Good matrices of even order のバックアップ(No.2) - Araya PukiWiki

We generated good matrices in Jennifer Seberry's research. We can generated good matrices of even order.

define †

A,B,C,D:four (1,-1) matrices,order m.

  1. NM^T=MN^T (N,M in A,B,C,D)
  2. AA^T+BB^T+CC^T+DD^T=4mI
  3. (A-I)^T=-(A-I),B^T=B,C^T=C,D^T=D

If A,B,C,D with all properties , then will be called good matrices.

↑

good matrices †

good matrices of even order are as follows:

orderabcd
2filedatafiledatafiledatafiledata
4filedatafiledatafiledatafiledata
6filedatafiledatafiledatafiledata
8filedatafiledatafiledatafiledata
↑

reference †

Jennifer Seberry:「Wiliamson matrices of even order」Combinatorial Mathematics vol.403 Lecture Notes in Mathematics,Springer-Verlag,pp.132-142,1974 http://www.uow.edu.au/~jennie/WEB/WEB69-93/max/037_1974.pdf

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