for exceptional performance as best-known linear codes. The destination code is jointly designed by combining TDCG codes from relay and source codes. Optimized relay channel codes improve overall system bit-error-rate performance, aided by a proposed optimization technique. Numerical simulations assess BER performance under various channel conditions with BPSK modulation and coherence detection over flat Rayleigh fading channels. Results show that the TDCG coded-cooperative scheme outperforms non-cooperative approaches and similar coded cooperation techniques with comparable code rates. The integration of HARQ and Coded Cooperative Cooperation enhances wireless communication system reliability and efficiency.