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Floating|Point LLL Revisited


Floating-Point LLL Revisited - IACR

The Lenstra-Lenstra-Lovász lattice basis reduction algorithm. (LLL or L3) is a very popular tool in public-key cryptanalysis and in many other fields. Given an ...

Floating-Point LLL Revisited | SpringerLink

The Lenstra-Lenstra-Lovász lattice basis reduction algorithm (LLL or L3) is a very popular tool in public-key cryptanalysis and in many other fields.

Floating-Point LLL Revisited - Hal-Inria

Everybody knows the Lenstra-Lenstra-Lovász lattice basis reduction algorithm (LLL), which has proved invaluable in public-key cryptanalysis and in many ...

Floating-Point LLL revisited - ACM Digital Library

The Lenstra-Lenstra-Lovász lattice basis reduction algorithm (LLL or L3) is a very popular tool in public-key cryptanalysis and in many other fields.

Floating-point LLL revisited - ResearchGate

The recent L 2 algorithm [22] (based on floating-point Gram-Schmidt) by Nguyen and Stehlé achieves a factor of (δ, ν) arbitrarily close to (1,1/2) in faster ...

Floating-point LLL Revisited - Archive ouverte HAL

The Lenstra-Lenstra-Lovasz lattice basis reduction algorithm (LLL or L^3) is a very popular tool in public-key cryptanalysis and in many other fields.

Phong NGUYEN - Floating-Point LLL Revisited

\log B)$. This is the first L^3 algorithm whose running time (without fast integer arithmetic) provably grows only quadratically with respect to $\log B$, like ...

Floating-Point LLL Revisited - IACR

BibTeX. @inproceedings{eurocrypt-2005-2602, title={Floating-Point LLL Revisited}, booktitle={Advances in Cryptology - EUROCRYPT 2005, ...

Floating-Point LLL Revisited | CoLab

The Lenstra-Lenstra-Lovász lattice basis reduction algorithm (LLL or L3) is a very popular tool in public-key cryptanalysis and in many ...

Floating-Point LLL Revisited - Macquarie University

Floating-Point LLL Revisited. Phong Q. Nguyen, Damien Stehle. Research output: Chapter in Book/Report/Conference proceeding › Conference proceeding ...

Floating-Point LLL: Theoretical and Practical Aspects

1.3 Complexity bounds of the original LLL and the provable floating-point LLL algorithms. ... Floating-point LLL revisited. In Proceedings of Euro- crypt 2005, ...

Floating-Point LLL: Theoretical and Practical Aspects - SpringerLink

Low-dimensional lattice basis reduction revisited (extended abstract). In Proceedings of the 6th Algorithmic Number Theory Symposium (ANTS VI), volume 3076 of ...

Adaptive Precision Floating Point LLL? - Thomas Plantard

This leads to the adaptive precision floating point LLL algorithm (ap-fplll) as shown in Algorithm 3. ... Floating-point LLL revisited. In Advances in Cryptol-.

Floating-Point LLL: Theoretical and Practical Aspects - ResearchGate

Download Citation | Floating-Point LLL: Theoretical and Practical Aspects | The text-book LLL algorithm can be sped up considerably by replacing the ...

Lattice reduction of basis with non-integer coefficients - MathOverflow

The closest thing I found is the floating point extensions of the LLL-algorithm (e.g., Floating-point LLL revisited. PQ Nguên, D Stehlé) ...

The LLL Algorithm | Ionica Smeets

The fourth article, by Damien Stehlé, surveys all aspects of floating-point lattice reduction. ... revisited (extended abstract). In Proc. of the 6th ...

Fast LLL-type lattice reduction - ScienceDirect.com

Stehle, Floating-Point LLL Revisited, To appear in Proc. Eurocrypt'05. Google Scholar. [31]. C.P. Schnorr. A hierarchy of polynomial time lattice basis ...

An LLL Algorithm with Quadratic Complexity

The Lenstra–Lenstra–Lovász lattice basis reduction algorithm (called LLL or ${\rm L}^3$) is a fundamental tool in computational number theory and ...

Low-dimensional lattice basis reduction revisited - ACM Digital Library

Floating-Point LLL revisited. In Proceedings of Eurocrypt. Lecture Notes in Computer Science, vol. 3494. Springer-Verlag, 215--233. Digital Library · Google ...

[PDF] An LLL Algorithm with Quadratic Complexity - Semantic Scholar

Floating-Point LLL Revisited · Phong Q. NguyenD. Stehlé. Computer Science, Mathematics. EUROCRYPT. 2005. TLDR. The L 2 algorithm is introduced, a new and ...