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Several semi-parallel decoding architectures have been explored by researchers for the quasi-cyclic low density parity check (LDPC) codes. In these architectures, the reconfigurability was seldom studied. In most of the published work, the shuffle network between the log-likelihood ratio (LLR) memory and the check- node units (CNU) is predetermined and optimized for a specific code. However, the most of the modern wireless communication systems typically specify multiple code-rates, codeword lengths and sub-matrix sizes (for the QC-LDPC codes) to provide and guarantee quality-of-service (QoS) over challenging channel conditions. It is therefore desirable to define a reconfigurable decoder architecture that can support different parameters. This paper proposes an adaptive shuffling algorithm for QC-LDPC codes which together with the Benes network provides arbitrary cyclic shift for arbitrary submatrix size smaller than the input size of the Benes network. For the submatrix size larger than the Benes network input size, the proposed algorithm can be extended to obtain the cyclic shift in multiple stages. Compared with the direct implementation of m m-to-1 multiplexers, the proposed algorithm achieves significant savings on area and routing complexity.