| M. Yung, Multi secret sharing. |
....(mod q) Secrecy: The semantic security of the secret x is preserved. Multi Secret Sharing. Theoretically, instead of recovering each lost share separately by treating the set fx i g i2D as a secret sharing of a single x r for each r 2 B, we can treat it as a multi secret sharing (introduced in [20]) of all fx r g r2B . The servers D can recover shares fx r g r2B simultaneously, by adding random k degree polynomials ffi i ( Delta) such that ffi i (r) 0 for all r 2 B to their shares and then sending the new shares to servers B to let them reconstruct their original shares. Even though this ....
M. Yung, Multi secret sharing.
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