基于投影矩阵秘密分享方案的安全性注记

doi:10.3969/j.issn.1007-2861.2013.03.015

Journal of Shanghai University（Natural Science Edition） ›› 2013, Vol. 19 ›› Issue (3): 298-302.doi: 10.3969/j.issn.1007-2861.2013.03.015

• Mathematics.Physics and Chemistry • Previous Articles Next Articles

Note on Cheater Detection in Secret Sharing Scheme Using Projection Matrix

WANG Li1,2, WANG Qing-wen1

1. College of Sciences, Shanghai University, Shanghai 200444, China; 2. College of Science, Hangzhou Normal University, Hangzhou 310012, China

Received:2012-09-12 Online:2013-06-30 Published:2013-06-30

Abstract

Abstract: The security deficiency against cheating, which lies in a threshold secret sharing scheme is analyzed with the method of orthogonal projection matrix over finite field. There exists some illicit participant successfully passing the check by his forged shares and reconstructing a wrong secret without being perceived. A strict proof shows that the cheater has non-negligible advantage in above deception.

Key words: detection of cheaters, orthogonal, projection matrix, secret sharing scheme

CLC Number:

TP 309

WANG Li1,2, WANG Qing-wen1. Note on Cheater Detection in Secret Sharing Scheme Using Projection Matrix[J]. Journal of Shanghai University（Natural Science Edition）, 2013, 19(3): 298-302.

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Note on Cheater Detection in Secret Sharing Scheme Using Projection Matrix

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