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We study leakage-resilient continuously non-malleable secret sharing, as recently intro- duced by Faonio and Venturi (CRYPTO 2019). In this setting, an attacker can continuously tamper and leak from a...
A secret-sharing scheme allows some authorized sets of parties to reconstruct a secret; the collection of authorized sets is called the access structure. For over 30 years, it was known that any (mono...
In this work we present a collection of compilers that take secret sharing schemes for an arbitrary access structures as input and produce either leakage-resilient or non-malleable secret sharing sche...
Multilevel and compartmented access structures are two important classes of access structures where participants are grouped into levels/compartments with different degrees of trust and privileges. Th...
Goyal and Kumar (STOC'18) recently introduced the notion of non-malleable secret sharing. Very roughly, the guarantee they seek is the following: the adversary may potentially tamper with all of the s...
We review the problem of finding the optimal information ratios of graph access structures on six participants. Study of such access structures were initiated by van Dijk [Des. Codes Cryptogr. 15 (199...
A secret-sharing scheme realizes the forbidden graph access structure determined by a graph G=(V,E)G=(V,E) if a pair of vertices can reconstruct the secret if and only if it is an edge in GG. Secret-s...
In this paper, we consider a special type of secret sharing scheme known as Visual Cryptographic Scheme (VCS) in which the secret reconstruction is done visually without any mathematical computation...
The information ratio of a secret sharing scheme ΣΣ measures the size of the largest share of the scheme, and is denoted by σ(Σ)σ(Σ). The optimal information ratio of an access structure ΓΓ is the inf...
Secret sharing schemes with general monotone access structures have been widely discussed in the literature. But in some scenarios, non-monotone access structures may have more practical significanc...
In this paper, we introduce the notion of a joint compartmented threshold access structure (JCTAS). We study the necessary conditions for the existence of an ideal and perfect secret sharing scheme an...
In this paper we partially determine the access structures of algebraic geometric secret sharing schemes from one point algebraic geometric codes associated with a hyperelliptic curve of any genus. Ou...
An important parameter in a secret sharing scheme is the number of minimal qualified sets.
An important parameter in a secret sharing scheme is the number of minimal qualified sets. Given this number, the universal access structure is the richest possible structure, namely the one in which ...
This basic idea of (t,n) secret sharing due to Shamir and Blakley, is generalized by Simmons to compartmented and hierarchical access structures. While research on the area goes on with description ...

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