In general, a concatenated RS/BCH code consists of an outer RS code and an inner BCH code with separation by an interleaver. We create a novel BCS code using a new methodology by combining an outer BCH code with an inner RS code appended by an interleaver to randomize burst errors and help the RS code in correcting the errors. Generally, BCH codes handle binary data, whereas RS codes handle non-binary data. Hence, RS (7, 1) inner code is proposed to achieve compatibility with BCH (15, 5) outer codes and ultimately create a novel BCS code to handle binary data. The proposed BCS code is compared with familiar concatenated RS/BCH codes and single codes (RS and BCH) for BPSK and QPSK modulation schemes. Results show the downlink LTE system performance using the proposed BCS code is significantly better than the uncoded LTE system and single codes (RS and BCH). Moreover, the proposed BCS code also outperforms familiar concatenated RS/BCH codes for both schemes. In contrast, the system performance is improved further when the number of antennas in the MIMO channel is increased from \(2 \times 2\) to \(4 \times 4\). Therefore, the proposed BCS code can be considered a stronger code with high reliability in wireless communication systems.

通常，级联的RS / BCH码由外部RS码和内部BCH码组成，并由交织器隔开。我们通过将外部BCH代码与交织器附加的内部RS代码结合使用以创建新的BCS代码，以随机化突发错误并帮助RS代码纠正错误。通常，BCH代码处理二进制数据，而RS代码处理非二进制数据。因此，提出了RS（7，1）内部代码以实现与BCH（15，5）外部代码的兼容性，并最终创建一种新颖的BCS代码来处理二进制数据。将拟议的BCS码与熟悉的级联RS / BCH码和用于BPSK和QPSK调制方案的单个码（RS和BCH）进行比较。结果表明，使用建议的BCS代码的下行链路LTE系统性能明显优于未编码的LTE系统和单个代码（RS和BCH）。此外，对于这两种方案，建议的BCS代码还优于熟悉的级联RS / BCH代码。相反，当MIMO信道中的天线数量从\（2 \ times 2 \）到\（4 \ times 4 \）。因此，在无线通信系统中，所提出的BCS代码可以被认为是具有更高可靠性的更强代码。