Security Proofs for Compact, Multi-Party Confidential Transactions Sample Clauses

Security Proofs for Compact, Multi-Party Confidential Transactions. ‌ Now, we prove the security of compact MCT when ▇▇▇▇▇▇▇ signatures (SIGSCH) [162, 214], BLS signatures (SIGBLS) [33, 37], and MBP are used. Theorem 6. MCT, a compact multi-party confidential transaction protocol is complete, sound, zero-opening, completely theft resistant, and indistinguishable if SIGBLS, SIGSCH, and RP are secure. Lemma 6 (Completeness). MCT is complete if SIG, RP, and CM are complete. We point to the MCT construction to prove completeness. Since MCTs satisfies verification tests (refer MCT.TxVer()), we claim that MCT is complete. Lemma 7 (Soundness). MCT is sound if RP is knowledge sound. The validity of Lemma 7 is directly visible from the knowledge soundness of PR. Lemma 8 (Zero Opening Signatures). MCT has the zero opening signatures property if COM
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