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A Systematic Design of Cellular Permutation Arrays
October 1989 (vol. 38 no. 10)
pp. 1447-1451
A parametrized design technique is presented of cellular permutation arrays based on coset decompositions of symmetric groups. A type of permutation cell referred to as a coset generator is introduced to customize the propagation delay, fan-in, fan-out, and number of edges in the target network. To aid in the design process, a cost function is derived expressing the number of edges in terms of

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Index Terms:
cellular permutation arrays; coset decompositions; permutation cell; coset generator; propagation delay; fan-in; fan-out; target network; cost function; cellular arrays; multiprocessor interconnection networks; network topology.
A.Y. Oruc, A. Thirumalai, "A Systematic Design of Cellular Permutation Arrays," IEEE Transactions on Computers, vol. 38, no. 10, pp. 1447-1451, Oct. 1989, doi:10.1109/12.35838
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