Abstract
The problem of secure routing in mobile ad hoc networks is long-standing and has been extensively studied by researchers. Recently, techniques of aggregating signatures have been applied to authenticate on demand routing protocols in mobile ad hoc networks. In this paper, we propose an efficient, single round multisignature scheme, CLFSR-M, constructed using cubic (third-order) linear feedback shift register (LFSR) sequences. The scheme, CLFSR-M is derived from a 2-party signature scheme CLFSR-S, formed using a well-known variant of the generalized ElGamal signature scheme. The multisignature has been engineered to produce an efficient technique to authenticate route discovery in the dynamic source routing (DSR) protocol. Our technique supports authentication of cached routes. Delegating special functions to nodes or assuming the existence of a trusted third party to distribute certified public keys is not practical in mobile ad hoc networks. We consider a fully distributed mechanism of public key distribution and present two variations of trust policies, based on PGP, for effective management of individual and aggregate public keys. Finally, we perform a theoretical analysis including correctness and security of CLFSR-M and also present a performance (computation and communication costs, storage overhead) comparison of the proposed scheme with existing ones.
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References
Johnson, D.B., Maltz, D.A., Hu, Y.C.: The Dynamic Souce Routing Protocol for Mobile Ad Hoc Networks (DSR). Internet draft draft-ietf-manet-dsr-10, IETF MANET Working Group (July 2004)
Hu, Y.C., Perrig, A.: A survey of secure wireless ad hoc routing. IEEE Security & Privacy 2(3), 28–39 (2004)
Kim, J., Tsudik, G.: SRDP: Securing route discovery in DSR. In: Proceedings of MobiQuitous, pp. 247–260. IEEE Computer Society Press, Los Alamitos (2005)
Hu, Y.C., Johnson, D.B.: Caching strategies in on-demand routing protocols for wireless ad hoc networks. In: Proceedings of MOBICOM, pp. 231–242 (2000)
Chakrabarti, S., Chandrasekhar, S., Singhal, M., Calvert, K.L.: Authenticating feedback in multicast applications using a novel multisignature scheme based on cubic LFSR sequences. To appear in Proceedings of SSNDS (2007)
Horster, P., Petersen, H., Michels, M.: Meta-ElGamal signature schemes. In: ACM Conference on Computer and Communications Security, pp. 96–107 (1994)
Giuliani, K.J., Gong, G.: New LFSR-based cryptosystems and the trace discrete log problem (trace-DLP). In: Helleseth, T., Sarwate, D., Song, H.-Y., Yang, K. (eds.) SETA 2004. LNCS, vol. 3486, pp. 298–312. Springer, Heidelberg (2005)
Zimmermann, P.: The official PGP user’s guide (1995)
Milgram, S.: The small world problem. Psychology Today 61(2), 60–67 (1967)
Čapkun, S., Buttyán, L., Hubaux, J.P.: Small worlds in security systems: an analysis of the PGP certificate graph. In: Proceedings of NSPW (2002)
Čapkun, S., Buttyán, L., Hubaux, J.P.: Self-organized public-key management for mobile ad hoc networks. IEEE Transactions on Mobile Computing 2(1), 52–64 (2003)
Papadimitratos, P., Haas, Z.J.: Secure routing for mobile ad hoc networks. In: Proceedings of CNDS (2002)
Hu, Y.C., Perrig, A., Johnson, D.B.: Ariadne: A secure on-demand routing protocol for ad hoc networks. Wireless Networks 11(1-2), 21–38 (2005)
Micali, S., Ohta, K., Reyzin, L.: Accountable-subgroup multisignatures: extended abstract. In: Proceedings of CCS, pp. 245–254 (2001)
Boneh, D., Gentry, C., Lynn, B., Shacham, H.: Aggregate and verifiably encrypted signatures from bilinear maps. In: Biham, E. (ed.) EUROCRPYT 2003. LNCS, vol. 2656, pp. 416–432. Springer, Heidelberg (2003)
Lysyanskaya, A., Micali, S., Reyzin, L., Shacham, H.: Sequential aggregate signatures from trapdoor permutations. In: Cachin, C., Camenisch, J.L. (eds.) EUROCRYPT 2004. LNCS, vol. 3027, pp. 74–90. Springer, Heidelberg (2004)
Bhaskar, R., Herranz, J., Laguillaumie, F.: Efficient authentication for reactive routing protocols. In: Proceedings of AINA, pp. 57–61. IEEE Computer Society Press, Los Alamitos (2006)
Itakura, K., Nakamura, H., Nakazawa, K.: A public-key cryptosystem suitable for digital multisignatures. NEC Research and Development (1983)
ElGamal, T.: A public key cryptosystem and a signature scheme based on discrete logarithms. In: Blakely, G.R., Chaum, D. (eds.) Advances in Cryptology. LNCS, vol. 196, pp. 10–18. Springer, Heidelberg (1985)
Schnorr, C.P.: Efficient signature generation by smart cards. Journal of Cryptology 4(3), 161–174 (1991)
Kleinberg, J.M.: The small-world phenomenon: an algorithm perspective. In: Proceedings of STOC, pp. 163–170 (2000)
Niederreiter, H.: A public-key cryptosystem based on shift register sequences. In: McCurley, K.S., Ziegler, C.D. (eds.) Advances in Cryptology 1981 - 1997. LNCS, vol. 1440, pp. 35–39. Springer, Heidelberg (1999)
Gong, G., Harn, L.: Public-key cryptosystems based on cubic finite field extensions. IEEE Transactions on Information Theory 45(7), 2601–2605 (1999)
Gong, G., Harn, L., Wu, H.: The GH public-key cryptosystem. In: Vaudenay, S., Youssef, A.M. (eds.) Selected Areas in Cryptography. LNCS, vol. 2259, pp. 284–300. Springer, Heidelberg (2001)
Lenstra, A.K., Verheul, E.R.: The XTR Public Key System. In: Bellare, M. (ed.) Advances in Cryptology - CRYPTO 2000. LNCS, vol. 1880, pp. 1–19. Springer, Heidelberg (2000)
Golomb, S.W.: Shift Register Sequences. Holden-Day (1967)
Peeters, E., Neve, M., Ciet, M.: XTR implementation on reconfigurable hardware. In: Joye, M., Quisquater, J.-J. (eds.) CHES 2004. LNCS, vol. 3156, pp. 386–399. Springer, Heidelberg (2004)
Chakrabarti, S., Giruka, V.C., Singhal, M.: Security in Distributed, Grid, and Pervasive Computing, Edited by Prof. Yang Xiao. Auerbach Publications, CRC Press, Boca Raton (2006)
Čapkun, S., Hubaux, J.P.: BISS: building secure routing out of an incomplete set of security associations. In: Workshop on Wireless Security, pp. 21–29 (2003)
Zhou, L., Haas, Z.J.: Securing ad hoc networks. IEEE Network 13(6), 24–30 (1999)
Kong, J., Zerfos, P., Luo, H., Lu, S., Zhang, L.: Providing robust and ubiquitous security support for mobile ad hoc networks. In: Proceedings of ICNP, pp. 251–260. IEEE Computer Society Press, Los Alamitos (2001)
Watts, D.J.: Small Worlds: The Dynamics of Networks Between Order and Randomness. Princeton University Press, Princeton (1999)
Koblitz, N., Menezes, A.: Another Look at Provable Security. In: Barua, R., Lange, T. (eds.) INDOCRYPT 2006. LNCS, vol. 4329, pp. 148–175. Springer, Heidelberg (2006)
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Chakrabarti, S., Chandrasekhar, S., Singhal, M., Calvert, K.L. (2007). Authenticating DSR Using a Novel Multisignature Scheme Based on Cubic LFSR Sequences. In: Stajano, F., Meadows, C., Capkun, S., Moore, T. (eds) Security and Privacy in Ad-hoc and Sensor Networks. ESAS 2007. Lecture Notes in Computer Science, vol 4572. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-73275-4_12
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