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This paper discusses bit-level soft decoding of triple-parity Reed-Solomon(RS) codes through automorphism permutation. A new method for identifying theautomorphism groups of RS binary images is first developed. The new algorithmruns effectively, and can handle more RS codes and capture more automorphismgroups than the existing ones. Utilizing the automorphism results, a newbit-level soft-decision decoding algorithm is subsequently developed forgeneral $(n,n-3,4)$ RS codes. Simulation on $(31,28,4)$ RS codes demonstratesan impressive gain of more than 1 dB at the bit error rate of $10^{-5}$ overthe existing algorithms.

Bit Level Soft Decision Decoding of Triple Parity Reed Solomon Codes through Automorphism Groups