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    Constructions for retransmission permutation arrays

    Dinitz, J.H. and Paterson, Maura B. and Stinson, D.R. and Wei, R. (2012) Constructions for retransmission permutation arrays. Designs, Codes and Cryptography 65 (3), pp. 325-351. ISSN 0925-1022.

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    Li et al. (Retransmission ≠ repeat: simple retransmission permutation can resolve overlapping channel collisions, 2009) introduced a technique for resolving overlapping channel transmissions that used an interesting new type of combinatorial structure. In connection with this problem, they provided an example of a 4 × 4 array having certain desirable properties. We define a class of combinatorial structures, which we term retrans mission permutation arrays, that generalise the example that Li et al. provided. We show that these arrays exist for all possible orders. We also define some extensions having additional properties, for which we provide some partial results.


    Item Type: Article
    School: Birkbeck Faculties and Schools > Faculty of Science > School of Computing and Mathematical Sciences
    Depositing User: Maura Paterson
    Date Deposited: 29 Nov 2012 11:39
    Last Modified: 09 Aug 2023 12:32


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