On the decomposition of lattices
نویسندگان
چکیده
A lattice in euclidean space which is an orthogonal sum of nontrivial sublattices is called decomposable. We present an algorithm to construct a lattice’s decomposition into indecomposable sublattices. Similar methods are used to prove a covering theorem for generating systems of lattices and to speed up variations of the LLL algorithm for the computation of lattice bases from large generating systems.
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ورودعنوان ژورنال:
- Electronic Colloquium on Computational Complexity (ECCC)
دوره 5 شماره
صفحات -
تاریخ انتشار 1998