An efficient routing algorithm for realizing linear permutations on p/sup t/-shuffle-exchange networks | IEEE Journals & Magazine | IEEE Xplore

An efficient routing algorithm for realizing linear permutations on p/sup t/-shuffle-exchange networks


Abstract:

The authors present an efficient routing algorithm for realizing any permutation in LIN (linear-permutation-class) on single-stage shuffle-exchange networks with k*k swit...Show More

Abstract:

The authors present an efficient routing algorithm for realizing any permutation in LIN (linear-permutation-class) on single-stage shuffle-exchange networks with k*k switching elements, where k=p is a prime number. For any positive integer number n there are N=k/sup n/ processors connected by the network. The proposed algorithm can realize LIN in 2n-1 passes; it can be implemented by using Nn processors in O(n) time. It can also be extended to the shuffle-exchange networks with (p/sup t/*p/sup t/) switching elements, where t is a positive integer number. In addition, the routing of any arbitrary permutations on the networks with any integer k>2 is discussed. Further, by using the techniques developed here, the authors present an optimal O(log n) parallel algorithm for solving a set of linear equations with a nonsingular coefficient matrix when the arithmetic is over the finite field GF(p/sup t/).<>
Published in: IEEE Transactions on Computers ( Volume: 40, Issue: 11, November 1991)
Page(s): 1292 - 1298
Date of Publication: 30 November 1991

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