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Volumn 6223 LNCS, Issue , 2010, Pages 80-97

An efficient and parallel gaussian sampler for lattices

Author keywords

[No Author keywords available]

Indexed keywords

CRYPTOGRAPHIC APPLICATIONS; CRYPTOGRAPHIC SCHEMES; GAUSSIAN SAMPLER; GAUSSIAN-LIKE DISTRIBUTIONS; GAUSSIANS; HIGH QUALITY; LATTICE POINTS; LATTICE-BASED CRYPTOGRAPHY; NTRUSIGN; POLYNOMIAL-TIME ALGORITHMS; RIGOROUS ANALYSIS; SAMPLING ALGORITHM;

EID: 77956996919     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-642-14623-7_5     Document Type: Conference Paper
Times cited : (245)

References (21)
  • 1
    • 77954625601 scopus 로고    scopus 로고
    • Efficient lattice (H)IBE in the standard model
    • Gilbert, H. (ed.) LNCS Springer, Heidelberg
    • Agrawal, S., Boneh, D., Boyen, X.: Efficient lattice (H)IBE in the standard model. In: Gilbert, H. (ed.) EUROCRYPT 2010. LNCS, vol. 6110, pp. 553-572. Springer, Heidelberg (2010)
    • (2010) EUROCRYPT 2010 , vol.6110 , pp. 553-572
    • Agrawal, S.1    Boneh, D.2    Boyen, X.3
  • 2
    • 84887467921 scopus 로고    scopus 로고
    • Generating hard instances of the short basis problem
    • Wiedermann, J., Van Emde Boas, P., Nielsen, M. (eds.) LNCS Springer, Heidelberg
    • Ajtai, M.: Generating hard instances of the short basis problem. In: Wiedermann, J., Van Emde Boas, P., Nielsen, M. (eds.) ICALP 1999. LNCS, vol. 1644, pp. 1-9. Springer, Heidelberg (1999)
    • (1999) ICALP 1999 , vol.1644 , pp. 1-9
    • Ajtai, M.1
  • 3
    • 38749147177 scopus 로고    scopus 로고
    • Generating hard instances of lattice problems
    • Preliminary version in STOC 1996 (1996)
    • Ajtai, M.: Generating hard instances of lattice problems. Quaderni di Matematica 13, 1-32 (2004); Preliminary version in STOC 1996 (1996)
    • (2004) Quaderni Di Matematica , vol.13 , pp. 1-32
    • Ajtai, M.1
  • 4
    • 84880234544 scopus 로고    scopus 로고
    • Generating shorter bases for hard random lattices
    • Alwen, J., Peikert, C.: Generating shorter bases for hard random lattices. In: STACS, pp. 75-86 (2009)
    • (2009) STACS , pp. 75-86
    • Alwen, J.1    Peikert, C.2
  • 5
    • 51249173801 scopus 로고
    • On Lovász' lattice reduction and the nearest lattice point problem
    • Babai, L.: On Lovász' lattice reduction and the nearest lattice point problem. Combinatorica 6(1), 1-13 (1986)
    • (1986) Combinatorica , vol.6 , Issue.1 , pp. 1-13
    • Babai, L.1
  • 6
    • 77954654490 scopus 로고    scopus 로고
    • Bonsai trees, or how to delegate a lattice basis
    • Gilbert, H. (ed.) LNCS Springer, Heidelberg
    • Cash, D., Hofheinz, D., Kiltz, E., Peikert, C.: Bonsai trees, or how to delegate a lattice basis. In: Gilbert, H. (ed.) EUROCRYPT 2010. LNCS, vol. 6110, pp. 523-552. Springer, Heidelberg (2010)
    • (2010) EUROCRYPT 2010 , vol.6110 , pp. 523-552
    • Cash, D.1    Hofheinz, D.2    Kiltz, E.3    Peikert, C.4
  • 7
    • 70350642087 scopus 로고    scopus 로고
    • Fully homomorphic encryption using ideal lattices
    • Gentry, C.: Fully homomorphic encryption using ideal lattices. In: STOC, pp. 169-178 (2009)
    • (2009) STOC , pp. 169-178
    • Gentry, C.1
  • 8
    • 51849137205 scopus 로고    scopus 로고
    • Trapdoors for hard lattices and new cryptographic constructions
    • Gentry, C., Peikert, C., Vaikuntanathan, V.: Trapdoors for hard lattices and new cryptographic constructions. In: STOC, pp. 197-206 (2008)
    • (2008) STOC , pp. 197-206
    • Gentry, C.1    Peikert, C.2    Vaikuntanathan, V.3
  • 9
    • 33646262791 scopus 로고    scopus 로고
    • NTRUSIGN: Digital signatures using the NTRU lattice
    • Joye, M. (ed.) LNCS Springer, Heidelberg
    • Hoffstein, J., Howgrave-Graham, N., Pipher, J., Silverman, J.H., Whyte, W.: NTRUSIGN: Digital signatures using the NTRU lattice. In: Joye, M. (ed.) CT-RSA 2003. LNCS, vol. 2612, pp. 122-140. Springer, Heidelberg (2003)
    • (2003) CT-RSA 2003 , vol.2612 , pp. 122-140
    • Hoffstein, J.1    Howgrave-Graham, N.2    Pipher, J.3    Silverman, J.H.4    Whyte, W.5
  • 10
    • 84947808606 scopus 로고    scopus 로고
    • NTRU: A ring-based public key cryp-tosystem
    • Buhler, J.P. (ed.) LNCS Springer, Heidelberg
    • Hoffstein, J., Pipher, J., Silverman, J.H.: NTRU: A ring-based public key cryp-tosystem. In: Buhler, J.P. (ed.) ANTS 1998. LNCS, vol. 1423, pp. 267-288. Springer, Heidelberg (1998)
    • (1998) ANTS 1998 , vol.1423 , pp. 267-288
    • Hoffstein, J.1    Pipher, J.2    Silverman, J.H.3
  • 11
    • 0033896372 scopus 로고    scopus 로고
    • Finding the closest lattice vector when it's unusually close
    • Klein, P.N.: Finding the closest lattice vector when it's unusually close. In: SODA, pp. 937-941 (2000)
    • (2000) SODA , pp. 937-941
    • Klein, P.N.1
  • 12
    • 77957003518 scopus 로고
    • Bartlett decomposition and wishart distribution
    • Kshirsagar, A.M.: Bartlett decomposition and Wishart distribution. The Annals of Mathematical Statistics 30(1), 239-241 (1959), http://www.jstor.org/ stable/2237140
    • (1959) The Annals of Mathematical Statistics , vol.30 , Issue.1 , pp. 239-241
    • Kshirsagar, A.M.1
  • 13
    • 40249114814 scopus 로고    scopus 로고
    • Asymptotically efficient lattice-based digital signatures
    • Canetti, R. (ed.) LNCS Springer, Heidelberg
    • Lyubashevsky, V., Micciancio, D.: Asymptotically efficient lattice-based digital signatures. In: Canetti, R. (ed.) TCC 2008. LNCS, vol. 4948, pp. 37-54. Springer, Heidelberg (2008)
    • (2008) TCC 2008 , vol.4948 , pp. 37-54
    • Lyubashevsky, V.1    Micciancio, D.2
  • 14
    • 77954639468 scopus 로고    scopus 로고
    • On ideal lattices and learning with errors over rings
    • Gilbert, H. (ed.) LNCS Springer, Heidelberg
    • Lyubashevsky, V., Peikert, C., Regev, O.: On ideal lattices and learning with errors over rings. In: Gilbert, H. (ed.) EUROCRYPT 2010. LNCS, vol. 6110, pp. 1-23. Springer, Heidelberg (2010)
    • (2010) EUROCRYPT 2010 , vol.6110 , pp. 1-23
    • Lyubashevsky, V.1    Peikert, C.2    Regev, O.3
  • 16
    • 38749089099 scopus 로고    scopus 로고
    • Generalized compact knapsacks, cyclic lattices, and efficient oneway functions
    • Preliminary version in FOCS 2002 (2002)
    • Micciancio, D.: Generalized compact knapsacks, cyclic lattices, and efficient oneway functions. Computational Complexity 16(4), 365-411 (2007); Preliminary version in FOCS 2002 (2002)
    • (2007) Computational Complexity , vol.16 , Issue.4 , pp. 365-411
    • Micciancio, D.1
  • 17
    • 38749097694 scopus 로고    scopus 로고
    • Worst-case to average-case reductions based on Gaussian measures
    • Preliminary version in FOCS 2004 (2004)
    • Micciancio, D., Regev, O.: Worst-case to average-case reductions based on Gaussian measures. SIAM J. Comput. 37(1), 267-302 (2007); Preliminary version in FOCS 2004 (2004)
    • (2007) SIAM J. Comput. , vol.37 , Issue.1 , pp. 267-302
    • Micciancio, D.1    Regev, O.2
  • 18
    • 64249149689 scopus 로고    scopus 로고
    • Learning a parallelepiped: Cryptanalysis of GGH and NTRU signatures
    • Preliminary version in Eurocrypt 2006 (2006)
    • Nguyen, P.Q., Regev, O.: Learning a parallelepiped: Cryptanalysis of GGH and NTRU signatures. J. Cryptology 22(2), 139-160 (2009); Preliminary version in Eurocrypt 2006 (2006)
    • (2009) J. Cryptology , vol.22 , Issue.2 , pp. 139-160
    • Nguyen, P.Q.1    Regev, O.2
  • 19
    • 51849098944 scopus 로고    scopus 로고
    • Noninteractive statistical zero-knowledge proofs for lattice problems
    • Wagner, D. (ed.) LNCS Springer, Heidelberg
    • Peikert, C., Vaikuntanathan, V.: Noninteractive statistical zero-knowledge proofs for lattice problems. In: Wagner, D. (ed.) CRYPTO 2008. LNCS, vol. 5157, pp. 536-553. Springer, Heidelberg (2008)
    • (2008) CRYPTO 2008 , vol.5157 , pp. 536-553
    • Peikert, C.1    Vaikuntanathan, V.2
  • 20
    • 70349309809 scopus 로고    scopus 로고
    • On lattices, learning with errors, random linear codes, and cryptography
    • Preliminary version in STOC 2005 (2005)
    • Regev, O.: On lattices, learning with errors, random linear codes, and cryptography. J. ACM 56(6) (2009); Preliminary version in STOC 2005 (2005)
    • (2009) J. ACM , vol.56 , Issue.6
    • Regev, O.1
  • 21
    • 72449142727 scopus 로고    scopus 로고
    • Efficient public key encryption based on ideal lattices
    • Matsui, M. (ed.) LNCS Springer, Heidelberg
    • Stehlé, D., Steinfeld, R., Tanaka, K., Xagawa, K.: Efficient public key encryption based on ideal lattices. In: Matsui, M. (ed.) ASIACRYPT 2009. LNCS, vol. 5912, pp. 617-635. Springer, Heidelberg (2009)
    • (2009) ASIACRYPT 2009 , vol.5912 , pp. 617-635
    • Stehlé, D.1    Steinfeld, R.2    Tanaka, K.3    Xagawa, K.4


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