Perfect shuffle permutation-concept of permutation network, Computer Networking

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Perfect Shuffle Permutation

This was advised by Harold Stone (1971). Consider N objects each characterized by n bit number say  Xn-1, Xn-2, X  (N is chosen such that N = 2n.)  The ideal shuffle of these N objects is expressed as

                                             X n-1, X n-2,  X0     = X n-2, X 0    X n-1.

                                  657_Perfect Shuffle Permutation.png

It means perfect shuffle is achieved by rotating the address by 1 bit left. E.g. shuffle of 8 objects is shown below as:-


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