Complexity of Lattice Problems

Language: English

Published by Springer, Humana Mär 2002, 2002

0792376889 / 9780792376880

Series: Book 119 of 260 - The Springer International Series in Engineering and Computer Science

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This item is printed on demand - it takes 3-4 days longer - Neuware -Lattices are geometric objects that can be pictorially described as the set of intersection points of an infinite, regular n-dimensional grid. De spite their apparent simplicity, lattices hide a rich combinatorial struc ture, which has attracted the attention of great mathematicians over the last two centuries. Not surprisingly, lattices have found numerous ap plications in mathematics and computer science, ranging from number theory and Diophantine approximation, to combinatorial optimization and cryptography. The study of lattices, specifically from a computational point of view, was marked by two major breakthroughs: the development of the LLL lattice reduction algorithm by Lenstra, Lenstra and Lovasz in the early 80's, and Ajtai's discovery of a connection between the worst-case and average-case hardness of certain lattice problems in the late 90's. The LLL algorithm, despite the relatively poor quality of the solution it gives in the worst case, allowed to devise polynomial time solutions to many classical problems in computer science. These include, solving integer programs in a fixed number of variables, factoring polynomials over the rationals, breaking knapsack based cryptosystems, and finding solutions to many other Diophantine and cryptanalysis problems. 234 pp. Englisch.…

Seller Inventory # 9780792376880

Title
Complexity of Lattice Problems
Author
Daniele Micciancio
Publisher
Springer, Humana Mär 2002
Publication year
2002
Condition
Neu
Binding
Buch
Language
English
ISBN 10
0792376889
ISBN 13
9780792376880
Item weight
521 grams
Dimensions
241x160x18 mm
Series
Book 119 of 260: The Springer International Series in Engineering and Computer Science

BuchWeltWeit Ludwig Meier e.K.

Bergisch Gladbach, Germany

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