How i can generate 2D matrix with unique values using 2D choatic map ?

Hellow matlab comunity.

I want to generate (20*20) matrix with unique values for each row and each column and the range of values in each cell must be between 0 and 19 using 2D chaotic map and with matalb code.

for example, if the size of matrix is 4*4 the output must be as below:

0 3 2 1

1 2 0 3

3 0 1 2

2 1 3 0

and i want this output is fixed for each run.

[Dyuman Joshi]

What do you mean by "2D chaotic map"?

What is the logic behind this output?

Is that the only acceptable output? What about -

[0 1 2 3
 1 2 3 0
 2 3 0 1
 3 0 1 2] 

[Radhwan Jawad]

2D chaotic map generate random numbers and it is sensetive to intial parameters

[Dyuman Joshi]

How does it generate random numbers?

You still didn't answer - What is the logic behind this output? and is the output I mentioned acceptable or not?

Answer 1

[Image Analyst]

Try this:

numbers = repmat(randperm(20)-1, 1, 20);
randomIndexes = randperm(numel(numbers));
finalMatrix = reshape(numbers(randomIndexes), 20, 20)

unless you mean a Latin Square

https://en.wikipedia.org/wiki/Latin_square