Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: The (23,12,7) Golay code is a perfect linear error-correcting code that can correct all patterns of three or fer errors in 23 bit positions. A simple BCH decoding algorithm, given in E. Berlekamp (1968), can decode the (23,12,7) Golay code provided there are no more than two errors. The shift-search algorithm, developed by Reed et a. (1990), sequentially inverts the information bits until the third error is canceled. It then utilizes the BCH decoding algorithm to correct the remaining two errors.  a simplified decoding algorithm, called the reliability-search algorithm, is proposed. This algorithm uses bit-error probability estimates to cancel the third error and then uses the BCH decoding algorithm to correct the remaining two errors. Simulation results show that this new algorithm significantly reduces the decoding complexity for correcting the third error while maintaining the same BER performance.
['Gregory O. Dubney', 'Irving S. Reed']
I am writing a research paper on a idea Decoding the (23,12,7) Golay code using bit-error probability estimates
[{"from": "human", "value": "I am writing a research paper on a idea Decoding the (23,12,7) Golay code using bit-error probability estimates"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: The (23,12,7) Golay code is a perfect linear error-correcting code that can correct all patterns of three or fer errors in 23 bit positions. A simple BCH decoding algorithm, given in E. Berlekamp (1968), can decode the (23,12,7) Golay code provided there are no more than two errors. The shift-search algorithm, developed by Reed et a. (1990), sequentially inverts the information bits until the third error is canceled. It then utilizes the BCH decoding algorithm to correct the remaining two errors.  a simplified decoding algorithm, called the reliability-search algorithm, is proposed. This algorithm uses bit-error probability estimates to cancel the third error and then uses the BCH decoding algorithm to correct the remaining two errors. Simulation results show that this new algorithm significantly reduces the decoding complexity for correcting the third error while maintaining the same BER performance."}]