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cs.CC2026
Secret Sharing at the Shannon Ceiling
Christopher Williamson
For every that is a multiple of 3, we construct an explicit access structure on participants. In every perfect secret-sharing scheme realising this access structure,…
math.CO2026
Finite Three-Colourable (0,2)-Graphs Are Bipartite
Christopher Williamson
A theorem of Payan says that a cubelike graph cannot have chromatic number exactly three. A nearby question, usually discussed as Payan's finite -graph question, asks whethe…
cs.CC2026
Symmetric Bounded Indistinguishability: Hypergeometric Smoothing and Hahn Polynomials
Christopher Williamson
A pair of probability distributions over is said to be -wise indistinguishable if all of the size marginals are within statistical distance at most . Prev…