| cdn_goethals_base {HadamardR} | R Documentation |
cdn_goethals_base
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.
Examples
cdn_goethals_base(20)
#7
cdn_goethals_base(24)
#NULL