Multi-Dimensional Hash Chains and Application to Micropayment Schemes
One-way hash chains have been used in many micropayment schemes due to their simplicity and efficiency. In this paper we introduce the notion of multi-dimensional hash chains, which is a new generalization of traditional one-way hash chains. We show that this construction has storage-computational complexity of O(log2 N) per chain element, which is comparable with the best result reported in recent literature. Based on multi-dimensional hash chains, we then propose two cash-like micropayment schemes, which have a number of advantages in terms of efficiency and security. We also point out some possible improvements to PayWord and similar schemes by using multi-dimensional hash chains.
KeywordsHash Function Public Parameter Modular Exponentiation Hash Chain Multiple Vendor
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- 4.Hu, Y., Jakobsson, M., Perrig, A.: Efficient Constructions for One-way Hash Chains. SCS Technical Report Collection (2003), http://reports-archive.adm.cs.cmu.edu/anon/2003/CMU-CS-03-220.ps
- 5.Hauser, R., Steiner, M., Waidner, M.: Micro-payments based on iKP. In: Proceedings of the 14th Worldwide Congress on Computer and Communications Security Protection, Paris, pp. 67–82 (1996)Google Scholar
- 6.Jakobsson, M.: Fractal hash sequence representation and traversal. In: Proceedings of the 2002 IEEE International Symposium on Information Theory (ISIT 2002), pp. 437–444 (2002)Google Scholar
- 7.Jutla, C., Yung, M.: PayTree: amortized-signature for flexible micropayments. In: Adam, N.R., Yesha, Y. (eds.) Electronic Commerce 1994. LNCS, vol. 1028, Springer, Heidelberg (1996)Google Scholar