ID-based, proxy, threshold signature scheme
Abstract
We propose the proxy threshold signature scheme with the application of elegant construction of verifiable delegating key in the ID-based infrastructure, and also with the bilinear pairings. The protocol satisfies the classical security requirements used in the proxy delegation of signing rights. The description of the system architecture and the possible application of the protocol in edge computing designs is enclosed.
References
[BNN04] Bellare M., Namprempre Ch., Neven G., Security proofs for identity-based identification and signature schemes, LNCS, vol. 3027, pp. 268-286, 2004.
[BZ04] Baek, J., Zheng, Y., Identity-based threshold signature scheme from the bilinear pairings. In: Proc. Int.
Conf. on Information Technology:Coding and Computing. IEEE Computer Society Press, pp. 124–128, 2004.
[B03] Boldyreva A., Threshold signatures, multi-signatures and blind signatures based on the Gap Diffie-Hellman Group signature scheme, LNCS, vol. 2567, pp. 31-44, 2003.
[BF03] Boneh D., Franklin M., Identity-based encryption from the Weil Pairing, SIAM Journal on Computing, vol. 32, no. 3, pp. 586-615, 2003.
[BGL04] Boneh D., Gentry C., Lynn B., Shacham H., Short signatures from the Weil pairing, Journal of Cryptology, vol. 17, no. 4, pp. 297-319, 2004.
[BGS03] Boneh D., Gentry C., Shacham H., Lynn B., Aggregate and verifiably encrypted signatures from bilinear pairing, Proceedings of Eurocrypt 2003, LNCS 2656, pp. 416-432, 2003.
[D93] Desmedt Y., Society and group oriented cryptography, Crypto 87, pp. 120-127, 1987.
[DF93] Desmedt Y., Frankel Y., Threshold cryptosystems, LNCS, vol. 718, pp. 1-14, 1993.
[F87] Feldman, P., A practical scheme for non-interactive verifiable secret sharing. In: Proc. FOCS’87. ACM
Press, New York, pp. 427–437, 1987.
[KBL18] Kouicem D. E., Bouabdallah A., Lakhlef H., Internet of things security: A top-down survey, 2018.
see: https://hal.archives-ouvertes.fr/hal-01780365
[GWW09] Gao W., Wang G., Wang X., Yang Z, One-Round ID-Based Threshold Signature Scheme from Bilinear Pairings, Informatica Vol. 20, No. 4, pp. 461-476, 2009.
[IN83] Itakura K., Nakamura K., A public key cryptosystem suitable for digital multisignatures, NEC Research and Development, pp. 1-8, vol. 71, 1983.
[J04] Joux A., A one-round protocol for tripartite Diffie-Hellman, Journal of Cryptology, vol. 17, no. 4, pp. 263-276, 2004.
[KPW97] Kim S., Park S., Won D., Proxy signatures, revisited, LNCS, vol. 1334, pp. 223-232, 1997.
[LMW03] Li N., Mitchel J.C., Winsborough W.H., Distributed credential chain discovery in trust management, Journal of Computer Security, 11(1), pp. 35-86, 2003.
[LMW02] Li N., Mitchel J.C., Winsborough W.H., Design a role-based trust –management framework, Proc. IEEE Symposium on Security and Privacy, pp. 114-130, 2002.
[L02] Lysyanskaya A., Unique signatures and verifiable random functions from the DH-DDH separation, Proceedings of the 22nd Annual International Cryptology Conference on Advances in Cryptology, pp. 597-612, 2002.
[MUO96] Mambo M., Usuda K., Okamoto E., Proxy signatures for delegating signing operation, ACM Conference on Computer and Communications Security, pp. 48-57, 1996.
[MLB18] Manzoor A., Liyanagey M., Braekenz A., Kanherex S., Ylianttila M., Blockchain based Proxy Re-Encryption Scheme for Secure IoT Data Sharing, 2018.
see:
https://arxiv.org/ftp/arxiv/papers/1811/1811.02276.pdf
[N93] Neuman B.C., Proxy-based authorization and accounting for distributed systems, Proceedings of the 13th International Conference on Distributed Computing Systems, pp. 283-291, 1993.
[P02] Paterson K.G., ID-based signatures from pairings on elliptic curves, Journals and Magazines, Electronics Letters, Volume: 38 Issue: 18, pp. 1025 - 1026, 2002.
[PW07] Pomykała J., Warchoł T., Threshold signatures in dynamic groups, Proceedings of Future Generation Communication and Networking, IEEE Computer Science, pp. 32-37, 2007.
[PZ08] Pomykała J., Źrałek B., A model of ID-based proxy signature scheme, Proc. of 6-th Collecter Iberoamerica, pp. 1-8, Madrid, June 24-26, 2008.
[SK03] Sakai R., Kasahara M., ID-based cryptosystems with pairing on elliptic curve, 2003 Symposium on Cryptography and Information Security – SCIS'2003, Hamamatsu, Japan, 2003.
[S79] Shamir A., How to share a secret, Communications of the ACM, 22:612-613, 1979.
[SM18] N. Suryadevara and S. Mukhopadhyay, Internet of things: A review and future perspective, Reliance, 2018.
[TBS15] R. Taylor, D. Baron, and D. Schmidt, The world in 2025-predictions for the next ten years, in Microsystems, Packaging, Assembly and Circuits Technology Conference (IMPACT), 2015 10th International. IEEE, pp. 192–195, 2015.
[VAB91] Varadharajan V., Allen P., Black S., An analysis of the proxy problem in distributed systems, Proc. IEEE Computer Society Symposium on Research in Security and Privacy, pp. 255-275, 1991.
[WFN16] H. Watanabe, S. Fujimura, A. Nakadaira, Y. Miyazaki, A. Akutsu, and J. Kishigami, Blockchain contract: Securing a blockchain applied to smart contracts, in Consumer Electronics (ICCE), 2016 IEEE International Conference on. IEEE, pp. 467–468, 2016.
[YWL11] Yang X. , Wang C. , Lan C. and Wang B., Flexible Threshold Proxy Re-signature Schemes, Chinese Journalof Electronics Vol.20, No.4, Oct. 2011.
[ZXD17] Z. Zheng, S. Xie, H. Dai, X. Chen, and H. Wang, An overview of blockchain technology: Architecture, consensus, and future trends, in Big Data (BigData Congress), 2017 IEEE International Congress on. IEEE, pp. 557–564, 2017.
Downloads
Published
Issue
Section
License
Copyright (c) 2021 International Journal of Electronics and Telecommunications
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
1. License
The non-commercial use of the article will be governed by the Creative Commons Attribution license as currently displayed on https://creativecommons.org/licenses/by/4.0/.
2. Author’s Warranties
The author warrants that the article is original, written by stated author/s, has not been published before, contains no unlawful statements, does not infringe the rights of others, is subject to copyright that is vested exclusively in the author and free of any third party rights, and that any necessary written permissions to quote from other sources have been obtained by the author/s. The undersigned also warrants that the manuscript (or its essential substance) has not been published other than as an abstract or doctorate thesis and has not been submitted for consideration elsewhere, for print, electronic or digital publication.
3. User Rights
Under the Creative Commons Attribution license, the author(s) and users are free to share (copy, distribute and transmit the contribution) under the following conditions: 1. they must attribute the contribution in the manner specified by the author or licensor, 2. they may alter, transform, or build upon this work, 3. they may use this contribution for commercial purposes.
4. Rights of Authors
Authors retain the following rights:
- copyright, and other proprietary rights relating to the article, such as patent rights,
- the right to use the substance of the article in own future works, including lectures and books,
- the right to reproduce the article for own purposes, provided the copies are not offered for sale,
- the right to self-archive the article
- the right to supervision over the integrity of the content of the work and its fair use.
5. Co-Authorship
If the article was prepared jointly with other authors, the signatory of this form warrants that he/she has been authorized by all co-authors to sign this agreement on their behalf, and agrees to inform his/her co-authors of the terms of this agreement.
6. Termination
This agreement can be terminated by the author or the Journal Owner upon two months’ notice where the other party has materially breached this agreement and failed to remedy such breach within a month of being given the terminating party’s notice requesting such breach to be remedied. No breach or violation of this agreement will cause this agreement or any license granted in it to terminate automatically or affect the definition of the Journal Owner. The author and the Journal Owner may agree to terminate this agreement at any time. This agreement or any license granted in it cannot be terminated otherwise than in accordance with this section 6. This License shall remain in effect throughout the term of copyright in the Work and may not be revoked without the express written consent of both parties.
7. Royalties
This agreement entitles the author to no royalties or other fees. To such extent as legally permissible, the author waives his or her right to collect royalties relative to the article in respect of any use of the article by the Journal Owner or its sublicensee.
8. Miscellaneous
The Journal Owner will publish the article (or have it published) in the Journal if the article’s editorial process is successfully completed and the Journal Owner or its sublicensee has become obligated to have the article published. Where such obligation depends on the payment of a fee, it shall not be deemed to exist until such time as that fee is paid. The Journal Owner may conform the article to a style of punctuation, spelling, capitalization and usage that it deems appropriate. The Journal Owner will be allowed to sublicense the rights that are licensed to it under this agreement. This agreement will be governed by the laws of Poland.
By signing this License, Author(s) warrant(s) that they have the full power to enter into this agreement. This License shall remain in effect throughout the term of copyright in the Work and may not be revoked without the express written consent of both parties.
