papers/ntt-transform/sections/12-future-optimizations.tex

\section{Future Optimizations}


\subsection{Hardware Acceleration}

Future EVM implementations could include:
\begin{itemize}
\item FPGA-accelerated NTT modules
\item GPU parallel butterfly operations
\item Dedicated quantum-resistant instruction sets
\end{itemize}

\subsection{Algorithmic Improvements}

\begin{itemize}
\item Number Theoretic Transform variants (Schönhage-Strassen)
\item Karatsuba multiplication for small polynomials
\item Lazy reduction techniques
\item Cache-friendly memory layouts
\end{itemize}

\subsection{Protocol-Level Integration}

\begin{itemize}
\item Native post-quantum signature types
\item Quantum-safe account abstraction
\item Hybrid classical/post-quantum schemes
\item Gradual migration paths
\end{itemize}