The accumulator was introduced as a decentralized alternative to digital signatures. While most of accumulators are based on number theoretic assumptions and require time-consuming modulo exponentiations, Nyberg's combinatoric accumulator dose not depend on any computational assumption and requires only bit operations and hash function evaluations. In this article, we present a generalization of Nyberg's combinatoric accumulator, which allows a lower false positive rate with the same output length. Our generalization also shows that the Bloom filter can be used as a cryptographic accumulator and moreover excels the Nyberg's accumulator.
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Dae Hyun YUM, Jae Woo SEO, Pil Joong LEE, "Generalized Combinatoric Accumulator" in IEICE TRANSACTIONS on Information,
vol. E91-D, no. 5, pp. 1489-1491, May 2008, doi: 10.1093/ietisy/e91-d.5.1489.
Abstract: The accumulator was introduced as a decentralized alternative to digital signatures. While most of accumulators are based on number theoretic assumptions and require time-consuming modulo exponentiations, Nyberg's combinatoric accumulator dose not depend on any computational assumption and requires only bit operations and hash function evaluations. In this article, we present a generalization of Nyberg's combinatoric accumulator, which allows a lower false positive rate with the same output length. Our generalization also shows that the Bloom filter can be used as a cryptographic accumulator and moreover excels the Nyberg's accumulator.
URL: https://global.ieice.org/en_transactions/information/10.1093/ietisy/e91-d.5.1489/_p
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@ARTICLE{e91-d_5_1489,
author={Dae Hyun YUM, Jae Woo SEO, Pil Joong LEE, },
journal={IEICE TRANSACTIONS on Information},
title={Generalized Combinatoric Accumulator},
year={2008},
volume={E91-D},
number={5},
pages={1489-1491},
abstract={The accumulator was introduced as a decentralized alternative to digital signatures. While most of accumulators are based on number theoretic assumptions and require time-consuming modulo exponentiations, Nyberg's combinatoric accumulator dose not depend on any computational assumption and requires only bit operations and hash function evaluations. In this article, we present a generalization of Nyberg's combinatoric accumulator, which allows a lower false positive rate with the same output length. Our generalization also shows that the Bloom filter can be used as a cryptographic accumulator and moreover excels the Nyberg's accumulator.},
keywords={},
doi={10.1093/ietisy/e91-d.5.1489},
ISSN={1745-1361},
month={May},}
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TY - JOUR
TI - Generalized Combinatoric Accumulator
T2 - IEICE TRANSACTIONS on Information
SP - 1489
EP - 1491
AU - Dae Hyun YUM
AU - Jae Woo SEO
AU - Pil Joong LEE
PY - 2008
DO - 10.1093/ietisy/e91-d.5.1489
JO - IEICE TRANSACTIONS on Information
SN - 1745-1361
VL - E91-D
IS - 5
JA - IEICE TRANSACTIONS on Information
Y1 - May 2008
AB - The accumulator was introduced as a decentralized alternative to digital signatures. While most of accumulators are based on number theoretic assumptions and require time-consuming modulo exponentiations, Nyberg's combinatoric accumulator dose not depend on any computational assumption and requires only bit operations and hash function evaluations. In this article, we present a generalization of Nyberg's combinatoric accumulator, which allows a lower false positive rate with the same output length. Our generalization also shows that the Bloom filter can be used as a cryptographic accumulator and moreover excels the Nyberg's accumulator.
ER -