In this paper, we propose a Goppa coded-cooperative (GCC) diversity scheme for a single-relay setting where a source communicates with a destination with the help of a relay in a two-time-slot transmission. Two Goppa codes are distributed over the source and the relay terminals in order to construct a jointly designed channel code at the destination. In the multiple access phase, we consider an optimization design criterion at the relay, which is shown to greatly enhance the Bit Error Rate (BER) performance of the cooperative system. In this way, the source and the relay codes jointly contribute to building the best possible optimized code at the destination. To get the maximum coding gains from this joint construction, a joint decoding scheme is employed at the destination. We investigate the BER performance of the GCC diversity scheme for both the cooperative and non-cooperative schemes over the Rayleigh fading channel. Monte-Carlo simulations show that the proposed GCC scheme significantly outperforms the non-cooperation scheme.

在本文中，我们提出了一种用于单中继设置的 Goppa 编码合作 (GCC) 分集方案，其中源借助中继在两个时隙传输中与目标通信。两个 Goppa 码分布在源终端和中继终端上，以便在目的地构建一个联合设计的信道码。在多路访问阶段，我们考虑了中继的优化设计标准，这表明它可以大大提高协作系统的误码率（BER）性能。这样，源代码和中继代码共同有助于在目的地构建尽可能最佳的优化代码。为了从这种联合构造中获得最大的编码增益，在目的地采用联合解码方案。我们研究了合作和非合作方案在瑞利衰落信道上的 GCC 分集方案的 BER 性能。蒙特卡罗模拟表明，所提出的 GCC 方案明显优于非合作方案。