conferenceMatrix: Constructs a conference matrix of a specified order using a...

In SCCDdesign: Construction of Screening Designs for Mixed Level Continuous and Categorical Factors

Constructs a conference matrix of a specified order using a direct construction for order 2 and Paley-based constructions for supported odd prime or prime-power values of q = n - 1.

Description

Constructs a conference matrix of a specified order using a direct construction for order 2 and Paley-based constructions for supported odd prime or prime-power values of q = n - 1.

Usage

conferenceMatrix(n)

Arguments

n	A single finite integer specifying the order of the conference matrix. The value must be at least 2.

Details

For n = 2, the conference matrix is constructed directly. For larger orders, the function sets q = n - 1 and determines whether q is a supported odd prime or odd prime power. Depending on the value of q modulo 4, the corresponding Paley construction is used. An error is returned when the supplied order does not satisfy the requirements of the implemented construction.

Value

A numeric n \times n conference matrix.

Examples

conferenceMatrix(6)

SCCDdesign documentation built on Sept. 21, 2026, 5:08 p.m.