Open Research Index

Ray-Chaudhuri–Wilson: uniform families with restricted intersections

Juan Pablo Traverso Gianini

Palomar Registrypalomar/PALOMAR-2026-10-28-000012Oct 28, 2026math.COscore 0

Formalizes Theorem 3 of On t-designs (1975): a k-uniform family of subsets of an n-element ground set whose distinct-pair intersection sizes lie in L ⊆ {0,...,k−1} has at most binomial(n,|L|) members. Includes the actual-intersection-spectrum formulation, the uniform one-intersection bound, and equality examples consisting of all s-subsets.

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