| CPC H03M 13/1148 (2013.01) [H03M 13/1105 (2013.01)] | 20 Claims | 

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               1. A coding circuit comprising: 
            an encoder circuit configured to generate parity by applying input data to a parity generating matrix and generate input codeword by concatenating the input data and the parity; and 
                a decoder circuit configured to detect and correct an out-of-boundary 2-bit error using syndromes, the out-of-boundary 2-bit error corresponding to two 1-bit errors occurred at two symbols respectively among a plurality of symbols included in output codeword, the syndromes being generated by applying the output codeword to the parity generating matrix. 
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