Conference matrices with maximum excess and two-intersection sets
Abstract
A two-intersection set with parameters (j;α,β) for a block design is a j-subset of the point set of the design, which intersects every block in α or β points. In this paper, we show the existence of a two-intersection set with parameters (2m2-m+1;m2-m,m2) for the block design obtained from translations of the set of nonzero squares in the finite field of order q=4m2+1. As an application, we give a construction of conference matrices with maximum excess based on the two-intersection sets.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.