Surveys and Lecture Notes

Survey

-[[[Cai99-ECCC]]] J.-Y. Cai. Some recent progress on the complexity of lattice problems. (ECCC TR99-006) -NTRU Cryptosystems. [[Peer Review and Independent Scrutiny of the NTRUEncrypt Public Key Cryptosystem:http://www.ntru.com/cryptolab/pdf/NTRUPeerReview_122001.pdf]] [pdf] -O. Regev. “Lattice-based cryptography” (CRYPTO 2006) -D. Micciancio and O. Regev. “Lattice-based cryptography.” (In Post-Quantum Cryptology) -J. Buchmann, R. Lindner, M. Rückert, and M. Schneider. “Post-Quantum Cryptography: Lattice Signatures.” (CECC 2008) -C. Peikert. “Some Recent Progress in Lattice-Based Cryptography .” (TCC 2009) -- Slides are available at Peikert's web site -D. Micciancio. “The Geometry of Lattice Cryptography.” (FOSAD VI, 2011) -Xavier Boyen. “Expressive Encryption Systems from Lattices.” (CANS 2011) -Thijs Laarhoven and Joop van de Pol and Benne de Weger. “Solving Hard Lattice Problems and the Security of Lattice-Based Cryptosystems.” ( [[Cryptology ePrint Archive - Report 2012/533:http://eprint.iacr.org/2012/533]] ) -[[[BCKSS12-Tatra]]] Rachid El Bansarkhani, Daniel Cabarcas, Po-Chun Kuo, Patrick Schmidt, Michael Schneider: A Selection of Recent Lattice-Based Signature and Encryption Schemes

Lecture [#a52ca8ac]

-Phong Nguyen. [Lattices in Cryptology:http://www.mi.informatik.uni-frankfurt.de/teaching/ss01/latticesincryptology/index.html] -O. Regev. [0368.4282 Lattices in computer science:http://www.cs.tau.ac.il/~odedr/teaching/latticesfall2004/] -D. Micciancio. [[CSE206A Lattices algorithms and applications (Spring 2007):http://www-cse.ucsd.edu/~daniele/CSE207C/]] -[MathInfo2010 - Lattice Algorithms:http://www2.lirmm.fr/arith/wiki/MathInfo2010/LatticeAlgorithmics] -[Public Key Cryptography and the Geometry of Numbers:http://www.math.leidenuniv.nl/~dfreeman/workshop.html] -[Lattice Crypto Day (LCD):http://www.di.ens.fr/~pnguyen/LCD/LCD.html] -Shai Halevi. [Homomorphic Encryption and Lattices@Tel-Aviv:http://www.cs.tau.ac.il/~shaihal/TAU-0368-4174.html] -Vinod Vaikuntanathan. [CSC2414 - Topics in Applied Discrete Mathematics, Lattices in Computer Science:http://www.cs.toronto.edu/~vinodv/COURSES/CSC2414-F11/index.html] -Nigel Smart. [FHE and MPC:http://www.cs.bris.ac.uk/~nigel/FHE-MPC/] -[[Lattice Crypto Day 2012 Japan (LCD2012J):http://researchmap.jp/izu_tetsuya/Lattice-Crypto-Day-2012-Japan/]] 2012/03/15 at IIJ -[2nd Bar-Ilan Winter School on Cryptography - Lattice-Based Cryptography and Applications:http://crypto.biu.ac.il/winterschool2012/] -[ECRYPT II Summer School on Lattices:http://latticeschool.di.uminho.pt/] -[ECRYPT II Post-Quantum Cryptography and Quantum Algorithms:http://lorentzcenter.nl/lc/web/2012/519/info.php3?wsid=519]

Book [#c842e6a8]

Bibliography [#c4d1699e]

-D. Stehle. [[Algorithmics and Lattices, some references:http://perso.ens-lyon.fr/damien.stehle/en-refreseaux/en-biblioreseaux.html]] -Daniel J. Bernstein and Tanja Lange. Bernstein. [[Post-quantum cryptography - Lattice-based public-key cryptography:http://pqcrypto.org/lattice.html]] -Lipmaa. [[Lattice Cryptography & Reduction:http://www.cs.ut.ee/~lipmaa/crypto/link/public/lattice/]]

Written on January 1, 2000