The Organization of Permutation Architectures with Bussed Interconnections

Abstract

This paper explores the problem of efficiently permuting data stored in VLSI chips in accordance with a predetermined set of permutations. By connecting chips with shared bus interconnections, as opposed to point-to-point interconnections, we show the number of pins per chip can often be reduced. We also consider uniform permutation architectures that realize permutations in several clock ticks, instead of one, and show that further savings in the number of pins per chip can be obtained. Keywords: Barrel shifter, Bussed interconnections, Cyclic shifter, Difference cover, Difference set, Group theory, Permutation, Permutation architecture, Projective plane, Special-purpose architecture, Uniform architecture.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1989
Accession Number
ADA210832

Entities

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  • Charles E. Leiserson
  • Joe Kilian
  • Sholomo Kipnis

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  • Massachusetts Institute of Technology

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  • Parallel and Distributed Computing.