Hi,

> I have written following Lattice Reduction Algorithm. However, it does not
> work properly (does not matche with the LLL algorithm
> implemented in Sage). It will be great for me if any one check the program.

the output of the LLL algorithm is not unique. You have to check that the
output of Sage and yours are LLL-reduced: see the documentation M.LLL? Note
also that the delta and eta parameters might be different with your
implementation (Sage uses by default delta=3/4 and eta=0.501).

Paul Zimmermann

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