had_baumert: had_baumert

In HadamardR: Hadamard Matrix Generation

Description

had_baumert performs the constrution of Hadamard matrix by Baumert-Hall method.

Usage

had_baumert(n)

Arguments

n	integer (order of the matrix)

Details

Baumert-Hall arrays extension of the williamson array. For construction of matrix it requires the Williamson sequences.For different order of the matrix it requries different williamson sequences.If williamson sequences are not available it Returns NULL.

Williamson sequences are available for length of seq(1,63, 2) except 15, 35, 47, 53, 59 in the internal table.

Value

Hadamard matrix of order n

Source

The Williamson sequences are available in London (2013) and Christos Koukouvinos

References

Baumert, L. D., and Hall, M. Jr. (1965). A new construction method for Hadamard matrices. Bull. Amer. Math. Soc., 71, 169-170

Hedayat, A. and Wallis, W.D. (1978). Hadamard Matrices and Their Application. Ann. Stat., 6, 1184-1238.

London, S. 2013. Constructing New Turyn Type Sequences, T-Sequences and Hadamard Matrices. PhD Thesis, University of Illinois at Chicago, Chicago.

Examples

had_baumert(372)

#Big matrix.
had_baumert(24)
#NULL

HadamardR documentation built on April 14, 2020, 7:01 p.m.