how can I generate all possible mutually orthogonal permutative matrices of order 3 in matlab ?

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Ammy 2018-1-19

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https://ww2.mathworks.cn/matlabcentral/answers/377999-how-can-i-generate-all-possible-mutually-orthogonal-permutative-matrices-of-order-3-in-matlab

评论： Ammy 2018-1-31

e.g

2  3          1  2  3             (1,1)  (2,2)  (3,3)
3  1          3  1  2             (2,3)  (3,1)  (1,2)
2  1          2  1  3             (3,2)  (2,1)  (1,3)

these are mutually orthogonal because there is no repition in the ordered pairs.

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Ammy 2018-1-20

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RespectedSir,

Thank you for your kind consideration.

There are 120 permutative matrices of order 3, Is there any way to gererate all pairs out of these 120 which are orthognal to each other .

 I need two orthogonal matrices with the condition that the hamming distance between each row should remain constant .
As in case of order 3 I need two orthogonal matrices with fixed hamming distance 3 between each possible pair of rows .

David Goodmanson 2018-1-21

编辑：David Goodmanson 2018-1-21

Hi Noor,

How is a permutative matrix of order 3 defined? I though it might be a matrix where no number from {1,2,3} is repeated in any row or column, but there are only 12 of those.

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