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Exact Analysis of Exact Change (1997)  (Make Corrections)  (1 citation)
Yair Frankel, Boaz Patt-Shamir, Yiannis Tsiounis
Israel Symposium on Theory of Computing Systems



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Abstract: We consider the k-payment problem: given a total budget of N units, the problem is to represent this budget as a set of coins, so that any k exact payments of total value at most N can be made using k disjoint subsets of the coins. The goal is to minimize the number of coins for any given N and k, while allowing the actual payments to be made on-line, namely without the need to know all payment requests in advance. The problem is motivated by the electronic cash model, where each coin is a... (Update)

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.... to divisibility: In contrast to a divisible coin, an exact payment protocol using multiple single term coins was analyzed in [FPST97] That result complements the protocol presented here, in the sense that [FPST97] is more efficient for small divisibility precisions (N )...

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BibTeX entry:   (Update)

Y. Frankel, B. Patt-Shamir, and Y. Tsiounis. Exact analysis of exact change. In Proceedings of the 5th Israeli Symposium on the Theory of Computing Systems (ISTCS), Ran-Gatan, Israel, June 17--19 1997. Available at http://www.ccs.neu.edu/home/yiannis/pubs.html http://citeseer.ist.psu.edu/frankel97exact.html   More

@inproceedings{ frankel97exact,
    author = "Pat Frankel",
    title = "Exact Analysis of Exact Change",
    booktitle = "Israel Symposium on Theory of Computing Systems",
    pages = "107-118",
    year = "1997",
    url = "citeseer.ist.psu.edu/frankel97exact.html" }
Citations (may not include all citations):
255   Untraceable electronic cash (context) - Chaum, Fiat et al. - 1990
239   Blind signatures for untraceable payments (context) - Chaum - 1983
229   Knapsack Problems: Algorithms and Computer Implementations (context) - Martello, Toth - 1990
78   Untraceable off-line cash in wallets with observers - Brands - 1993
75   Universal electronic cash (context) - Okamoto, Ohta - 1992
28   An efficient divisible electronic cash scheme (context) - Okamoto - 1995
24   Cambridge University Press (context) - van Lint, Wilson et al. - 1992
24   Cryptographic smart cards - Naccache, M'Rahi - 1996
13   Efficient Electronic Cash: New Notions and Techniques (context) - Tsiounis - 1997
4   Optimal bounds for the changemaking problem - Kozen, Zaks - 1994
3   Construction of distributed loop networks (context) - Hsu, Jia - 1994
3   Associate bases in the postage stamp problem (context) - Selmer - 1992
3   the postage stamp problem with 3 denominations (context) - Selmer - 1985
2   On optimal greedy change making (context) - Verma, Xu - 1994

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