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Improvement on Ahn et al.’s RSA P-Homomorphic Signature Scheme

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Security and Privacy in Communication Networks (SecureComm 2012)

Abstract

P-homomorphic signature is a general framework for computing on authenticated data, which is recently proposed by Ahn et al. With P-homomorphic signature, any third party can derive a signature on the object message m′ from a signature of m, if m′ and m satisfy P(m,m′) = 1 for some predicate P which denotes the authenticatable relationship between m′ and m. Ahn et al. proposed a RSA P-homomorphic signature scheme by using a RSA accumulator, which is very efficient in space. However, the computational cost of verification and derivation is very heavy. We present an improved P-homomorphic signature scheme based on factoring problem. In our construction, the time efficiency of both verification and derivation are much better than Ahn’s scheme.

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References

  1. Gentry, C.: A fully homomorphic encryption scheme. PhD thesis, Stanford University (2009)

    Google Scholar 

  2. 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)

    Chapter  Google Scholar 

  3. 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)

    Chapter  Google Scholar 

  4. Ateniese, G., Chou, D.H., de Medeiros, B., Tsudik, G.: Sanitizable Signatures. In: De Capitani di Vimercati, S., Syverson, P.F., Gollmann, D. (eds.) ESORICS 2005. LNCS, vol. 3679, pp. 159–177. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  5. Miyazaki, K., Hanaoka, G., Imai, H.: Digitally signed document sanitizing scheme based on bilinear maps. In: ASIACCS 2006: Proceedings of the 2006 ACM Symposium on Information, Computer and Communications Security, pp. 343–354 (2006)

    Google Scholar 

  6. Haber, S., Hatano, Y., Honda, Y., Horne, W., Miyazaki, K., Sander, T., Tezoku, S., Yao, D.: Efficient signature schemes supporting redaction, pseudonymization, and data deidentification. In: ASIACCS 2008, pp. 353–362 (2008)

    Google Scholar 

  7. Brzuska, C., Fischlin, M., Freudenreich, T., Lehmann, A., Page, M., Schelbert, J., Schröder, D., Volk, F.: Security of Sanitizable Signatures Revisited. In: Jarecki, S., Tsudik, G. (eds.) PKC 2009. LNCS, vol. 5443, pp. 317–336. Springer, Heidelberg (2009)

    Chapter  Google Scholar 

  8. Brzuska, C., Fischlin, M., Lehmann, A., Schröder, D.: Unlinkability of Sanitizable Signatures. In: Nguyen, P.Q., Pointcheval, D. (eds.) PKC 2010. LNCS, vol. 6056, pp. 444–461. Springer, Heidelberg (2010)

    Chapter  Google Scholar 

  9. Boneh, D., Freeman, D., Katz, J., Waters, B.: Signing a Linear Subspace: Signature Schemes for Network Coding. In: Jarecki, S., Tsudik, G. (eds.) PKC 2009. LNCS, vol. 5443, pp. 68–87. Springer, Heidelberg (2009)

    Chapter  Google Scholar 

  10. Gennaro, R., Katz, J., Krawczyk, H., Rabin, T.: Secure Network Coding over the Integers. In: Nguyen, P.Q., Pointcheval, D. (eds.) PKC 2010. LNCS, vol. 6056, pp. 142–160. Springer, Heidelberg (2010)

    Chapter  Google Scholar 

  11. Boneh, D., Freeman, D.M.: Homomorphic Signatures for Polynomial Functions. In: Paterson, K.G. (ed.) EUROCRYPT 2011. LNCS, vol. 6632, pp. 149–168. Springer, Heidelberg (2011)

    Chapter  Google Scholar 

  12. Boneh, D., Freeman, D.M.: Linearly Homomorphic Signatures over Binary Fields and New Tools for Lattice-Based Signatures. In: Catalano, D., Fazio, N., Gennaro, R., Nicolosi, A. (eds.) PKC 2011. LNCS, vol. 6571, pp. 1–16. Springer, Heidelberg (2011)

    Chapter  Google Scholar 

  13. Wei, L., Coull, S.E., Reiter, M.K.: Bounded vector signatures and their applications. In: ASIACCS 2011, pp. 277–285 (2011)

    Google Scholar 

  14. Hevia, A., Micciancio, D.: The Provable Security of Graph-Based One-Time Signatures and Extensions to Algebraic Signature Schemes. In: Zheng, Y. (ed.) ASIACRYPT 2002. LNCS, vol. 2501, pp. 379–396. Springer, Heidelberg (2002)

    Chapter  Google Scholar 

  15. Bellare, M., Neven, G.: Transitive signatures: New schemes and proofs. IEEE Transactions on Information Theory 51, 2133–2151 (2005)

    Article  MathSciNet  MATH  Google Scholar 

  16. Shahandashti, S.F., Salmasizadeh, M., Mohajeri, J.: A Provably Secure Short Transitive Signature Scheme from Bilinear Group Pairs. In: Blundo, C., Cimato, S. (eds.) SCN 2004. LNCS, vol. 3352, pp. 60–76. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  17. Yi, X.: Directed Transitive Signature Scheme. In: Abe, M. (ed.) CT-RSA 2007. LNCS, vol. 4377, pp. 129–144. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  18. Neven, G.: A simple transitive signature scheme for directed trees. Theoretical Computer Science 396(1-3), 277–282 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  19. Ahn, J.H., Boneh, D., Camenisch, J., Hohenberger, S., Shelat, A., Waters, B.: Computing on Authenticated Data. Cryptology ePrint Archive: Report 2011/096, http://eprint.iacr.org/2011/096

  20. Shoup, V.: A Computational Introduction to Number Theory and Algebra, p. 534. Cambridge University Press (2005)

    Google Scholar 

  21. Cao, Z., Zhu, H., Lu, R.: Provably secure robust threshold partial blind signature. Science in China Series F: Information Sciences 49(5), 604–615 (2006)

    Article  MathSciNet  Google Scholar 

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Wang, Z. (2013). Improvement on Ahn et al.’s RSA P-Homomorphic Signature Scheme. In: Keromytis, A.D., Di Pietro, R. (eds) Security and Privacy in Communication Networks. SecureComm 2012. Lecture Notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering, vol 106. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-36883-7_2

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  • DOI: https://doi.org/10.1007/978-3-642-36883-7_2

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-36882-0

  • Online ISBN: 978-3-642-36883-7

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