A Transmission-Efficient Broadcast Encryption System Based on Secret Sharing Method

• Journal title : Journal of Broadcast Engineering
• Volume 21, Issue 3,  2016, pp.412-424
• Publisher : The Korean Institute of Broadcast and Media Engineers
• DOI : 10.5909/JBE.2016.21.3.412
Title & Authors
A Transmission-Efficient Broadcast Encryption System Based on Secret Sharing Method
Lee, Jae Hwan; Park, Jong Hwan;

Abstract
Broadcast encryption (BE) is a cryptographic primitive that enables a sender to broadcast a message to a set of receivers in a secure channel. The efficiency of BE is measured by three factors: ciphertext transmission cost, user storage cost, and computational cost for decryption. In general, BE is applied to the environments where a large number of receivers should be accommodated, so that the transmission cost is considered as being the most important factor. In this paper, we suggest a new BE system, using Shamir`s secret sharing method, which considerable reduces the transmission cost. In comparison to the previous Subset Difference (SD) system, the transmission size of our BE is longer until $\small{r{\leq}\sqrt{n}}$, but get shorter when $\small{r{\geq}\sqrt{n}}$ for number of revoked users and n number of total users. We show that the advantage can be achieved at the slight expense of both the storage and computational costs.
Keywords
Language
Korean
Cited by
References
1.
A. Fiat and M. Naor, "Broadcast encryption," Proceedings of the CRYPTO'93, volume 773 of LNCS, pp. 480-491, Aug. 1993.

2.
D. Naor, M. Naor and J. Lotspiech, "Revocation and tracing schemes for stateless receivers," Proceedings of the CRYPTO 2001, vol. 2139 of LNCS, pp. 41-62, Feb. 2001.

3.
Y. Dodis and N. Fazio, "Public key broadcast encryption for stateless receivers," Proceedings of the Digital Rights Management Workshop, vol. 2696 of Lecture Notes in Computer Science, pp. 61-80, 2002.

4.
D. Boneh, C. Gentry and B. Waters, "Collusion resistant broadcast encryption with short ciphertexts and private keys," Proceedings of the CRYPTO 2005, vol. 3621 of LNCS, pp. 258-275, Aug.2005.

5.
C. H. Kim, Y. H. Hwang and P. J. Lee, "An efficient public key trace and revoke scheme secure against adaptive chosen ciphertext attack," Proceedings of the ASIACRYPT 2003, vol. 2894 of LNCS, pp. 359-373, Nov/Dec. 2003.

6.
D. Halevy and A. Shamir, "The LSD broadcast encryption scheme," Proceedings of the CRYPTO 2002, vol. 2442 of LNCS, pp. 47-60, Aug. 2002.

7.
M.T. Goodrich, J.Z. Sun and R. Tamassia, "Efficient tree-based revocation in groups of low-state devices," Proceedings of the CRYPTO 2004, vol. 3152 of LNCS, pp. 511-527, Aug. 2004.

8.
S. Bhattacherjee and P. Sarkar, "Tree based symmetric key broadcast encryption", IACR Cryptology ePrint Archive, Report 2013/786, 2013.

9.
J. H. Lee and J. H. Park, “Broadcast encryption system using secret sharing and subset difference methods”, Journal of Broadcast Engineering, 20(1), pp.92-109, Jan. 2015.

10.
J. H. Lee and J. H. Park, “2-Subset Difference Broadcast Encryption System Based on Secret Sharing Method”, Journal of Broadcast Engineering, 20(4), pp.93-110, Jul. 2015.