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Privacy Preserving Data Processing with Collaboration of Homomorphic Cryptosystems

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Financial Cryptography and Data Security (FC 2013)

Part of the book series: Lecture Notes in Computer Science ((LNSC,volume 7862))

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Abstract

We propose a privacy-preserving data processing system using homomorphic cryptosystem. Proposed system consists of several functionalities corresponding to addition and multiplication of plaintexts encrypted in ciphertexts. Using these functionalities repeatedly, any multivariate polynomial evaluation of secret inputs can be achieved. We clarify the role and the function of each organization participating in the process — custodians of personal data, processing center of cryptographic function, and computing center. The cooperation of several entities makes arbitrary times of the calculations, which is a requirement of fully homomorphic encryption, more efficient. We give security proofs of the scheme and show the result of implementation of the scheme.

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References

  1. Benaloh, J.: Dense Probabilistic Encryption. In: Proceedings of the Workshop on Selected Areas of Cryptography (SAC 1994), pp. 120–128 (1994)

    Google Scholar 

  2. Cramer, R., Damgård, I., Nielsen, J.B.: Secure Multiparty Computation — Book Draft, http://daimi.au.dk/~ivan/MPCbook.pdf

  3. Damgård, I., Jurik, M.: A generalisation, a simplification and some applications of Paillier’s probabilistic public-key system. In: Kim, K.-C. (ed.) PKC 2001. LNCS, vol. 1992, pp. 119–136. Springer, Heidelberg (2001)

    Chapter  Google Scholar 

  4. Elgamal, T.: A public key cryptosystem and a signature scheme based on discrete logarithms. IEEE Transactions on Information Theory 31(4), 469–472 (1985)

    Article  MathSciNet  MATH  Google Scholar 

  5. Gentry, C.: A fully homomorphic encryption scheme. Ph. D. Thesis, Stanford University (2009)

    Google Scholar 

  6. Goldreich, O., Micali, S., Wigderson, A.: How to play any mental game or a completeness theorem for protocols with honest majority. In: Proc. STOC 1987, pp. 218–229 (1987)

    Google Scholar 

  7. Lauter, K., Naehrig, M., Vaikuntanathan, V.: Can homomorphic encryption be practical? In: Proc. CCSW 2011, pp. 113–124. ACM Press (2011)

    Google Scholar 

  8. Okamoto, T., Uchiyama, S.: A new public-key cryptosystem as secure as factoring. In: Nyberg, K. (ed.) EUROCRYPT 1998. LNCS, vol. 1403, pp. 308–318. Springer, Heidelberg (1998)

    Chapter  Google Scholar 

  9. Paillier, P.: Public-key cryptosystems based on composite degree residuosity classes. In: Stern, J. (ed.) EUROCRYPT 1999. LNCS, vol. 1592, pp. 223–238. Springer, Heidelberg (1999)

    Chapter  Google Scholar 

  10. Yao, A.C.-C.: How to generate and exchange secrets (extended abstract). In: Proc. FOCS 1986, pp. 162–167 (1986)

    Google Scholar 

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Tsujii, S., Doi, H., Fujita, R., Gotaishi, M., Tsunoo, Y., Syouji, T. (2013). Privacy Preserving Data Processing with Collaboration of Homomorphic Cryptosystems. In: Adams, A.A., Brenner, M., Smith, M. (eds) Financial Cryptography and Data Security. FC 2013. Lecture Notes in Computer Science, vol 7862. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-41320-9_14

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  • DOI: https://doi.org/10.1007/978-3-642-41320-9_14

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-41319-3

  • Online ISBN: 978-3-642-41320-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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