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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