Projective Planes and Hadamard Matrices

Abstract: It is conjectured that there is no projective plane of order 12. Balanced splittable Hadamard matrices were introduced in 2018. In 2023, it was shown that a projective plane of order 12 is equivalent to a balanced multi-splittable Hadamard matrix of order 144. There will be an attempt to show the equivalence in a way that may require little background.

combinatoricsnumber theory

Audience: researchers in the topic

Lethbridge number theory and combinatorics seminar