First developed in the early 1980s by Lenstra, Lenstra, and Lovasz, the LLL algorithm was originally used to provide a polynomial-time algorithm for factoring polynomials with rational coefficients. It very quickly became an essential tool in integer linear programming problems and was later adapted for use in cryptanalysis. This book provides an i
eBook - PDF
Lattice Basis Reduction
An Introduction to the LLL Algorithm and Its Applications
- 330 pages
- English
- PDF
- Available on iOS & Android
eBook - PDF
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Table of contents
- Front Cover
- Contents
- List of Figures
- Preface
- About the Author
- 1. Introduction to Lattices
- 2. Two-Dimensional Lattices
- 3. Gram-Schmidt Orthogonalization
- 4. The LLL Algorithm
- 5. Deep Insertions
- 6. Linearly Dependent Vectors
- 7. The Knapsack Problem
- 8. Coppersmith's Algorithm
- 9. Diophantine Approximation
- 10. The Fincke-Pohst Algorithm
- 11. Kannan's Algorithm
- 12. Schnorr's Algorithm
- 13. NP-Completeness
- 14. The Hermite Normal Form
- 15. Polynomial Factorization
- Bibliography
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Yes, you can access Lattice Basis Reduction by Murray R. Bremner in PDF and/or ePUB format, as well as other popular books in Computer Science & Cyber Security. We have over 1.5 million books available in our catalogue for you to explore.