Threshold Cryptosystems From Threshold Fully Homomorphic Encryption

@inproceedings{Boneh2017ThresholdCF,
  title={Threshold Cryptosystems From Threshold Fully Homomorphic Encryption},
  author={Dan Boneh and Rosario Gennaro and Steven Goldfeder and Aayush Jain and Sam Kim and Peter M. R. Rasmussen and Amit Sahai},
  booktitle={IACR Cryptology ePrint Archive},
  year={2017}
}
We develop a general approach to adding a threshold functionality to a large class of (nonthreshold) cryptographic schemes. A threshold functionality enables a secret key to be split into a number of shares, so that only a threshold of parties can use the key, without reconstructing the key. We begin by constructing a threshold fully-homomorphic encryption scheme (TFHE) from the learning with errors (LWE) problem. We next introduce a new concept, called a universal thresholdizer, from which… CONTINUE READING
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