Colors and claiming regions
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\item In the untrusted setup, the same guarantees should be made as the trusted setup, but on a peer-to-peer network.
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\end{itemize}
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\end{frame}
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\begin{frame}{Proposition}
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\begin{frame}{Rationale}
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\begin{itemize}
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\item Zero-knowledge proofs. \begin{itemize}
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\item
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\item \textbf{Federation} \begin{itemize}
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\item Federated platforms can have longer lifespans than centralised platforms.
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\item Federated platforms are more resistant to censorship and can help promote anonymity and privacy.
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\end{itemize}
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\item Asymmetric encryption. \begin{itemize}
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\item
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\end{itemize}
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\item Hashing. \begin{itemize}
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\item
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\item \textbf{Security} \begin{itemize}
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\item Constantly looking for ways to secure against threats specific to federated and decentralised infrastructures.
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\item Security issues can be devastating even to decentralised infrastructures.
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\end{itemize}
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\end{itemize}
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\end{frame}
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\begin{frame}{State of the art}
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\begin{itemize}
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\item Private key encryption.
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\item Signatures.
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\item Additive homomorphic encryption.
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\item \textbf{Web platform}. Rapidly evolving.
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\item \textbf{Monero, Zcash}. Decentralised ledgers respectively using the \textit{Bulletproof} and \textit{ZK-SNARK} zero-knowledge proof systems.
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\end{itemize}
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\end{frame}
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\begin{frame}{Results}
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Emulated P2P environment using WebSockets.
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\end{frame}
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\begin{frame}{Results}
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Produce shared random values without beacons using commitment schemes.
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\end{frame}
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\begin{frame}{Results}
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Generating large primes using ECMAScript \texttt{BigInt} and Rabin-Miller.
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\end{frame}
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\begin{frame}{Results}
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Implementation of the Paillier additive homomorphic cryptosystem.
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\end{frame}
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\begin{frame}{Results}
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Implementation of Risk.
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\end{frame}
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\end{document}
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