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 X_n-1, X_n-2, X₀ (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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