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Lattice Reduction
New Features:
- Simon's variant of LLL-reduction for indefinite forms has been efficiently
implemented in Magma as part of a new package of Damien Stehlé, and
works readily in dimensions greater than 100.
- The automorphism group and theta series of a lattice is now stored and
can be asserted via attributes.
- A new function ThetaSeriesLimited(L, n) takes a time limit and returns
the contribution to the first n coefficients of the theta series of a
lattice L found by lattice enumeration within the specified CPU time.
- Given a quadratic form F in an arbitrary number of variables, Mark
Watkins has used Denis Simon's ideas as the basis of an algorithm for
finding a large (totally) isotropic subspace of F.
Next: Algebras
Up: Lattices and Quadratic Forms
Previous: Lattices and Quadratic Forms
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