Nothing Special   »   [go: up one dir, main page]

Skip to main content

Hierarchical Functional Signcryption: Notion and Construction

  • Conference paper
  • First Online:
Provable Security (ProvSec 2019)

Part of the book series: Lecture Notes in Computer Science ((LNSC,volume 11821))

Included in the following conference series:

Abstract

With the purpose of achieving fine-grained access control over the signing and decryption capabilities in the context of a traditional digital signcryption scheme, the concept of functional signcryption (FSC) is introduced by Datta et al. (ProvSec 2015) to provide the functionalities of both functional encryption (FE) and functional signature (FS) in an integrated paradigm. In this paper, we introduce the notion of hierarchical functional signcryption (HFSC), which augments the standard functional signcryption with hierarchical delegation capabilities on both signcrypting and unsigncrypting, thereby significantly expanding the scope of functional signcryption in hierarchical access-control application. More precisely, our contributions are two-fold: (i) we formalize the syntax of HFSC and its security notion, (ii) we provide a generic construction of HFSC based on cryptographic building blocks including indistinguishability obfuscation (iO) and statistically simulation-sound non-interactive zero-knowledge proof of knowledge (SSS-NIZKPoK) for NP relations, and we formally shows that it satisfies selective message confidentiality and selective ciphertext unforgeability.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Similar content being viewed by others

References

  1. Ananth, P., Boneh, D., Garg, S., Sahai, A., Zhandry, M.: Differing-inputs obfuscation and applications. IACR Cryptology ePrint Archive 2013, 689 (2013)

    Google Scholar 

  2. Backes, M., Meiser, S., Schröder, D.: Delegatable functional signatures. In: Cheng, C.-M., Chung, K.-M., Persiano, G., Yang, B.-Y. (eds.) PKC 2016. LNCS, vol. 9614, pp. 357–386. Springer, Heidelberg (2016). https://doi.org/10.1007/978-3-662-49384-7_14

    Chapter  Google Scholar 

  3. Boyle, E., Goldwasser, S., Ivan, I.: Functional signatures and pseudorandom functions. In: Krawczyk, H. (ed.) PKC 2014. LNCS, vol. 8383, pp. 501–519. Springer, Heidelberg (2014). https://doi.org/10.1007/978-3-642-54631-0_29

    Chapter  Google Scholar 

  4. Brakerski, Z., Chandran, N., Goyal, V., Jain, A., Sahai, A., Segev, G.: Hierarchical functional encryption (2017)

    Google Scholar 

  5. Brakerski, Z., Dagmi, O.: Shorter circuit obfuscation in challenging security models. In: Zikas, V., De Prisco, R. (eds.) SCN 2016. LNCS, vol. 9841, pp. 551–570. Springer, Cham (2016). https://doi.org/10.1007/978-3-319-44618-9_29

    Chapter  MATH  Google Scholar 

  6. Chandran, N., Goyal, V., Jain, A., Sahai, A.: Functional encryption: decentralised and delegatable. IACR Cryptology ePrint Archive 2015, 1017 (2015)

    Google Scholar 

  7. Datta, P., Dutta, R., Mukhopadhyay, S.: Functional signcryption: notion, construction, and applications. In: Au, M.-H., Miyaji, A. (eds.) ProvSec 2015. LNCS, vol. 9451, pp. 268–288. Springer, Cham (2015). https://doi.org/10.1007/978-3-319-26059-4_15

    Chapter  Google Scholar 

  8. Garg, S., Gentry, C., Halevi, S., Raykova, M., Sahai, A., Waters, B.: Candidate indistinguishability obfuscation and functional encryption for all circuits. In: IEEE Symposium on Foundations of Computer Science (2013)

    Google Scholar 

  9. Garg, S., Miles, E., Mukherjee, P., Sahai, A., Srinivasan, A., Zhandry, M.: Secure obfuscation in a weak multilinear map model. In: Hirt, M., Smith, A. (eds.) TCC 2016. LNCS, vol. 9986, pp. 241–268. Springer, Heidelberg (2016). https://doi.org/10.1007/978-3-662-53644-5_10

    Chapter  Google Scholar 

  10. Groth, J.: Simulation-sound NIZK proofs for a practical language and constant size group signatures. In: Lai, X., Chen, K. (eds.) ASIACRYPT 2006. LNCS, vol. 4284, pp. 444–459. Springer, Heidelberg (2006). https://doi.org/10.1007/11935230_29

    Chapter  Google Scholar 

  11. Groth, J., Ostrovsky, R., Sahai, A.: Perfect non-interactive zero knowledge for NP. In: Vaudenay, S. (ed.) EUROCRYPT 2006. LNCS, vol. 4004, pp. 339–358. Springer, Heidelberg (2006). https://doi.org/10.1007/11761679_21

    Chapter  Google Scholar 

  12. Groth, J., Ostrovsky, R., Sahai, A.: New techniques for noninteractive zero-knowledge. J. ACM 59(3), 1–35 (2012)

    Article  MathSciNet  Google Scholar 

  13. Zheng, Y.: Digital signcryption or how to achieve cost(signature & encryption) \(\ll \) cost(signature) + cost(encryption). In: Kaliski, B.S. (ed.) CRYPTO 1997. LNCS, vol. 1294, pp. 165–179. Springer, Heidelberg (1997). https://doi.org/10.1007/BFb0052234

    Chapter  Google Scholar 

  14. Zimmerman, J.: How to obfuscate programs directly. In: Oswald, E., Fischlin, M. (eds.) EUROCRYPT 2015. LNCS, vol. 9057, pp. 439–467. Springer, Heidelberg (2015). https://doi.org/10.1007/978-3-662-46803-6_15

    Chapter  Google Scholar 

Download references

Acknowledgement

This work is supported by National Key R&D Program of China (No. 2017YFB0802500). This work is also partially supported by the Swedish Research Council (Vetenskapsr\(\mathring{a}\)det) through the grant PRECIS (621-2014-4845).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Bei Liang .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2019 Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Pan, D., Liang, B., Li, H., Ni, P. (2019). Hierarchical Functional Signcryption: Notion and Construction. In: Steinfeld, R., Yuen, T. (eds) Provable Security. ProvSec 2019. Lecture Notes in Computer Science(), vol 11821. Springer, Cham. https://doi.org/10.1007/978-3-030-31919-9_10

Download citation

  • DOI: https://doi.org/10.1007/978-3-030-31919-9_10

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-31918-2

  • Online ISBN: 978-3-030-31919-9

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics