cdn_goethals_base: cdn_goethals_base

In HadamardR: Hadamard Matrix Generation

Description

Checks Hadamard Matrix can be constructed using available base sequences.

Usage

cdn_goethals_base(order)

Arguments

order

integer

Details

This function checks whether the Hadamard matrix of given order can be constructed using base sequences. If base sequences of length n+1,n+1,n,n are available, T-sequences of length 2n+1,2n+1,2n+1,2n+1 can be constructed. From T-sequence of length 2n+1, Hadamard matrix of order 4(2n+1) can be constructed. Returns the value 7, if it is possible otherwise NULL is returned.

Base sequences are available in the internal dataset is 1:35

Value

7 or NULL

Source

The Base sequences were obtained from Christos Koukouvinos

References

Goethals, J. M. and Seidel, J. J. (1967). Orthogonal matrices with zero diagnol. Canad. J. Math., 19, 259-264.

See Also

had_goethals_base for Goethals-Seidel construction method.

baseseq

Examples

cdn_goethals_base(20)
#7
cdn_goethals_base(24)
#NULL

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