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	New schemes for sharing points on an elliptic curve
	Liu, Duo ; Huang, Dongping ; Luo, Ping ; Dai, Yiqi
	2010-05-06 ; 2010-05-06
关键词	cryptography secret sharing multi-secret sharing elliptic curve bilinear pairing map ONE-WAY FUNCTION CRYPTOGRAPHY Computer Science, Interdisciplinary Applications Mathematics, Applied
中文摘要	A multiple secret sharing scheme can share a group of secrets in each sharing session; this scheme is deemed to be very useful in sharing important secrets. However, previously, no scheme on sharing points oil an elliptic curve has been devised. In responding to the problem, this paper proposes a new (t, n) multi-point sharing scheme using self-pairing on an elliptic curve. The security of the proposed scheme was examined. Towards the end of the study, the researchers concluded that the new scheme was computationally secure if at least n - t + 1 users in the scheme are honest, and if O(lg q) points at most are shared. Therefore, the threshold digital signature scheme on an elliptic curve can be designed and implemented easily. Crown Copyright (c) 2008 Published by Elsevier Ltd. All rights reserved.
语种	英语 ; 英语
出版者	PERGAMON-ELSEVIER SCIENCE LTD ; OXFORD ; THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND
内容类型	期刊论文
源URL	[http://hdl.handle.net/123456789/10234]
专题	清华大学
推荐引用方式 GB/T 7714	Liu, Duo,Huang, Dongping,Luo, Ping,et al. New schemes for sharing points on an elliptic curve[J],2010, 2010.
APA	Liu, Duo,Huang, Dongping,Luo, Ping,&Dai, Yiqi.(2010).New schemes for sharing points on an elliptic curve..
MLA	Liu, Duo,et al."New schemes for sharing points on an elliptic curve".(2010).

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