Recent content by acco40

"However, difference of possible x vectors is derived from a set. In other words, it is not a linear combination of possible inputs." I meant i am not interested in all linear combinations of x vectors generated with permutation. I only need to consider subspace of the difference of all x...

" in the present example no searching is needed, since all such differences have rational, indeed integer, entries, and there are no non zero rational elements of the kernel of A. you see this just by looking at the entries of A." It is true for this example. However, in general case...

Let y=Ax. A is a matrix n by m and m>n. Also, x gets its values from a finite alphabet. How can i show if the mapping from x to y is injective for given A and alphabet (beside a search method)? For example, let A and the alphabet be [1 0 1/sqrt2 1/sqrt2] [0 1 1/sqrt2 -1/sqrt2] and...