Copied Complexity of Lattice Problems
Complexity of Lattice Problems
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.
Price Comparison
| Seller | Contact Seller | List Price | On Sale | Shipping | Best Promo | Final Price | Volume Discount | Financing | Availability | Seller's Page |
|---|---|---|---|---|---|---|---|---|---|---|
|
BEST PRICE 1 Product Purchase
|
|
$189.00 | $189.00 |
|
$189.00 | See Site | In stock | Visit Store |
Reviews
Questions & Answers
The Anglo-Scottish Border and the Shaping of Identity, 13001600
$109.99
Brand Engagement
$54.99
Wie Stdte zu Marken werden
$59.99
Intelligent Manufacturing System and Intelligent Workshop
$199.99
Environmental Change and Human Security in Africa and the Middle East
$169.99
Practice of Sleep Medicine
$139.99
Advanced H Control
$54.99
Handbuch Technische Oberflchen
$69.99
Gene Therapy
$109.99
Handbook of Genetics
$84.99
Dairy Processing: Advanced Research to Applications
$199.99
Input-Output Analysis of Large-Scale Interconnected Systems
$84.99
Approximate and Renormgroup Symmetries
$109.99
Making Markets Making Place
$69.99
Terrorismus und Terrorismusbekmpfung
$19.99
Correct System Design
$39.99
The Use of Human Cells for the Evaluation of Risk from Physical and Chemical Agents
$39.99
Handbuch Kindheits- und Jugendforschung
$54.99
Infectious Mononucleosis
$84.99
Wine Analysis and Testing Techniques
$219.99
Bildpersonalisierung mit Adobe Photoshop
$19.99
Singular and Different
$109.99
The Politics of Educational Decentralisation in Indonesia
$129.99
Plant Protein Secretion
$169.00
Mikrocomputer, Struktur und Arbeitsweise
$69.99
Econometric Modelling of the World Trade in Groundfish
$259.00
Animal Stories: The Unwanted Puppy
$3.71
Mapping My.: Mapping My House
$5.24
Wissensbasiertes CASE
$69.99
The Fight against Systemic Corruption
$49.99
European Metropolitan Commercial Real Estate Markets
$109.99
Critical Systems: Formal Methods and Automated Verification
$39.99
Abstract Harmonic Analysis
$139.99
Interactions with Lattice Polytopes
$199.99
Coated Metal
$219.99
SiC Power Materials
$169.99
Intelligent Visual Inspection
$219.99
Growth and Form of Self-organized Branched Crystal Pattern in Nonlinear Chemical System
$54.99
Advances in Computational Intelligence
$119.99
Effektivitt in der Online-Kommunikation
$44.99
