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→Proof of security: There's no reason to capitalize the initial "e" in "elliptic". |
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The server computes <math>\sigma(v_i)</math> for each <math>1 \leq i \leq k</math>. Transmits <math>v_i, \sigma(v_i)</math>.
At each edge <math>e</math> while computing
<math>y(e) = \sum_{f \in E:\mathrm{out}(f)=\mathrm{in}(e)} (m_e(f)y(f))</math>
also compute
<math>\sigma(y(e)) = \sum_{f \in E:\mathrm{out}(f)=\mathrm{in}(e)} (m_e(f)\sigma(y(f)))</math>
on the elliptic curve <math>E</math>.
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