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Lattice reduction
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#	Item
31	Lattice-based Cryptography Oded Regev? Tel Aviv University, Israel Abstract. We describe some of the recent progress on lattice-based cryptography, starting from the seminal work of Ajtai, and ending with Add to Reading List Source URL: www.iacr.org Language: English - Date: 2008-09-15 00:54:55 Lattice points Computational number theory Lattice problem Lattice-based cryptography Lattice Ideal lattice cryptography NTRUSign Lenstra–Lenstra–Lovász lattice basis reduction algorithm Reciprocal lattice Cryptography Mathematics Post-quantum cryptography
32	On the concrete hardness of Learning with Errors Martin R. Albrecht1 , Rachel Player1 , and Sam Scott1 Information Security Group, Royal Holloway, University of London Abstract. The Learning with Errors (LWE) problem has Add to Reading List Source URL: eprint.iacr.org Language: English - Date: 2015-01-19 12:06:15 Lattice points Computational number theory Abstract algebra Lattice problem Lattice reduction Lenstra–Lenstra–Lovász lattice basis reduction algorithm Learning with errors Lattice Projection Mathematics Cryptography Algebra
33	Cryptanalysis of a (Somewhat) Additively Homomorphic Encryption Scheme Used in PIR Tancrède Lepoint1 and Mehdi Tibouchi2 2 1 Add to Reading List Source URL: eprint.iacr.org Language: English - Date: 2015-01-09 03:49:32 Lattice points Linear algebra Computational number theory Homomorphic encryption Orthogonality Lenstra–Lenstra–Lovász lattice basis reduction algorithm Lattice Private information retrieval Paillier cryptosystem Cryptography Algebra Mathematics
34	Non-Abelian Analogs of Lattice Rounding Evgeni Begelfor Department of Computer Science The Hebrew University of Jerusalem [removed] Stephen D. Miller∗ Add to Reading List Source URL: eprint.iacr.org Language: English - Date: 2015-01-11 23:40:13 Lattice points Computational number theory Matrix theory Abstract algebra Lattice problem Lattice Lenstra–Lenstra–Lovász lattice basis reduction algorithm Vector space Matrix Algebra Mathematics Linear algebra
35	BKZ 2.0: Better Lattice Security Estimates Yuanmi Chen and Phong Q. Nguyen 1 2 Add to Reading List Source URL: www.iacr.org Language: English - Date: 2014-01-05 23:20:01 Computational number theory Abstract algebra Cryptography Lattice reduction Linear algebra Lattice problem Lenstra–Lenstra–Lovász lattice basis reduction algorithm Crystallography Lattice Mathematics Lattice points Algebra
36	Lattice Enumeration using Extreme Pruning Nicolas Gama1 , Phong Q. Nguyen2 , and Oded Regev3 1 GREYC and ENSICAEN, France. INRIA and ENS, France. http://www.di.ens.fr/~pnguyen/. Add to Reading List Source URL: www.iacr.org Language: English - Date: 2012-07-19 15:34:39 Lattice points Cryptography Computational number theory Vectors Lattice problem Lattice-based cryptography Lattice Lenstra–Lenstra–Lovász lattice basis reduction algorithm Algorithm Algebra Mathematics Linear algebra
37	! " Add to Reading List Source URL: www.ctc.gov.kw Language: English - Date: 2014-07-17 03:44:40 Computational number theory Lenstra–Lenstra–Lovász lattice basis reduction algorithm Classical cipher Mathematics Mathematical analysis Abstract algebra
38	Partial LLL Reduction Xiaohu Xie Xiao-Wen Chang Mazen Al Borno Add to Reading List Source URL: www.cs.mcgill.ca Language: English - Date: 2011-08-29 23:51:55 Computational number theory Lenstra–Lenstra–Lovász lattice basis reduction algorithm Matrices QR decomposition Orthogonal matrix Algebra Mathematics Numerical linear algebra
39	Fast Lattice Point Enumeration with Minimal Overhead∗ Daniele Micciancio UCSD [removed] Michael Walter Add to Reading List Source URL: eprint.iacr.org Language: English - Date: 2014-08-07 13:48:08 Computational complexity theory Lattice problem Computational number theory Lattice points Theoretical computer science Algorithm Lenstra–Lenstra–Lovász lattice basis reduction algorithm Time complexity Lattice-based cryptography Mathematics Applied mathematics Cryptography

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