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On the Download Rate of Homomorphic Secret Sharing. (arXiv:2111.10126v2 [cs.IT] UPDATED)
May 31, 2022, 1:20 a.m. | Ingerid Fosli, Yuval Ishai, Victor I. Kolobov, Mary Wootters
cs.CR updates on arXiv.org arxiv.org
A homomorphic secret sharing (HSS) scheme is a secret sharing scheme that
supports evaluating functions on shared secrets by means of a local mapping
from input shares to output shares. We initiate the study of the download rate
of HSS, namely, the achievable ratio between the length of the output shares
and the output length when amortized over $\ell$ function evaluations. We
obtain the following results.
* In the case of linear information-theoretic HSS schemes for degree-$d$
multivariate polynomials, we …
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