A complex Hadamard matrix of order 94
Abstract
In this paper we modify a fundamental block construction of Kharaghani and Seberry and show how to use certain circulant \-1,1\-matrices of odd order p to construct a complex Hadamard matrix of order 2p. In particular, for p=47 we use computer-aided methods to discover the necessary circulant matrices, and consequently give a construction of a complex Hadamard matrix of order 94 for the first time.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.