使用MATLAB生成随机多项式 [英] Generate random polynomials with MATLAB

问题描述

我想生成参数为(n,m)的随机二进制多项式.

I want to generate random binary polynomials with parameters (n,m).

n是要生成的多项式的数量 m是每个多项式的元素数.

n is the number of polynomials to be generated and m is the number of elements of each polynomials.

同时，我需要多项式是唯一的. 而且我还需要排除所有元素等于零的结果.

At the same time I need it's polynomial to be unique. And I also need to exclude the result with all elements equal to zero.

例如对于n=3和m=3，我正在寻找类似的东西 [1 0 1] [1 0 0] [1 1 1].

For example for n=3 and m=3 I am looking for something like [1 0 1] [1 0 0] [1 1 1].

mat实验室中是否可以使用任何命令来获得上述结果?我还想避免for循环！

Is there any command in mat lab which I can use to have the above results?? I would also like to avoid the for loop if possible!!

我发现命令unique(rand(n,m)>=0.5,'rows')将完成这项工作.但这不能保证结果[0 0 0]将被排除

I found that the command unique(rand(n,m)>=0.5,'rows') will do the job. But this does not guarantee that the result [0 0 0] will be excluded

有什么想法吗?

推荐答案

每个多项式都可以解释为1到2 ^ m-1之间的二进制数.

Each of your polynoms could be interpreted as a binary number between 1 and 2^m-1.

%get a random subset of size n
X=randperm(2^m-1,n);
%convert it to a matrix
X=dec2bin(X)-'0';

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