papers/lux-universal-threshold-signatures/sections/10-future-work.tex

\section{Future Work}


\subsection{Short-Term Enhancements}

\paragraph{Additional Protocols}
\begin{itemize}
\item CGGMP21 updates (enhanced abort identification)
\item SpeedyMuSig2 for fast 2-round Schnorr
\item GG18-based EdDSA threshold signatures
\end{itemize}

\paragraph{Chain Support Expansion}
\begin{itemize}
\item Tier 2 chains: Cosmos, Polkadot, Avalanche, Aptos, Sui
\item Privacy chains: Zcash, Monero (threshold view keys)
\item Emerging chains: Movement, Monad, Berachain
\end{itemize}

\paragraph{Performance Optimization}
\begin{itemize}
\item GPU acceleration for ZK proof generation
\item WebAssembly compilation for browser deployment
\item Presignature pool management with predictive allocation
\end{itemize}

\subsection{Medium-Term Research}

\paragraph{Asynchronous Protocols} Remove need for synchronization:
\begin{itemize}
\item Asynchronous DKG (distributed key generation)
\item Threshold signing with guaranteed termination
\item Network partition tolerance
\end{itemize}

\paragraph{Proactive Security Enhancements}
\begin{itemize}
\item Automated share refresh scheduling
\item Mobile adversary resistance (adaptive corruption)
\item Key escrow and recovery mechanisms
\end{itemize}

\paragraph{Advanced LSS Features}
\begin{itemize}
\item Concurrent resharing without coordinator
\item Threshold changes without full resharing
\item Hierarchical threshold structures
\end{itemize}

\subsection{Long-Term Vision}

\paragraph{Fully Homomorphic Threshold Signatures} Enable threshold signing over encrypted data without revealing intermediate values.

\paragraph{Quantum-Safe Interoperability} Hybrid classical/post-quantum schemes for gradual transition:
\begin{itemize}
\item Dual signatures (ECDSA + Pulsar)
\item Merkle aggregation for efficiency
\item Backward compatibility with existing chains
\end{itemize}

\paragraph{Decentralized Threshold Networks} Public infrastructure for threshold signing-as-a-service:
\begin{itemize}
\item Economic incentives for liveness
\item Slashing for Byzantine behavior
\item Automated party discovery and reputation
\end{itemize}

\paragraph{AI Agent Integration} Threshold signatures for AI economies:
\begin{itemize}
\item AI agents provisioned with single shares
\item Multi-agent consent workflows
\item ``Know Your Agent'' cryptographic identity
\end{itemize}