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 |
|
$170.10 | See Site | In stock | Visit Store |
Reviews
Questions & Answers
Perception, Affectivity, and Volition in Husserls Phenomenology
$79.99
Reconfigurable Cryptographic Processor
$179.99
New Work, Neues Arbeiten virtuell und in Prsenz
$49.99
bungsbuch zur Linearen Algebra
$19.99
Virtual Manufacturing
$329.99
MarktLab 2.0
$79.99
MultiMedia Modeling
$39.99
Medical Informatics Europe 90
$54.99
Galois Dream: Group Theory and Differential Equations
$109.00
Thinking About Development
$54.99
23 Stundenkonzepte fr Menschen mit Demenz
$29.99
The New US Security Agenda
$69.99
Contested Cities and Urban Activism
$169.99
Praktische Neurologie fr rzte
$59.99
Cardiac Tumor Pathology
$169.99
The Disarmament of Hatred
$84.99
Full Stack JavaScript
$29.99
Actioning the Global Goals for Local Impact
$109.99
Psychische Strungen bei Jugendlichen
$44.99
Transactions on Edutainment X
$39.99
Koordination in strategischen Netzwerken
$59.99
The Brain and Conscious Unity
$54.99
Social Services of General Interest in the EU
$179.99
The Engineering Dynamics Course Companion, Part 2
$54.99
Just War Theory and Literary Studies
$119.99
Von Bolzano zu Husserl
$109.00
Black Participatory Research
$109.00
Nonlinear Optics
$109.99
Creep in Structures
$109.99
Plants in the Deserts of the Middle East
$219.99
Lern- und Arbeitstechniken fr das Studium
$19.99
Gender in Russian History and Culture
$99.00
Visual Astronomy in the Suburbs
$29.99
Mathematische Methoden der Theoretischen Physik | 2
$39.99
Smart Healthcare and Machine Learning
$159.99
China's Water Resources Management
$159.99
Scare Tactics
$109.99
Geometrical Methods in the Theory of Ordinary Differential Equations
$219.99
Balanced Automation Systems
$169.00
The Safety of Medicines
$54.99
