The LLL Algorithm [electronic resource] : Survey and Applications /
Nguyen, Phong Q.editor.
Vallée, Brigitte.editor.
The first book to offer a comprehensive view of the LLL algorithm, this text surveys computational aspects of Euclidean lattices and their main applications. It includes many detailed motivations, explanations and examples.
Description based upon print version of record.
The first book to offer a comprehensive view of the LLL algorithm, this text surveys computational aspects of Euclidean lattices and their main applications. It includes many detailed motivations, explanations and examples.
Includes bibliographical references.
The History of the LLL-Algorithm -- Hermite#x2019;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.
Data structures (Computer science).
Data encryption (Computer science).
Computer science-Mathematics.
Algorithms.
Data Structures.
Cryptology.
Mathematics of Computing.
Data Structures and Information Theory.
Algorithms.
Algorithm Analysis and Problem Complexity.