IEEE/ICACT20210136 Slide.20        [Big Slide]       Oral Presentation
For a QC-LDPC code, its parity check matrix H consists of circulant permutation matrices and zero matrices. Let Z be the size of the circulant permutation matrix. Q(alpha) is obtained by cyclic shifting the Z*Z identity matrix I to the right by alpha position. The product of Q(alpha) and a Z*1 vector p is the vector obtained by cyclic shifting p by alpha positions. The bits in each vector can be calculated in parallel.

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