seq_williamson: seq_williamson

In HadamardR: Hadamard Matrix Generation

Description

seq_williamson performs the selection of Williamson sequences from dataset

Usage

seq_williamson(order)

Arguments

order

integer

Details

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.

Value

Required Williamson sequences of order

Source

The Base sequences are obtained The Base sequences were obtained from Christos Koukouvinos and London (2013).

References

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.

See Also

had_williamson for Williamson construction method using Williamson sequences.

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