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math.CO2008
Counting the Number of Site Swap Juggling Patterns with Respect to Particular Ceilings
Carl Bracken
Site swap is a mathematical notation used by jugglers to communicate, create and study complex juggling patterns. Determining the number of possible site swap juggling patterns wit…
math.CO2008
Pseudo Quasi-3 Designs and their Applications to Coding Theory
Carl Bracken
We define a pseudo quasi-3 design as a symmetric design with the property that the derived and residual designs with respect to at least one block are quasi-symmetric. Quasi-symmet…
math.CO2002
Characterization of SDP Designs That Yield Certain Spin Models
Carl Bracken, Gary McGuire
We characterize the SDP designs that give rise to four-weight spin models with two values. We prove that the only such designs are the symplectic SDP designs. The proof involves an…