A conference matrix is a concept mainly used in combinatorics, specifically in the study of error-correcting codes, design theory, and graph theory. It is related to structured arrangements of points and lines, usually in the context of finite groups and their applications. More formally, a conference matrix is an \( n \times n \) matrix, where \( n \) is an even integer, that has specific properties: 1. The entries of the matrix are either 0 or 1.

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