Abstract
An efficient table lookup decoding algorithm (TLDA), called the syndrome and syndrome difference decoding algorithm (SSDDA), is presented to decode the binary systematic (73, 37, 13) quadratic residue (QR) code, which has the error-correcting capability to correct up to six-bit errors. The essential concept of this algorithm is based on the property of the weight of syndrome and the weight of syndrome difference to greatly reduce the memory size of the lookup table. The proposed algorithm only requires a small lookup table, called the compact lookup table (CLT), which only consists of 8,473 syndromes and their corresponding error patterns. The memory size of the CLT is only about 2.55% of the lookup table proposed by Lin et al. A C++ program has been executed to check all error patterns of this QR code.
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