메뉴 건너뛰기




Volumn 8308 LNCS, Issue , 2013, Pages 45-64

Improved security for a ring-based fully homomorphic encryption scheme

Author keywords

[No Author keywords available]

Indexed keywords

SECURITY OF DATA;

EID: 84893357415     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-642-45239-0_4     Document Type: Conference Paper
Times cited : (343)

References (26)
  • 1
    • 70350342511 scopus 로고    scopus 로고
    • Fast cryptographic primitives and circular-secure encryption based on hard learning problems
    • Halevi, S. (ed.) Springer, Heidelberg
    • Applebaum, B., Cash, D., Peikert, C., Sahai, A.: Fast cryptographic primitives and circular-secure encryption based on hard learning problems. In: Halevi, S. (ed.) CRYPTO 2009. LNCS, vol. 5677, pp. 595-618. Springer, Heidelberg (2009)
    • (2009) CRYPTO 2009. LNCS , vol.5677 , pp. 595-618
    • Applebaum, B.1    Cash, D.2    Peikert, C.3    Sahai, A.4
  • 3
    • 84865507640 scopus 로고    scopus 로고
    • Fully homomorphic encryption without modulus switching from classical gapSVP
    • Safavi-Naini, R., Canetti, R. (eds.) Springer, Heidelberg
    • Brakerski, Z.: Fully homomorphic encryption without modulus switching from classical gapSVP. In: Safavi-Naini, R., Canetti, R. (eds.) CRYPTO 2012. LNCS, vol. 7417, pp. 868-886. Springer, Heidelberg (2012)
    • (2012) CRYPTO 2012. LNCS , vol.7417 , pp. 868-886
    • Brakerski, Z.1
  • 4
    • 84856466374 scopus 로고    scopus 로고
    • Fully homomorphic encryption without bootstrapping
    • Brakerski, Z., Gentry, C., Vaikuntanathan, V.: Fully homomorphic encryption without bootstrapping. In: ITCS, pp. 309-325 (2012)
    • (2012) ITCS , pp. 309-325
    • Brakerski, Z.1    Gentry, C.2    Vaikuntanathan, V.3
  • 5
    • 80955132201 scopus 로고    scopus 로고
    • Efficient fully homomorphic encryption from (standard) LWE
    • Brakerski, Z., Vaikuntanathan, V.: Efficient fully homomorphic encryption from (standard) LWE. In: FOCS, pp. 97-106 (2011)
    • (2011) FOCS , pp. 97-106
    • Brakerski, Z.1    Vaikuntanathan, V.2
  • 6
    • 80051986706 scopus 로고    scopus 로고
    • Fully homomorphic encryption from ring-LWE and security for key dependent messages
    • Rogaway, P. (ed.) Springer, Heidelberg
    • Brakerski, Z., Vaikuntanathan, V.: Fully homomorphic encryption from ring-LWE and security for key dependent messages. In: Rogaway, P. (ed.) CRYPTO 2011. LNCS, vol. 6841, pp. 505-524. Springer, Heidelberg (2011)
    • (2011) CRYPTO 2011. LNCS , vol.6841 , pp. 505-524
    • Brakerski, Z.1    Vaikuntanathan, V.2
  • 7
    • 82955184568 scopus 로고    scopus 로고
    • BKZ 2.0: Better lattice security estimates
    • Lee, D.H., Wang, X. (eds.) Springer, Heidelberg
    • Chen, Y., Nguyen, P.Q.: BKZ 2.0: Better lattice security estimates. In: Lee, D.H., Wang, X. (eds.) ASIACRYPT 2011. LNCS, vol. 7073, pp. 1-20. Springer, Heidelberg (2011)
    • (2011) ASIACRYPT 2011. LNCS , vol.7073 , pp. 1-20
    • Chen, Y.1    Nguyen, P.Q.2
  • 8
    • 84883356524 scopus 로고    scopus 로고
    • Batch fully homomorphic encryption over the integers
    • Johansson, T., Nguyen, P.Q. (eds.) Springer, Heidelberg
    • Cheon, J.H., Coron, J.-S., Kim, J., Lee, M.S., Lepoint, T., Tibouchi, M., Yun, A.: Batch fully homomorphic encryption over the integers. In: Johansson, T., Nguyen, P.Q. (eds.) EUROCRYPT 2013. LNCS, vol. 7881, pp. 315-335. Springer, Heidelberg (2013)
    • (2013) EUROCRYPT 2013. LNCS , vol.7881 , pp. 315-335
    • Cheon, J.H.1    Coron, J.-S.2    Kim, J.3    Lee, M.S.4    Lepoint, T.5    Tibouchi, M.6    Yun, A.7
  • 10
    • 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
  • 11
    • 79957974657 scopus 로고    scopus 로고
    • Implementing Gentry's fully-homomorphic encryption scheme
    • Paterson, K.G. (ed.) Springer, Heidelberg
    • Gentry, C., Halevi, S.: Implementing Gentry's fully-homomorphic encryption scheme. In: Paterson, K.G. (ed.) EUROCRYPT 2011. LNCS, vol. 6632, pp. 129-148. Springer, Heidelberg (2011)
    • (2011) EUROCRYPT 2011. LNCS , vol.6632 , pp. 129-148
    • Gentry, C.1    Halevi, S.2
  • 12
    • 84865518868 scopus 로고    scopus 로고
    • Homomorphic evaluation of the AES circuit
    • Safavi-Naini, R., Canetti, R. (eds.) Springer, Heidelberg
    • Gentry, C., Halevi, S., Smart, N.P.: Homomorphic evaluation of the AES circuit. In: Safavi-Naini, R., Canetti, R. (eds.) CRYPTO 2012. LNCS, vol. 7417, pp. 850-867. Springer, Heidelberg (2012)
    • (2012) CRYPTO 2012. LNCS , vol.7417 , pp. 850-867
    • Gentry, C.1    Halevi, S.2    Smart, N.P.3
  • 13
    • 84947808606 scopus 로고    scopus 로고
    • NTRU: A ring-based public key cryptosystem
    • Buhler, J.P. (ed.) Springer, Heidelberg
    • Hoffstein, J., Pipher, J., Silverman, J.H.: NTRU: A ring-based public key cryptosystem. In: Buhler, J.P. (ed.) ANTS 1998. LNCS, vol. 1423, pp. 267-288. Springer, Heidelberg (1998)
    • (1998) ANTS 1998. LNCS , vol.1423 , pp. 267-288
    • Hoffstein, J.1    Pipher, J.2    Silverman, J.H.3
  • 14
    • 80955157888 scopus 로고    scopus 로고
    • Can homomorphic encryption be practical
    • Cachin, C., Ristenpart, T. (eds.) ACM
    • Lauter, K., Naehrig, M., Vaikuntanathan, V.: Can homomorphic encryption be practical. In: Cachin, C., Ristenpart, T. (eds.) CCSW, pp. 113-124. ACM (2011)
    • (2011) CCSW , pp. 113-124
    • Lauter, K.1    Naehrig, M.2    Vaikuntanathan, V.3
  • 15
    • 79951793525 scopus 로고    scopus 로고
    • Better key sizes (and attacks) for LWE-based encryption
    • Kiayias, A. (ed.) Springer, Heidelberg
    • Lindner, R., Peikert, C.: Better key sizes (and attacks) for LWE-based encryption. In: Kiayias, A. (ed.) CT-RSA 2011. LNCS, vol. 6558, pp. 319-339. Springer, Heidelberg (2011)
    • (2011) CT-RSA 2011. LNCS , vol.6558 , pp. 319-339
    • Lindner, R.1    Peikert, C.2
  • 16
    • 84862629748 scopus 로고    scopus 로고
    • On-the-fly multiparty computation on the cloud via multikey fully homomorphic encryption
    • opez-Alt, A., Tromer, E., Vaikuntanathan, V.: On-the-fly multiparty computation on the cloud via multikey fully homomorphic encryption. In: STOC, pp. 1219-1234 (2012)
    • (2012) STOC , pp. 1219-1234
    • Opez-Alta1    Tromere2    Vaikuntanathan, V.3
  • 17
    • 77954639468 scopus 로고    scopus 로고
    • On ideal lattices and learning with errors over rings
    • Gilbert, H. (ed.) 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. LNCS , vol.6110 , pp. 1-23
    • Lyubashevsky, V.1    Peikert, C.2    Regev, O.3
  • 18
    • 17744363914 scopus 로고    scopus 로고
    • Worst-case to average-case reductions based on Gaussian measures
    • IEEE Computer Society
    • Micciancio, D., Regev, O.:Worst-case to average-case reductions based on Gaussian measures. In: SIAM J. on Comp., pp. 372-381. IEEE Computer Society (2004)
    • (2004) SIAM J. on Comp. , pp. 372-381
    • Micciancio, D.1    Regev, O.2
  • 19
    • 70350294927 scopus 로고    scopus 로고
    • Lattice-based cryptography
    • Bernstein, D.J., Buchmann, J., Dahmen, E. (eds.) Springer, Heidelberg
    • Micciancio, D., Regev, O.: Lattice-based cryptography. In: Bernstein, D.J., Buchmann, J., Dahmen, E. (eds.) Post-Quantum Cryptography, pp. 147-191. Springer, Heidelberg (2009)
    • (2009) Post-Quantum Cryptography , pp. 147-191
    • Micciancio, D.1    Regev, O.2
  • 20
    • 80051993169 scopus 로고    scopus 로고
    • Fully homomorphic encryption over the integers with shorter public keys
    • Rogaway, P. (ed.) Springer, Heidelberg
    • Coron, J.-S., Mandal, A., Naccache, D., Tibouchi, M.: Fully homomorphic encryption over the integers with shorter public keys. In: Rogaway, P. (ed.) CRYPTO 2011. LNCS, vol. 6841, pp. 487-504. Springer, Heidelberg (2011)
    • (2011) CRYPTO 2011. LNCS , vol.6841 , pp. 487-504
    • Coron, J.-S.1    Mandal, A.2    Naccache, D.3    Tibouchi, M.4
  • 22
    • 0023532388 scopus 로고
    • A hierarchy of polynomial time lattice basis reduction algorithms
    • Schnorr, C.-P.: A hierarchy of polynomial time lattice basis reduction algorithms. Theor. Comput. Sci. 53, 201-224 (1987)
    • (1987) Theor. Comput. Sci. , vol.53 , pp. 201-224
    • Schnorr, C.-P.1
  • 24
    • 79955532534 scopus 로고    scopus 로고
    • Fully homomorphic encryption with relatively small key and ciphertext sizes
    • Nguyen, P.Q., Pointcheval, D. (eds.) Springer, Heidelberg
    • Smart, N.P., Vercauteren, F.: Fully homomorphic encryption with relatively small key and ciphertext sizes. In: Nguyen, P.Q., Pointcheval, D. (eds.) PKC 2010. LNCS, vol. 6056, pp. 420-443. Springer, Heidelberg (2010)
    • (2010) PKC 2010. LNCS , vol.6056 , pp. 420-443
    • Smart, N.P.1    Vercauteren, F.2
  • 25
    • 79958014767 scopus 로고    scopus 로고
    • Making ntru as secure as worst-case problems over ideal lattices
    • Paterson, K.G. (ed.) Springer, Heidelberg
    • Stehe, D., Steinfeld, R.: Making NTRU as secure as worst-case problems over ideal lattices. In: Paterson, K.G. (ed.) EUROCRYPT 2011. LNCS, vol. 6632, pp. 27-47. Springer, Heidelberg (2011)
    • (2011) EUROCRYPT 2011. LNCS , vol.6632 , pp. 27-47
    • Stehe, D.1    Steinfeld, R.2
  • 26
    • 77954642756 scopus 로고    scopus 로고
    • Fully homomorphic encryption over the integers
    • Gilbert, H. (ed.) Springer, Heidelberg
    • van Dijk, M., Gentry, C., Halevi, S., Vaikuntanathan, V.: Fully homomorphic encryption over the integers. In: Gilbert, H. (ed.) EUROCRYPT 2010. LNCS, vol. 6110, pp. 24-43. Springer, Heidelberg (2010)
    • (2010) EUROCRYPT 2010. LNCS , vol.6110 , pp. 24-43
    • Van Dijk, M.1    Gentry, C.2    Halevi, S.3    Vaikuntanathan, V.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.