| had_baumert {HadamardR} | R Documentation |
had_baumert
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