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| Information-Theoretical Secure Verifiable Secret Sharing on Vector Space Access Structures |
| Zhang Fu-tai①; Shi Jun②; Wang Yu-min③ |
| ①School of Math and Computer Sci., Nanjing Normal Univ., Nanjing 210097 China;②School of Computer Science Shaanxi Normal University Xi’an 710062;③National Key Lab. on ISN Xidian University Xi’an 710071 |
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Abstract Verifiable secret sharing widely applies in the areas such as safeguarding and legal use of confidential information, key escrow, group oriented cryptography, secured mul-tiparty computation, access control and electronic commerce. In this paper, the problem of verifiable secret sharing on vector space access structures is studied. An information-theoretical secure verifiable secret sharing protocol on this kind of access structures is pro-posed. Compared with generalized verifiable secret sharing protocols available, the newly proposed protocol has not only a higher information rate, but also a far lower cost of com-putation and communication.
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Received: 11 May 2003
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2004, Vol. 26 
