Abstract
Verifiable secret sharing (VSS) is a fundamental tool of threshold cryptography and distributed computing. A number of VSS schemes for sharing a secret that is an element of a finite field, either on threshold access structures or on general access structures have been available. In this paper, we study the verifiably sharing of a random element of a bilinear group on vector space access structures. We propose such two information-theoretical secure schemes: a basic scheme and a modified one with improved efficiency. The basic one is more general for applications while the modified one has a smaller computational cost compared with the basic one. The computational cost as well as the security analysis for the proposed schemes are presented.
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Zhang, J., Zhang, F. (2014). Information-Theoretical Secure Verifiable Secret Sharing with Vector Space Access Structures over Bilinear Groups. In: Huang, X., Zhou, J. (eds) Information Security Practice and Experience. ISPEC 2014. Lecture Notes in Computer Science, vol 8434. Springer, Cham. https://doi.org/10.1007/978-3-319-06320-1_24
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DOI: https://doi.org/10.1007/978-3-319-06320-1_24
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