Robust Secret Sample Clauses

Robust Secret. Sharing We recall the definition of a robust secret sharing scheme, slightly simplified for our purposes from Xxxxxx et al. [CDD+15]. For a vector c ∈ Fn and a set A ⊆ [n], we denote with c the projection Fn → F|A|, i.e., the sub-vector q (ci)i∈A. A q q Definition 2. Let λ ∈ N, q a λ-bit prime, Fq a finite field and n, t, m, r ∈ N with t < r ≤ n and m < r. An (n, t, r)q robust secret sharing scheme (RSS) consists of two probabilistic algorithms Share : Fq → Fn and Reconstruct : Fn → Fq with the following q q properties: – t-privacy: for any s, sj ∈ Fq, A ⊂ [n] with |A| ≤ t, the projections cA of c ←$ Share(s) and cjA of cj ← Share(sj) are identically distributed. $ ∈ ⊂ | | ≥ – r-robustness: for any s Fq, A [n] with A r, any c output by Share(s), and any c˜ such that cA = c˜A, it holds that Reconstruct(c˜) = s. − In other words, an (n, t, r)q-RSS is able to reconstruct the shared secret even if the adversary tampered with up to n r shares, while each set of t shares is distributed independently of the shared secret s and thus reveals nothing about it. We note that we allow for a gap, i.e., r ≥ t + 1. Schemes with r > t + 1 are called ramp RSS.
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Robust Secret. Sharing We recall the definition of a robust secret sharing scheme, slightly simplified for our purposes from Xxxxxx et al. [22]. For a vector c ∈ Fn and a set A ⊆ [n], we denote with c the projection Fn → F|A|, q

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  • Disciplinary Information There are no legal or disciplinary events to disclose in response to this item.

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  • Confidentiality & Proprietary Information The Consultant acknowledges that it will be necessary for the Client to disclose certain confidential and proprietary information to the Consultant in order for the Consultant to perform their duties under this Agreement. The Consultant acknowledges that disclosure to a third (3rd) party or misuse of this proprietary or confidential information would irreparably harm the Client. Accordingly, the Consultant will not disclose or use, either during or after the term of this Agreement, any proprietary or confidential information of the Client without the Client's prior written permission except to the extent necessary to perform the Services on the Client's behalf. Proprietary or confidential information includes, but is not limited to:

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