# Building Faster Cryptography with Carryless Multiplication in NVIDIA CUDA 13.3

DevFeed: [Building Faster Cryptography with Carryless Multiplication in NVIDIA CUDA 13.3](<https://devfeed.tech/articles/building-faster-cryptography-with-carryless-multiplication-in-nvidia-cuda-13-3-6774.md>)

Original publisher: [Read original article](<https://developer.nvidia.com/blog/building-faster-cryptography-with-carryless-multiplication-in-nvidia-cuda-13-3/>)

Author: Michelle Horton

Published: 2026-07-15T17:37:12Z

Content type: article

Language: en

Sources: [NVIDIA Developer](<https://devfeed.tech/sources/nvidia-developer.md>), [NVIDIA Technical Blog](<https://devfeed.tech/sources/nvidia-technical-blog.md>)

Topics: [Cryptography](<https://devfeed.tech/topics/cryptography.md>)

Tags: [benchmark](<https://devfeed.tech/tags/benchmark.md>), [cryptography](<https://devfeed.tech/tags/cryptography.md>), [cuda](<https://devfeed.tech/tags/cuda.md>), [developer-tools-techniques](<https://devfeed.tech/tags/developer-tools-techniques.md>), [encryption](<https://devfeed.tech/tags/encryption.md>), [featured](<https://devfeed.tech/tags/featured.md>), [gpu](<https://devfeed.tech/tags/gpu.md>), [hardware](<https://devfeed.tech/tags/hardware.md>), [nvidia](<https://devfeed.tech/tags/nvidia.md>), [trustworthy-ai-cybersecurity](<https://devfeed.tech/tags/trustworthy-ai-cybersecurity.md>), [zero-knowledge](<https://devfeed.tech/tags/zero-knowledge.md>)

## AI overview

NVIDIA CUDA 13.3 adds a carryless-multiplication PTX instruction for Ampere-and-newer GPUs. The article benchmarks GHASH and zero-knowledge sum-check workloads, describing substantial throughput gains and explaining binary extension-field arithmetic.

## Source excerpt

For over fifteen years, x86 CPUs have shipped with a dedicated hardware instruction for carryless multiplication. It's a small but stubborn primitive that...