August 2011
Intermediate to advanced
332 pages
9h 10m
English
Content preview from Lattice Basis Reduction
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Schnorr’s Algorithm 207
Project 12.4. Wor k out the details of a complexity analysis of Schnorr’s
algorithm for semi-block-2k-r e duction based on his original paper [123] (see
especially Sections 4 and 5). Note that Schnorr’s analysis is based on his
improved version of Kannan’s algorithm for Hermite reduction.
Project 12. 5. An algorithm for lattice basis reduction similar to the algo-
rithms in Schnorr’s hierarchy is given by Schnorr and Euchner [127]. Compare
this algorithm (block Hermite reduction) with the algorithms in Schnorr [123].
Project 12.6. Koy and Schnorr [8 0, 8 1] (see also Schnorr [125]) introduced
the concept of segment LLL-reduced ...
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