What is the Context of Number-Theoretic Transform?

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.

Number-Theoretic Transform

Definition

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.

∞Cryptographic Kernels

∞Proof Generation Time

∞Groth16 Protocol

Characterizing GPU Bottlenecks Scales Zero-Knowledge Proofs for Practical Deployment

ZKProphet identifies the Number-Theoretic Transform as the 90% latency bottleneck in GPU-accelerated ZKPs, providing a critical hardware-software roadmap for scalable, private computation.

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∞Cryptographic Kernels

∞Computation Scaling

∞Zero-Knowledge Proofs

Characterizing ZKP GPU Bottlenecks Accelerates Verifiable Computation Scaling

ZKProphet empirically identifies Number-Theoretic Transform as the 90% GPU bottleneck, shifting optimization focus to unlock practical ZKP scaling.

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∞Number-Theoretic Transform

∞Post-Quantum Security

∞Multi-Scalar Multiplication

GPU Acceleration Decouples ZKP Proving from Computation Latency

Research unlocks 800x speedups for ZKP proving by autotuning GPU kernels, collapsing the computational barrier to verifiable scale.

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∞Performance Bottlenecks

∞Zero-Knowledge

∞Multi-Scalar Multiplication

GPU Bottlenecks Hinder Zero-Knowledge Proof Scalability and Adoption

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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∞Hardware Bottlenecks

∞GPU Acceleration

∞Blockchain Scaling

ZKProphet: Optimizing Zero-Knowledge Proof Performance on GPU Architectures

This research identifies Number-Theoretic Transform as the critical bottleneck in GPU-accelerated Zero-Knowledge Proofs, proposing optimizations for enhanced verifiable computation.