Unconditionally-secure robust secret sharing with compact shares

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Abstract

We consider the problem of reconstructing a shared secret in the presence of faulty shares, with unconditional security. We require that any t shares give no information on the shared secret, and reconstruction is possible even if up to t out of the n shares are incorrect. The interesting setting is n/3≤t

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Cevallos, A., Fehr, S., Ostrovsky, R., & Rabani, Y. (2012). Unconditionally-secure robust secret sharing with compact shares. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 7237 LNCS, pp. 195–208). https://doi.org/10.1007/978-3-642-29011-4_13

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