Thank you very much.

On 28 December 2010 23:56, luisfe <lftab...@yahoo.es> wrote:

> On Dec 28, 6:23 pm, Santanu Sarkar <sarkar.santanu....@gmail.com>
> wrote:
> > Size of my matrix is (90, 36) with entries are around 2^1000. What is the
> > fastest
> > method  to compute Hermite Normal Form?
>
> In that case, the fastest may be the default one you are already
> using. Note that computing the Hermite form is fast, the hard part is
> computing the transformation matrix.
>
> > In my matrix number of rows greater than number of columns. That is
> > A=  random_matrix(ZZ, 90, 36). Then how can I calculate  transformation
> > matrix
> > of LLL?
>
> I made a mistake, if the lattice is represented by the rows, then it
> is not A\B but trans_matrix = A.solve_left(B), look at the
> documentation of the methods.
>
> trans_matrix * A = B
>
> express the rows of B as combinations of rows of A
>
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