Abstract
SummaryWe investigate the use of Low Rank Parity Check Codes, originally designed for cryptography applications in the context of Power Line Communication. Particularly, we propose a new code design and an efficient probabilistic decoding algorithm. The main idea of decoding Low Rank Parity Check Codes is based on calculations of vector spaces over a finite field . Low Rank Parity Check Codes can be seen as the identical of Low Density Parity check codes. We compare the performance of this code against the Reed‐Solomon Code through a Power Line Communication channel.
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