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math.CO2012
Semidefinite programming for permutation codes
Mathieu Bogaerts, Peter Dukes
We initiate study of the Terwilliger algebra and related semidefinite programming techniques for the conjugacy scheme of the symmetric group Sym. In particular, we compute orb…
math.CO2012
A Sidon-type condition on set systems
Peter J. Dukes, Jane Wodlinger
Consider families of -subsets (or blocks) on a ground set of size . Recall that if all -subsets occur with the same frequency , one obtains a -design with index .…