Multi-scalar multiplication is a cryptographic operation that involves computing the sum of multiple scalar-point multiplications on an elliptic curve. This operation is fundamental to the efficiency of many zero-knowledge proof systems and digital signature schemes. Optimizing multi-scalar multiplication is vital for enhancing the performance of blockchain protocols. It significantly impacts transaction throughput and verification times.
Context
Multi-scalar multiplication stands as a critical area of research for improving the efficiency and scalability of privacy-preserving technologies in blockchain. Discussions often center on algorithmic optimizations and hardware acceleration techniques to reduce computation time. Future developments will likely involve new mathematical approaches and specialized hardware to further enhance the speed and practicality of this essential cryptographic primitive.
This research identifies Number-Theoretic Transform as the primary GPU bottleneck for Zero-Knowledge Proofs, proposing architectural and tuning solutions to unlock verifiable computing at scale.
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