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. Cryptology 2007)). 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.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
