Progress on LLL and Lattice Reduction
نویسنده
چکیده
We surview variants and extensions of the LLL-algorithm of Lenstra, Lenstra Lovász, extensions to quadratic indefinite forms and to faster and stronger reduction algorithms. The LLL-algorithm with Householder orthogonalisation in floating-point arithmetic is very efficient and highly accurate. We surview approximations of the shortest lattice vector by feasible lattice reduction, in particular by block reduction, primal-dual reduction and random sampling reduction. Segment reduction performs LLL-reduction in high dimension mostly working with a few local coordinates.
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