The Number-Theoretic Transform is a discrete Fourier transform over a finite field, used in applications requiring efficient polynomial multiplication. It operates within modular arithmetic, making it suitable for computations involving large integers without floating-point errors. This transform finds utility in various cryptographic constructions and signal processing.
Context
In the context of advanced cryptography relevant to digital assets, the Number-Theoretic Transform is a foundational component for certain zero-knowledge proofs and homomorphic encryption schemes. News reports might reference its application in developing more private and scalable blockchain solutions. Its efficiency in modular arithmetic is key for privacy-preserving computations on distributed ledgers.
This research identifies Number-Theoretic Transform as the critical bottleneck in GPU-accelerated Zero-Knowledge Proofs, proposing optimizations for enhanced verifiable computation.
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