August 2011
Intermediate to advanced
332 pages
9h 10m
English
Content preview from Lattice Basis Reduction
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Contents
List of Figures xi
Preface xiii
About the Author xvii
1 Introduction to Lattices 1
1.1 Euclidean space R
n
. . . . . . . . . . . . . . . . . . . . . . . 1
1.2 Lattices in R
n
. . . . . . . . . . . . . . . . . . . . . . . . . . 5
1.3 Geometry of numbers . . . . . . . . . . . . . . . . . . . . . . 13
1.4 Projects . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15
1.5 Exercises . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15
2 Two-Dimensional Lattices 21
2.1 The Euclidean algorithm . . . . . . . . . . . . . . . . . . . . 21
2.2 Two-dimensional lattices . . . . . . . . . . . . . . . . . . . . 25
2.3 Vall´ee’s analysis of the Gaussian ...
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