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Please use this identifier to cite or link to this item: http://hdl.handle.net/10119/10296

Title: Ideal Secret Sharing Schemes with Share Selectability
Authors: Emura, Keita
Miyaji, Atsuko
Nomura, Akito
Rahman, Mohammad Shahriar
Soshi, Masakazu
Keywords: Secret Sharing
Share Selectability
Issue Date: 2011-11-01
Publisher: Springer
Magazine name: Lecture Notes in Computer Science
Volume: 7043/2011
Start page: 143
End page: 157
DOI: 10.1007/978-3-642-25243-3_12
Abstract: In this paper, we investigate a new concept, called share selectable secret sharing, where no unauthorized set can obtain information of the secret (in the information-theoretic sense) even if shares are selectable as arbitrary values which are independent of the secret. We propose two totally selectable (i.e., all users’ shares are selectable) secret sharing schemes with unanimous structure. We also propose a quasiselectable (i.e., a part of each user’s share is selectable) secret sharing scheme with certain hierarchical structures which contains special cases of the hierarchical threshold structures introduced by Tamir Tassa in TCC2004 (or its full version (J. Cryptology2007)). If all selectable shares are randomly chosen, then our schemes are perfect. Finally, we discuss the effect of the leakage information of the secret if a weak secret is indicated as a selectable share.
Rights: This is the author-created version of Springer, Keita Emura, Atsuko Miyaji, Akito Nomura, Mohammad Shahriar Rahman, and Masakazu Soshi, Lecture Notes in Computer Science, 7043/2011, 2011, 143-157. The original publication is available at www.springerlink.com, http://dx.doi.org/10.1007/978-3-642-25243-3_12
URI: http://hdl.handle.net/10119/10296
Material Type: author
Appears in Collections:b10-1. 雑誌掲載論文 (Journal Articles)

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