By Tal Malkin, Vladimir Kolesnikov, Allison Lewko, Michalis Polychronakis
Read or Download Applied Cryptography and Network Security: 13th International Conference, ACNS 2015, New York, NY, USA, June 2-5, 2015, Revised Selected Papers PDF
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Extra info for Applied Cryptography and Network Security: 13th International Conference, ACNS 2015, New York, NY, USA, June 2-5, 2015, Revised Selected Papers
5 Each Pk checks if the shares of Ha are consistent with the interpolation of the polynomial U (i,k,m) . That is, Pk checks if (k,m) (αi ) for each j ∈ [ ]. If some U (i,k,m) does U (i,k,m) (ζ j ) = Hj not pass this check, then Pk sends (Pk , accuse, Pi ) to each party in P . 6 Each Pj ∈ P uses the accusations sent in the previous step to determine a set Corrj of parties in P that might be corrupt. More speciﬁcally, Pj reads through the list of accusations, and adds parties to Corrj according to the following rule: If neither of the parties in the current accusation are in Corrj , then add both of them to Corrj ; otherwise, ignore the accusation.
Of particular concern are distributed storage and computing settings in the presence of advanced persistent threats who, given suﬃcient time, will successfully corrupt enough parties to break the threshold that guarantees security. To address this issue, Ostrovsky and Yung  introduced the proactive security model. In this model, the execution of the protocol(s) is divided into phases. The adversary is allowed to corrupt and decorrupt parties at will, under the constraint that no more than a threshold number of parties are corrupt in any given phase.
The deﬁnition of a PSS scheme is essentially the same as the deﬁnition of an SS scheme, with the addition of Refresh and Recovery protocols for securing against a mobile adversary. The Refresh protocol refreshes data to prevent a mobile adversary from learning secrets, and the Recovery protocols allows decorrupted parties to recover their secrets, preventing the adversary from destroying data. Before deﬁning a PSS scheme, we need to deﬁne refresh and recovery phases. Definition 2. A refresh phase (resp.
Applied Cryptography and Network Security: 13th International Conference, ACNS 2015, New York, NY, USA, June 2-5, 2015, Revised Selected Papers by Tal Malkin, Vladimir Kolesnikov, Allison Lewko, Michalis Polychronakis
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