Research and application of error correction theory for ternary optical computer based on Hamming code

Abstract

In the communication of ternary optical computer (TOC), channel failure can make the communication system restart and data retransmission too many times, resulting in wasted resources. We have done the following work to solve this problem: proposed a parity check code for TOC. And take it as the core to improve the ternary Hamming code theory. To realize the practical application of Hamming code, ternary logic gates (MIN gate, MAX gate, and NOT gate) are designed. The Hamming code error correction module is designed by taking ternary logic gates as the essential component. Compared with TOC without the error correction module, the Hamming code error correction module can improve tolerance of the TOC channel for occasional failures. It dramatically reduces the communication cost and the waste of resources. Finally, this paper designs a set of verification experiments of Hamming code theory to verify its correctness. The experimental results show that the bit error rate of TOC output results can be reduced by one order of magnitude after error correction by Hamming code error correction module.