| 000 -LEADER |
|---|
| fixed length control field |
03621nam a22005295i 4500 |
| 003 - CONTROL NUMBER IDENTIFIER |
|---|
| control field |
OSt |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
|---|
| control field |
20140310151117.0 |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION |
|---|
| fixed length control field |
cr nn 008mamaa |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
|---|
| fixed length control field |
100301s2010 gw | s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
|---|
| International Standard Book Number |
9783642022951 |
|
978-3-642-02295-1 |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
|---|
| Classification number |
QA76.9.D35 |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
|---|
| Classification number |
005.74 |
| Edition number |
23 |
| 264 #1 - |
|---|
| -- |
Berlin, Heidelberg : |
| -- |
Springer Berlin Heidelberg, |
| -- |
2010. |
| 912 ## - |
|---|
| -- |
ZDB-2-SCS |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Nguyen, Phong Q. |
| Relator term |
editor. |
| 245 14 - IMMEDIATE SOURCE OF ACQUISITION NOTE |
|---|
| Title |
The LLL Algorithm |
| Medium |
[electronic resource] : |
| Remainder of title |
Survey and Applications / |
| Statement of responsibility, etc |
edited by Phong Q. Nguyen, Brigitte Vallée. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
XIV, 496 p. |
| Other physical details |
online resource. |
| 440 1# - SERIES STATEMENT/ADDED ENTRY--TITLE |
|---|
| Title |
Information Security and Cryptography, |
| International Standard Serial Number |
1619-7100 |
| 505 0# - FORMATTED CONTENTS NOTE |
|---|
| Formatted contents note |
The History of the LLL-Algorithm -- Hermite’s Constant and Lattice Algorithms -- Probabilistic Analyses of Lattice Reduction Algorithms -- Progress on LLL and Lattice Reduction -- Floating-Point LLL: Theoretical and Practical Aspects -- LLL: A Tool for Effective Diophantine Approximation -- Selected Applications of LLL in Number Theory -- The van Hoeij Algorithm for Factoring Polynomials -- The LLL Algorithm and Integer Programming -- Using LLL-Reduction for Solving RSA and Factorization Problems -- Practical Lattice-Based Cryptography: NTRUEncrypt and NTRUSign -- The Geometry of Provable Security: Some Proofs of Security in Which Lattices Make a Surprise Appearance -- Cryptographic Functions from Worst-Case Complexity Assumptions -- Inapproximability Results for Computational Problems on Lattices -- On the Complexity of Lattice Problems with Polynomial Approximation Factors. |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc |
The LLL algorithm is a polynomial-time lattice reduction algorithm, named after its inventors, Arjen Lenstra, Hendrik Lenstra and László Lovász. The algorithm has revolutionized computational aspects of the geometry of numbers since its introduction in 1982, leading to breakthroughs in fields as diverse as computer algebra, cryptology and algorithmic number theory. This book consists of 15 survey chapters on computational aspects of Euclidean lattices and their main applications. Topics covered include polynomial factorization, lattice reduction algorithms, applications in number theory, integer programming, provable security, lattice-based cryptography and complexity. The authors include many detailed motivations, explanations and examples, and the contributions are largely self-contained. The book will be of value to a wide range of researchers and graduate students working in related fields of theoretical computer science and mathematics. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Computer science. |
|
|---|
| Topical term or geographic name as entry element |
Data structures (Computer science). |
|
|---|
| Topical term or geographic name as entry element |
Computer software. |
|
|---|
| Topical term or geographic name as entry element |
Computational complexity. |
|
|---|
| Topical term or geographic name as entry element |
Algorithms. |
|
|---|
| Topical term or geographic name as entry element |
Number theory. |
|
|---|
| Topical term or geographic name as entry element |
Mathematical optimization. |
|
|---|
| Topical term or geographic name as entry element |
Computer Science. |
|
|---|
| Topical term or geographic name as entry element |
Data Structures, Cryptology and Information Theory. |
|
|---|
| Topical term or geographic name as entry element |
Algorithms. |
|
|---|
| Topical term or geographic name as entry element |
Algorithm Analysis and Problem Complexity. |
|
|---|
| Topical term or geographic name as entry element |
Discrete Mathematics in Computer Science. |
|
|---|
| Topical term or geographic name as entry element |
Number Theory. |
|
|---|
| Topical term or geographic name as entry element |
Optimization. |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
|---|
| Personal name |
Vallée, Brigitte. |
| Relator term |
editor. |
| 710 2# - ADDED ENTRY--CORPORATE NAME |
|---|
| Corporate name or jurisdiction name as entry element |
SpringerLink (Online service) |
| 773 0# - HOST ITEM ENTRY |
|---|
| Title |
Springer eBooks |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
|---|
| Display text |
Printed edition: |
| International Standard Book Number |
9783642022944 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS |
|---|
| Uniform Resource Identifier |
http://dx.doi.org/10.1007/978-3-642-02295-1 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Source of classification or shelving scheme |
|
| Item type |
E-Book |
