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An Easily Controlled Network for Frequently Used Permutations

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2 Author(s)
Pen-Chung Yew ; Department of Computer Science, University of Illinois ; Lawrie, Duncan H.

A π network, which is a concatenation of 2 Ω networks [2], along with a simple control algorithm is proposed. This network is capable of performing all Ω network realizable permutations and the bit-permute-complement (BPC) class of permutations[5] in 0(log N) time. The control algorithm is actually a multiple-pass control algorithm on the Ω network, which is more general than Pease's LU decomposition method [6] and Lenfant's decomposition method[4].

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Computers, IEEE Transactions on  (Volume:C-30 ,  Issue: 4 )