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Permanents, permutations and polynomials

Title
Permanents, permutations and polynomials
Funding
ARC | Discovery Projects
Contract (GA) number
DP1093320
Start Date
2010/01/01
End Date
2012/12/31
Open Access mandate
no
Organizations
-
More information
http://purl.org/au-research/grants/arc/DP1093320

 

  • On the Existence of Retransmission Permutation Arrays

    We investigate retransmission permutation arrays (RPAs) that are motivated by applications in overlapping channel transmissions. An RPA is an $n\times n$ array in which each row is a permutation of ${1, ..., n}$, and for $1\leq i\leq n$, all $n$ symbols occur in each $i\times\lceil\frac{n}{i}\rceil$ rectangle in specified corners of the array. The array has types 1, 2, 3 and 4 if the stated property holds in the top left, top right, bottom left and bottom right corners, respectively. It is ca...
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