seq_williamson {HadamardR} | R Documentation |
seq_williamson performs the selection of Williamson sequences from dataset
seq_williamson(order)
order |
integer |
Create williamson sequences of given order from the internal dataset williamson_sequences
Williamson sequences are available for length of seq(1,63, 2) except 15, 35, 47, 53, 59 in the internal table.
Required Williamson sequences of order
The Base sequences are obtained The Base sequences were obtained from Christos Koukouvinos and London (2013).
Williamson, J. (1944). Hadamard determinant theorem and the sum of four squares. Duke. Math. J., 11, 65-81.
Williamson, J. (1947). Note on Hadamard's determnant theorem. Bull. Amer. Math. Soc., 53, 608-613.
London, S. 2013. Constructing New Turyn Type Sequences, T-Sequences and Hadamard Matrices. PhD Thesis, University of Illinois at Chicago, Chicago.
had_williamson
for Williamson construction method using Williamson sequences.