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In this paper, a very high-throughput and area efficient hardware decoder of the binary (23, 12, 7) Golay code is presented. The key feature of this proposed algorithm is fast determination of the error positions through the analysis on the weight of syndromes without large operations of finite fields. Comparing with the algorithm using one syndrome, the proposed algorithm is more suitable for the...
This work presents a novel reconfigurable Galois field multiplier embedded in a dynamically reconfigurable processor for real time programmable Reed Solomon (RS) encoder and decoder targeting various communication standards. The fundamental operation in Reed-Solomon encoding and decoding is the multiplication over Galois field (GF). The reconfigurable GF multiplier with single instruction multiple...
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