Abstract
We study the multicast authentication problem when an opponent can drop, reorder and introduce data packets into the communication channel. We first study the packet authentication probability of a scheme proposed by Lysyanskaya, Tamassia and Triandopoulos in 2003 since our opponent model is based on theirs. Using a family of rateless codes called Luby Transform codes (LT codes) we design a protocol which allows any packet to be authenticated at the receiver with probability arbitrary close to 1. We also compare LT codes to other families of rateless codes which could be used in that context in order to minimize the packet overhead as well as the time complexity of encoding and decoding data.
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
Blundo, C., De Santis, A., Herzberg, A., Kutten, S., Vaccaro, U., Yung, M.: Perfectly-secure key distribution for dynamic conferences. In: Brickell, E.F. (ed.) CRYPTO 1992. LNCS, vol. 740, pp. 471–486. Springer, Heidelberg (1993)
Byers, J.W., Luby, M., Mitzenmacher, M.: A digital fountain approach to asynchronous reliable multicast. IEEE Journal on Selected Areas in Communications, 20 (October 2002)
Challal, Y., Bettahar, H., Bouabdallah, A.: A taxonomy of multicast data origin authentication: Issues and solutions. IEEE Communications Surveys and Tutorials 6 (October 2004)
Desmedt, Y., Frankel, Y., Yung, M.: Multi-receiver/multi-sender network security: Efficient authenticated multicast/feedback. In: INFOCOM 1992 (May 1992)
Etesami, O., Molkaraie, M., Shokrollahi, A.: Raptor codes on symmetric channels (preprint, 2003), available online at: http://www.cs.berkeley.edu/~etesami/raptor.pdf
Gennaro, R., Rohatgi, P.: How to sign digital streams. In: Kaliski Jr., B.S. (ed.) CRYPTO 1997. LNCS, vol. 1294, pp. 180–197. Springer, Heidelberg (1997)
Golle, P., Modadugu, N.: Authenticating streamed data in the presence of random packet loss. In: Proceedings of the Symposium on Network and Distributed Systems Security (NDSS 2001), Internet Society (February 2001)
Guruswami, V., Sudan, M.: Improved decoding of Reed-Solomon and algebraic-geometric codes. IEEE Transactions on Information Theory (May 1999)
Harrelson, C., Ip, L., Wang, W.: Limited randomness LT codes. In: 41st Annual Allerton Conference on Communication, Control and Computing (October 2003)
Karp, R., Luby, M., Shokrollahi, A.: Finite length analysis of LT codes. In: International Symposium on Information Theory (June 2004)
Lidl, R., Niederreiter, H.: Introduction to Finite Fields and their Applications - Revised Edition. Cambridge University Press, Cambridge (2000)
Luby, M.: LT codes. In: 43rd Annual IEEE Symposium on Foundations of Computer Science. IEEE Computer Society Press, Los Alamitos (2002)
Luby, M., Mitzenmacher, M., Shokrollahi, M., Spielman, D.: Efficient erasure correcting codes. IEEE Transactions on Information Theory 47 (February 2001)
Lysyanskaya, A., Tamassia, R., Triandopoulos, N.: Multicast authentication in fully adversarial networks. In: IEEE Symposium on Security and Privacy (November 2003)
Maymounkov, P.: Online codes. Technical report, New York University (November 2002)
Merkle, R.: A certified digital signature. In: Brassard, G. (ed.) CRYPTO 1989. LNCS, vol. 435, pp. 218–238. Springer, Heidelberg (1990)
Miner, S., Staddon, J.: Graph-based authentication of digital streams. In: IEEE Symposium on Security and Privacy (May 2001)
Palanki, R., Yedidia, J.S.: Rateless codes on noisy channels. In: 38th Annual Conference on Information Sciences and Systems (March 2004)
Pannetrat, A., Molva, R.: Authenticating real time packet streams and multicasts. In: 7th International Symposium on Computers and Communications (July 2002)
Paxson, V.: End-to-end Internet packet dynamics. IEEE/ACM Transactions on Networking (June 1999)
Perrig, A., Tygar, J.D.: Secure Broadcast Communication in Wired and Wireless Networks. Kluwer Academic Publishers, Dordrecht (2003)
Pieprzyk, J., Hardjono, T., Seberry, J.: Fundamentals of Computer Security. Springer, Heidelberg (2003)
Rao, M.M.: Conditional Measures and Applications, 2nd edn. CRC Press, Boca Raton (2005)
Rohatgi, P.: A compact and fast hybrid signature scheme for multicast packet authentication. In: 6th ACM Conference on Computer and Communications Security (1999)
Safavi-Naini, R., Wang, H.: New results on multi-receiver authentication code. In: Nyberg, K. (ed.) EUROCRYPT 1998. LNCS, vol. 1403, pp. 527–541. Springer, Heidelberg (1998)
Shokrollahi, A.: Raptor codes. Technical report, Digital Fountain (June 2003)
Stinson, D.R.: Cryptography: Theory and Practice. CRC Press, Boca Raton (1995)
Tartary, C., Wang, H.: Efficient multicast stream authentication for the fully adversarial network. In: Song, J.-S., Kwon, T., Yung, M. (eds.) WISA 2005. LNCS, vol. 3786, pp. 108–125. Springer, Heidelberg (2006)
Wong, C.K., Lam, S.S.: Digital signatures for flows and multicasts. IEEE/ACM Transactions on Networking  7 (August 1999)
Yajnik, M., Moon, S., Kurose, J., Towsley, D.: Measurement and modeling of the temporal dependence in packet loss. In: IEEE Conference on Computer Communications (1999)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2006 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Tartary, C., Wang, H. (2006). Rateless Codes for the Multicast Stream Authentication Problem. In: Yoshiura, H., Sakurai, K., Rannenberg, K., Murayama, Y., Kawamura, S. (eds) Advances in Information and Computer Security. IWSEC 2006. Lecture Notes in Computer Science, vol 4266. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11908739_10
Download citation
DOI: https://doi.org/10.1007/11908739_10
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-47699-3
Online ISBN: 978-3-540-47700-6
eBook Packages: Computer ScienceComputer Science (R0)