Lattice Decoding Attacks on Binary LWE

作者: Shi Bai , Steven D. Galbraith

DOI: 10.1007/978-3-319-08344-5_21

关键词:

摘要: We consider the binary-LWE problem, which is learning with errors problem when entries of secret vector are chosen from { 0, 1} or − 1, 1 }. Our main result an improved lattice decoding algorithm for binary-LWE, by translating to inhomogeneous short integer solution (ISIS) and then re-scaling lattice. also discuss modulus switching as approach problem. conclusion that easier than general LWE. give experimental results, theoretical estimates parameters achieve certain security levels.

参考文章(22)
Daniele Micciancio, Chris Peikert, Hardness of SIS and LWE with Small Parameters international cryptology conference. ,vol. 2013, pp. 21- 39 ,(2013) , 10.1007/978-3-642-40041-4_2
Yuanmi Chen, Phong Q. Nguyen, BKZ 2.0: better lattice security estimates international conference on the theory and application of cryptology and information security. ,vol. 7073, pp. 1- 20 ,(2011) , 10.1007/978-3-642-25385-0_1
Vadim Lyubashevsky, Lattice Signatures without Trapdoors Advances in Cryptology – EUROCRYPT 2012. ,vol. 7237, pp. 738- 755 ,(2012) , 10.1007/978-3-642-29011-4_43
Vadim Lyubashevsky, Daniele Micciancio, On Bounded Distance Decoding, Unique Shortest Vectors, and the Minimum Distance Problem international cryptology conference. pp. 577- 594 ,(2009) , 10.1007/978-3-642-03356-8_34
Mingjie Liu, Phong Q. Nguyen, Solving BDD by enumeration: an update the cryptographers track at the rsa conference. ,vol. 7779, pp. 293- 309 ,(2013) , 10.1007/978-3-642-36095-4_19
Sanjeev Arora, Rong Ge, New algorithms for learning in presence of errors international colloquium on automata languages and programming. pp. 403- 415 ,(2011) , 10.1007/978-3-642-22006-7_34
Nicolas Gama, Phong Q. Nguyen, Predicting Lattice Reduction Advances in Cryptology – EUROCRYPT 2008. pp. 31- 51 ,(2008) , 10.1007/978-3-540-78967-3_3
Nicolas Gama, Phong Q. Nguyen, Oded Regev, Lattice enumeration using extreme pruning theory and application of cryptographic techniques. pp. 257- 278 ,(2010) , 10.1007/978-3-642-13190-5_13
Zvika Brakerski, Vinod Vaikuntanathan, Efficient Fully Homomorphic Encryption from (Standard) LWE 2011 IEEE 52nd Annual Symposium on Foundations of Computer Science. pp. 97- 106 ,(2011) , 10.1109/FOCS.2011.12