Initial_row_SDS {HadamardR}

Initial_row_SDS Initial_row_SDS is an internal function.Not Exported.

Description

Initial_row_SDS Initial_row_SDS is an internal function.Not Exported.

Usage

Initial_row_SDS(i, j, v, n, r)

Arguments

i

is the numeric vectors

j

is the numeric vectors

v

is the numeric vectors

n

is the numeric vectors

r

is the numeric vectors

Details

All inputs are numeric vectors of same length. This function used in the COnstruction of Hadamard matrix by Supplementary Differences Sets It converts the SDS sets into binary forms (+1 or -1).

Value

Intial rows of Matrix.

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.