Welcome to the resource topic for 2020/1035
Title:
Evolving Secret Sharing with Essential Participants
Authors: Jyotirmoy Pramanik, Avishek Adhikari
Abstract:Komargodski et.al. introduced {\em Evolving Secret Sharing} which allows an imaprtial participant, called \emph{dealer}, to share a secret among unbounded number of participants over any given access structure. In their construction for evolving secret sharing over general access structure, the size of share of the i^{th} participant happens to be exponential (\mathcal{O}(2^{i-1})). They also provided constructions for (k,\infty) threshold secret sharing. We consider the problem of evolving secret sharing with t essential participants, namely, over t-(k,\infty) access structure, a generalization of (k,\infty) secret sharing (t=0). We further generalize this access structure to a possible case of unbounded number of essential participants and provide a construction for secret sharing on it. Both the constructions are information theoretically secure and reduce the share size of the construction due to Komargodski et.al. over general access structure, exponentially. Moreover, the essential participants receive ideal (and hence, optimal) shares in the first construction.
ePrint: https://eprint.iacr.org/2020/1035
See all topics related to this paper.
Feel free to post resources that are related to this paper below.
Example resources include: implementations, explanation materials, talks, slides, links to previous discussions on other websites.
For more information, see the rules for Resource Topics .