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Complexity of Lattice Problems: A Cryptographic Perspective by Daniele Micciancio, Shafi Goldwasser (Paperback, 2012)

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About this product

Product Information

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.

Product Identifiers

Publisher
Springer-Verlag New York Inc.
ISBN-13
9781461352938
eBay Product ID (ePID)
148700990

Product Key Features

Subject Area
Information Science, Electrical Engineering
Author
Daniele Micciancio, Shafi Goldwasser
Publication Name
Complexity of Lattice Problems: a Cryptographic Perspective
Format
Paperback
Language
English
Subject
Computer Science, Mathematics
Publication Year
2012
Type
Textbook
Number of Pages
220 Pages

Dimensions

Item Height
235mm
Item Width
155mm
Volume
671
Item Weight
367g

Additional Product Features

Title_Author
Daniele Micciancio, Shafi Goldwasser
Series Title
The Springer International Series in Engineering and Computer Science
Country/Region of Manufacture
United States

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