Multiple path multistage interconnection networks as compared to their parental one path cube-type networks provide better permutation capability and offer such important property as fault-tolerance. In this paper an approach for investigation permuting ability of R-path Omega networks is proposed. The analysis as concerned to arbitrary permutations is done with the help of number theory methods. As to BPC (bit-permute-complement) permutations admissibility check to the aforementioned type of networks, the modified window method is proposed. The aforementioned method reduces drastically the time complexity of admissibility check. The results of computational experiments with applying the technique to some permutations of BPC class are given.
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