Abstract
The Boneh-Gentry-Waters (BGW) [3] broadcast encryption scheme is optimal regarding the overhead size. This performance relies on the use of a pairing. Hence this protocol can benefit from public key improvements. The main lasting constraint is the computation time at receiver end as it depends on the number of revoked users. In this paper we describe two modifications to improve BGW bandwidth and time complexity. First we rewrite the protocol with an asymmetric pairing over Barreto-Naehrig (BN) curves instead of a symmetric one over supersingular curves. This modification leads to a practical gain of 60% in speed and 84% in bandwidth. The second tweaks allows to reduce the computation time from O(n − r) to min (O(r),O(n − r)) for the worst case (and better for the average case). We give performance measures of our implementation for a 128-bit security level of the modified protocol on a smartphone.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Barreto, P.S.L.M., Naehrig, M.: Pairing-Friendly Elliptic Curves of Prime Order. In: Preneel, B., Tavares, S. (eds.) SAC 2005. LNCS, vol. 3897, pp. 319–331. Springer, Heidelberg (2006)
Blake, I.F., Seroussi, G., Smart, N.P. (eds.): Advances in Elliptic Curve Cryptography. London Mathematical Society Lecture Note Series, vol. 317. Cambridge University Press (2005)
Boneh, D., Gentry, C., Waters, B.: Collusion Resistant Broadcast Encryption with Short Ciphertexts and Private Keys. In: Shoup, V. (ed.) CRYPTO 2005. LNCS, vol. 3621, pp. 258–275. Springer, Heidelberg (2005)
Cheon, J.H.: Discrete logarithm problems with auxiliary inputs. J. Cryptology 23, 457–476 (2010)
Dubois, R., Guillevic, A., Sengelin Le Breton, M.: Improved Broadcast Encryption Scheme with Constant-Size Ciphertext. In: Abdalla, M., Lange, T. (eds.) Pairing 2012. LNCS, vol. 7708, pp. 196–202. Springer, Heidelberg (2013)
Galbraith, S.D., Paterson, K.G., Smart, N.P.: Pairings for cryptographers. Discrete Applied Mathematics 156(16), 3113–3121 (2008)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2013 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Dubois, R., Guillevic, A., Sengelin Le Breton, M. (2013). Improved Broadcast Encryption Scheme with Constant-Size Ciphertext. In: Abdalla, M., Lange, T. (eds) Pairing-Based Cryptography – Pairing 2012. Pairing 2012. Lecture Notes in Computer Science, vol 7708. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-36334-4_12
Download citation
DOI: https://doi.org/10.1007/978-3-642-36334-4_12
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-36333-7
Online ISBN: 978-3-642-36334-4
eBook Packages: Computer ScienceComputer Science (R0)