A Key Pre-distribution Scheme for Wireless Sensor Networks: Merging Blocks in Combinatorial Design

  • Dibyendu Chakrabarti
  • Subhamoy Maitra
  • Bimal Roy
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3650)


In this paper, combinatorial design followed by a probabilistic merging is applied to key pre-distribution in sensor nodes. A transversal design is used to construct a (v, b, r, k) configuration and then randomly chosen blocks are merged to form sensor nodes. We present detailed mathematical analysis of the number of nodes, number of keys per node and the probability that a link gets affected if certain number of nodes are compromised. The technique is tunable to user requirements and it also compares favourably with state of the art design strategies. An important feature of our design is the presence of more number of common keys between any two nodes.


Combinatorial Design Sensor Network Key Pre-distribution Random Merging 


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  1. 1.
    Blom, R.: An optimal class of symmetric key generation systems. In: Beth, T., Cot, N., Ingemarsson, I. (eds.) EUROCRYPT 1984. LNCS, vol. 209, pp. 335–338. Springer, Heidelberg (1985)CrossRefGoogle Scholar
  2. 2.
    Camtepe, S.A., Yener, B.: Combinatorial design of key distribution mechanisms for wireless sensor networks. In: Eurosics 2004 (2004)Google Scholar
  3. 3.
    Chan, H., Perrig, A., Song, D.: Random key predistribution schemes for sensor networks. In: IEEE Symposium on Research in Security and Privacy, pp. 197–213 (2003)Google Scholar
  4. 4.
    Colbourn, C.J., Dinitz, J.H.: The CRC Handbook of Combinatorial Designs. CRC Press, Boca Raton (1996)zbMATHCrossRefGoogle Scholar
  5. 5.
    Du, W., Ding, J., Han, Y.S., Varshney, P.K.: A pairwise key pre-distribution scheme for wireles sensor networks. In: Proceedings of the 10th ACM conference on Computer and Communications Security, ACM CCS 2003, pp. 42–51 (2003)Google Scholar
  6. 6.
    Eschenauer, L., Gligor, V.B.: A key-management scheme for distributed sensor networks. In: Proceedings of the 9th ACM conference on Computer and Communications Security, ACM CCS 2002, pp. 41–47 (2002)Google Scholar
  7. 7.
    Gura, N., Patel, A., Wander, A., Eberle, H., Shantz, S.C.: Comparing Elliptic Curve Cryptography and RSA on 8-bit CPUs. In: Joye, M., Quisquater, J.-J. (eds.) CHES 2004. LNCS, vol. 3156, pp. 119–132. Springer, Heidelberg (2004)CrossRefGoogle Scholar
  8. 8.
    Kahn, J.M., Katz, R.H., Pister, K.S.J.: Next century challenges: Mobile networking for smart dust. In: Proceedings of the 5th annual ACM/IEEE international conference on mobile computing and networking, pp. 483–492 (1999)Google Scholar
  9. 9.
    Lee, J., Stinson, D.: Deterministic key predistribution schemes for distributed sensor networks. In: Handschuh, H., Hasan, M.A. (eds.) SAC 2004. LNCS, vol. 3357, pp. 294–307. Springer, Heidelberg (2004)CrossRefGoogle Scholar
  10. 10.
    Lee, J., Stinson, D.: A combinatorial approach to key predistribution for distributed sensor networks. In: IEEE Wireless Computing and Networking Conference (WCNC 2005), March 13-17, New Orleans, LA, USA (2005)Google Scholar
  11. 11.
    Liu, D., Ning, P.: Establishing pairwise keys in distributed sensor networks. In: Proceedings of the 10th ACM conference on Computer and Communications Security, ACM CCS 2003 (2003)Google Scholar
  12. 12.
    Stinson, D.: Cryptography: Theory and Practice, 2nd edn. Chapman & Hall, CRC Press (2002)Google Scholar
  13. 13.
    Stinson, D.R.: Combinatorial Designs: Constructions and Analysis. Springer, New York (2003)Google Scholar
  14. 14.
    Street, A.P., Street, D.J.: Combinatorics of experimental design. Clarendon Press, Oxford (1987)zbMATHGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2005

Authors and Affiliations

  • Dibyendu Chakrabarti
    • 1
  • Subhamoy Maitra
    • 1
  • Bimal Roy
    • 1
  1. 1.Applied Statistics UnitIndian Statistical InstituteKolkata

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