cdn_sds {HadamardR}

cdn_sds

Description

Checks Hadamard Matrix can be constructed using available Suplementary Difference Sets.

Usage

cdn_sds(order)

Arguments

order

integer

Details

This function checks whether the Hadamard matrix of given order can be constructed using Suplementary Diffrence sets. If SDS is available it Returns the value 10 otherwise NULL.

SDS are available for 103,127,151,163,181,191,239,251,463,631 in the internal table.

Value

10 or NULL

Source

SDS sets are availble from Djokovic (1992a,b,c,d and 1994a,1994b).

References

Djokovic, D. Z. (1992a). Skew Hadamard matrices of order 4x37 and 4x39. J. Combin. Theory, A 61, 319-321.

Djokovic, D. Z. (1992b). Construction of some new Hadamard matrices. Bull. Austral. math. Soc., 45, 327-332.

Djokovic, D. Z. (1992c). Ten new Hadamard matrices of skew type. Publ.Electrotechnickog Fak., Ser. Mathematika, Univ. of Belgrade, 3, 47-59.

Djokovic, D. Z. (1992d). Ten Hadamard matrices of order 1852 of Goethals-Seidel type. Europ. J. Combinatorics, 13, 245-248.

Djokovic, D. Z. (1994a). Two Hadamard matrices of order 956 of Goethals-Seidel type. Combinatorica, 14(3), 375-377.

Djokovic, D. Z. (1994b). Five new Hadamard matrices of order skew type. Austral. J. Combinatorics, 10, 259-264.

See Also

had_SDS for SDS construction method.

Examples

cdn_sds(412)
#10
cdn_sds(428)
#NULL