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Design of optimized distributed Goppa codes and joint decoding at the destination

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Abstract

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.

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Acknowledgements

This work was supported by National Natural Science Foundation of China under the Grant Number 61771241.

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Authors and Affiliations

  1. College of Electronic and Information Engineering, Nanjing University of Aeronautics and Astronautics, 29, Nanjing, 210016, Jiangsu, China

    Daniel Kariuki Waweru, Fengfan Yang, Chunli Zhao & Lawrence Muthama Paul

  2. School of Engineering, University of KwaZulu-Natal, King George V Avenue, Durban, 4041, South Africa

    Hongjun Xu

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  1. Daniel Kariuki Waweru
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  2. Fengfan Yang
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  3. Chunli Zhao
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  4. Lawrence Muthama Paul
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Correspondence to Daniel Kariuki Waweru.

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Waweru, D.K., Yang, F., Zhao, C. et al. Design of optimized distributed Goppa codes and joint decoding at the destination. Telecommun Syst 81, 341–355 (2022). https://doi.org/10.1007/s11235-022-00948-5

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