Marshall Hall's five inequivalent matrices (16H1 , 16H2 , 16H3 , 16H4 , 16H5 )

Three inequivalent matrices (20H01 , 20H02 , 20H03 ). The first is Paley I Construction, the second and third are Tonchev iii and 1v.

For GECP for some of Kimura's Hadamard matrices Gaussian Elimination with Complete Pivoting.

Sylvester Construction (32Syl ), Paley I Construction (32P02 ), Paley II Construction (P12, P13, P14, P15, P16, P17, P18, P19), Marshall Hall Difference Set Construction (32H03 ), W D Wallis Inequivalent (Code 32G05, 32G06, 32G07, 32G08, 32G09, 32G10, 32G11, 32G12, 32G13, 32G14, 32G15).

Also refer to "Neil Sloane's Library List"

An Extended Library of Hadamard Matrices

32Syl 32P02 32H03 32G05 32G06 32G07 32G08 32G09 32G10 32G11 32G12 32G13 32G14 32G15 P12 P13 P14 P15 P16 P17 P18 P19

Eleven matrices found by Vladimir Tonchev

36H140 ,
36H141 ,
36H142 ,
36H143 ,
36H144 ,
36H145 ,
36H146 ,
36H147 ,
36H148 ,
36H149 ,
36H150 ).

179 Further Hadamard matrices of order 36

36H

Bush-type Hadamard matrix of order 36 found by Zvonimir Janko

36J

Regular Hadamard matrices of order 36 found by Jennifer Seberry

36R

Updated 6th June, 2001. Please email questions or comments to j.seberry@uow.edu.au