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Group-homomorphic Secret Sharing Schemes Are Group-characterizable with Normal Subgroups
homomorphic secret sharing schemes group-characterizable distribution quasi-uniform distribution
2019/5/29
A group-characterizable random variable [Chan and Yeung 2002] is induced by a joint distribution on the (left) cosets of some subgroups of a main group. A homomorphic secret sharing scheme [Benaloh 19...
Homomorphic secret sharing (HSS) is an analog of somewhat- or fully homomorphic encryption (S/FHE) to the setting of secret sharing, with applications including succinct secure computation, private ma...
Homomorphic Secret Sharing for Low Degree Polynomials
secret sharing Homomorphic secret sharing
2018/11/12
Homomorphic secret sharing (HSS) allows nn clients to secret-share data to mm servers, who can then homomorphically evaluate public functions over the shares. A natural application is outsourced compu...
An Optimal Distributed Discrete Log Protocol with Applications to Homomorphic Secret Sharing
Homomorphic secret sharing share conversion fully homomorphic encryption
2018/8/10
The distributed discrete logarithm (DDL) problem was introduced by Boyle et al. at CRYPTO 2016. A protocol solving this problem was the main tool used in the share conversion procedure of their homomo...
Homomorphic Secret Sharing: Optimizations and Applications
Homomorphic secret sharing secure computation applications
2018/5/11
We continue the study of Homomorphic Secret Sharing (HSS), recently introduced by Boyle et al. (Crypto 2016, Eurocrypt 2017). A (2-party) HSS scheme splits an input x into shares (x0, x1) such that (1...
Foundations of Homomorphic Secret Sharing
homomorphic secret sharing, secure computation, communication complexity
2018/1/2
Homomorphic secret sharing (HSS) is the secret sharing analogue of homomorphic encryption. An HSS scheme supports a local evaluation of functions on shares of one or more secret inputs, such that the ...