Strictly - Cheating Immune Secret Sharing

doi:10.13190/jbupt.200702.24.107

JOURNAL OF BEIJING UNIVERSITY OF POSTS AND TELECOM ›› 2007, Vol. 30 ›› Issue (2): 24-27.doi: 10.13190/jbupt.200702.24.107

• Papers • Previous Articles Next Articles

Strictly - Cheating Immune Secret Sharing

ZHANG Jie1 , LIU Zhen-hua2 , WEN Qiao-yan1

(1.School of Sciences, Beijing University of Posts and Telecommunications, Beijing 100876, China;
2. Department of Computer, China Women’s University, Beijing 100101,China)

Received:2005-12-27 Revised:1900-01-01 Online:2007-04-30 Published:2007-04-30
Contact: ZHANG Jie

Abstract

Abstract:

The work addresses the problem of cheating prevention in secret sharing. For any integer , strictly - cheating immune secret sharing scheme under the unconditionally secure is given. It is concluded that the defining function of strictly secret sharing scheme is -resilient and also is -strengthened propagation criterion. Furthermore, its degree is high. So it has better cryptographic properties than that of the known results.

Key words: secret sharing, (strengthened) propagation criterion, correlation immune functions, resilient functions

CLC Number:

TN911.22

ZHANG Jie1 , LIU Zhen-hua2 , WEN Qiao-yan1. Strictly - Cheating Immune Secret Sharing[J]. JOURNAL OF BEIJING UNIVERSITY OF POSTS AND TELECOM, 2007, 30(2): 24-27.

[1]	LIU Ning-chun, GAO Shuai, HOU Xin-di, GUO Xing-chang. A Data Access Control Scheme in Information-Centric Mobile Ad Hoc Networks [J]. Journal of Beijing University of Posts and Telecommunications, 2021, 44(2): 54-60.
[2]	SHEN Hua, CHEN Mi-wen, ZHANG Ming-wu. Leakage-Resilient Verifiable Multi-Secret Sharing Scheme [J]. JOURNAL OF BEIJING UNIVERSITY OF POSTS AND TELECOM, 2016, 39(1): 87-91.
[3]	CHANG Li-wei, ZHENG Shi-hui, XING You-song, JIN Lei, YANG Yi-xian. Verifiable Multi-Use Dynamic Threshold Large Secret Sharing Scheme [J]. JOURNAL OF BEIJING UNIVERSITY OF POSTS AND TELECOM, 2015, 38(5): 86-90.
[4]	. A Verifiable MultiPolicy Secret Sharing Scheme [J]. JOURNAL OF BEIJING UNIVERSITY OF POSTS AND TELECOM, 2010, 33(6): 72-75.
[5]	YU Jia1，HAO Rong1,2，KONG Fan-yu2， LI Xu-liang1,2 . Proactive and Publicly Verifiable Server-Assisted Secret Sharing [J]. JOURNAL OF BEIJING UNIVERSITY OF POSTS AND TELECOM, 2008, 31(5): 13-17.
[6]	MO Jiao, WEN Qiao-yan. The Constructions of Symmetric Correlation Immune Functions [J]. JOURNAL OF BEIJING UNIVERSITY OF POSTS AND TELECOM, 2008, 31(3): 59-62.
[7]	LIN Song1,2, QIN Su-juan1, CHEN Xiu-bo1, WEN Qiao-yan1, ZHU Fu-chen3. A (n-1, n) Threshold Quantum Secret Sharing Scheme Based on Entanglement Swapping [J]. JOURNAL OF BEIJING UNIVERSITY OF POSTS AND TELECOM, 2008, 31(2): 26-29.
[8]	SUN Ying1, QIN Su-juan1, WEN Qiao-yan1, ZHU Fu-chen2. 利用GHZ态实现可控的量子秘密共享 [J]. JOURNAL OF BEIJING UNIVERSITY OF POSTS AND TELECOM, 2008, 31(1): 9-13.
[9]	ZHANG Yan-Shuo 1，2, LIU Zhuo-Jun2. Dynamic Generalized Threshold Multi-Secret Sharing Scheme among Weighted Participants [J]. JOURNAL OF BEIJING UNIVERSITY OF POSTS AND TELECOM, 2008, 31(1): 130-134.
[10]	TONG Xin1, WEN Qiao-yan1, ZHU Fu-chen2. Quantum Secret Sharing Based on GHZ States Entanglement Swapping [J]. JOURNAL OF BEIJING UNIVERSITY OF POSTS AND TELECOM, 2007, 30(1): 44-48.
[11]	MO Jiao, WEN Qiao-yan. The Construction and Enumeration of Symmetric Correlation Immune Functions [J]. JOURNAL OF BEIJING UNIVERSITY OF POSTS AND TELECOM, 2007, 30(1): 49-52.
[12]	YU Jia1, LI Guo-wen2, HAO Rong1,2, CHENG Zhen3. A Practical Member Enrollment Protocol for Threshold Schemes [J]. JOURNAL OF BEIJING UNIVERSITY OF POSTS AND TELECOM, 2006, 29(s2): 1-3.
[13]	YU Jia1; HAO Rong1,2; ZHAO Zhi-gang1; LI DA-xing2 . A Forward-Secure Proactive Threshold Signature Scheme [J]. JOURNAL OF BEIJING UNIVERSITY OF POSTS AND TELECOM, 2006, 29(s2): 24-29.
[14]	ZHANG Wen-ying¹，WU Chuan-kun¹，LEI Hong². A New Cheating Immune Secret Sharing Function [J]. JOURNAL OF BEIJING UNIVERSITY OF POSTS AND TELECOM, 2006, 29(4): 54-56.
[15]	YANG Yu-guang¹WEN Qiao-yan¹ ZHU Fu-chen². Quantum Key Distribution and Secret Sharing via W states [J]. JOURNAL OF BEIJING UNIVERSITY OF POSTS AND TELECOM, 2006, 29(3): 40-43.

Strictly - Cheating Immune Secret Sharing

PDF

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 15

Recommended Articles

Metrics

Comments