How to generate a total random 6 by 6 Latin Square?

I have a question about 6 by 6 Latin Square, right now I have a Latin Square like this:

6 1 4 2 3 5

3 4 1 5 6 2

5 6 3 1 2 4

4 5 2 6 1 3

2 3 6 4 5 1

1 2 5 3 4 6

But I found in the fourth column and sixth column, 1 and 6 comes out in the the same sequence (6 is just behind 1). The same situation happens in the first column and fifth column, 5 and 4 comes out in the same sequence (4 is just behind 5). Is it possible to avoid this problem? Thank you very much!

Answer 1

[George Papazafeiropoulos]

Look at the following:

http://www.mathworks.com/matlabcentral/fileexchange/12315-latsq/content/latsq.m

Hope this helps!

[Tao]

Actually the square I put in the question is from this code. And I tried a lot of times to generate Latin Square from this code, the problem which I mentioned still happens. But still thank you for your reply :)

[Ilya Gurin]

Also, File Exchange has a very restrictive license.