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CRYSTAL-Kyber (Kyber) is one of the post-quantum cryptography (PQC) key-encapsulation mechanism (KEM) schemes selected during the standardization process. This paper addresses optimization for Kyber architecture with respect to latency and…

密码学与安全 · 计算机科学 2023-12-05 Weihang Tan , Yingjie Lao , Keshab K. Parhi

The Number Theoretic Transform (NTT) is an indispensable tool for computing efficient polynomial multiplications in post-quantum lattice-based cryptography. It has strong resemblance with the Fast Fourier Transform (FFT), which is the most…

密码学与安全 · 计算机科学 2025-04-16 Rishabh Shrivastava , Chaitanya Prasad Ratnala , Durga Manasa Puli , Utsav Banerjee

Number Theoretic Transform (NTT) is an essential mathematical tool for computing polynomial multiplication in promising lattice-based cryptography. However, costly division operations and complex data dependencies make efficient and…

硬件体系结构 · 计算机科学 2023-04-25 Jingyao Zhang , Mohsen Imani , Elaheh Sadredini

Number theoretic transform (NTT) is the most efficient method for multiplying two polynomials of high degree with integer coefficients, due to its series of advantages in terms of algorithm and implementation, and is consequently…

密码学与安全 · 计算机科学 2022-11-28 Zhichuang Liang , Yunlei Zhao

Polynomial multiplication stands out as a highly demanding arithmetic process in the development of post-quantum cryptosystems. The importance of the number-theoretic transform (NTT) extends beyond post-quantum cryptosystems, proving…

密码学与安全 · 计算机科学 2024-09-20 Kasra Ahmadi , Saeed Aghapour , Mehran Mozaffari Kermani , Reza Azarderakhsh

This paper presents digital hardware for computing polynomial multiplication using Number Theoretic Transform (NTT), specifically designed for implementation on Field Programmable Gate Arrays (FPGAs). Multiplying two large polynomials…

硬件体系结构 · 计算机科学 2025-01-22 Moslem Heidarpur , Mitra Mirhassani , Norman Chang

Polynomial multiplication is one of the fundamental operations in many applications, such as fully homomorphic encryption (FHE). However, the computational inefficiency stemming from polynomials with many large-bit coefficients poses a…

硬件体系结构 · 计算机科学 2024-10-08 Xiangchen Meng , Zijun Jiang , Yangdi Lyu

The Number Theoretic Transform (NTT) is a critical computational bottleneck in many lattice-based postquantum cryptographic (PQC) algorithms. By leveraging the Fast Fourier Transform (FFT) algorithm, the NTT of a polynomial of degree N - 1…

密码学与安全 · 计算机科学 2026-01-27 Mohammed Nabeel , Mahmoud Hafez , Michail Maniatakos

High-speed long polynomial multiplication is important for applications in homomorphic encryption (HE) and lattice-based cryptosystems. This paper addresses low-latency hardware architectures for long polynomial modular multiplication using…

硬件体系结构 · 计算机科学 2024-03-21 Weihang Tan , Sin-Wei Chiu , Antian Wang , Yingjie Lao , Keshab K. Parhi

The Number Theoretic Transform (NTT) is a fundamental operation in privacy-preserving technologies, particularly within fully homomorphic encryption (FHE). The efficiency of NTT computation directly impacts the overall performance of FHE,…

硬件体系结构 · 计算机科学 2025-07-18 George Alexakis , Dimitrios Schoinianakis , Giorgos Dimitrakopoulos

Homomorphic Encryption (HE) enables users to securely outsource both the storage and computation of sensitive data to untrusted servers. Not only does HE offer an attractive solution for security in cloud systems, but lattice-based HE…

密码学与安全 · 计算机科学 2022-09-07 Kaustubh Shivdikar , Gilbert Jonatan , Evelio Mora , Neal Livesay , Rashmi Agrawal , Ajay Joshi , Jose Abellan , John Kim , David Kaeli

Many important applications across science, data analytics, and AI workloads depend on distributed matrix multiplication. Prior work has developed a large array of algorithms suitable for different problem sizes and partitionings including…

分布式、并行与集群计算 · 计算机科学 2025-10-13 Benjamin Brock , Renato Golin

Fast time-domain algorithms have been developed in signal processing applications to reduce the multiplication complexity. For example, fast convolution structures using Cook-Toom and Winograd algorithms are well understood. Short length…

信号处理 · 电气工程与系统科学 2026-04-21 Keshab K. Parhi

Kyber is a lattice-based key encapsulation mechanism selected for standardization by the NIST Post-Quantum Cryptography (PQC) project. A critical component of Kyber's key generation process is the sampling of matrix elements from a uniform…

密码学与安全 · 计算机科学 2025-05-06 Paresh Baidya , Rourab Paul , Vikas Srivastava , Sumit Kumar Debnath

Dilithium is a lattice-based digital signature scheme standardized by the NIST post-quantum cryptography (PQC) project. In this study, we focus on developing efficient sparse polynomial multiplication implementations of Dilithium for ARM…

密码学与安全 · 计算机科学 2024-04-22 Jieyu Zheng , Hong Zhang , Le Tian , Zhuo Zhang , Hanyu Wei , Zhiwei Chu , Yafang Yang , Yunlei Zhao

Polynomial multiplication is a bottleneck in most of the public-key cryptography protocols, including Elliptic-curve cryptography and several of the post-quantum cryptography algorithms presently being studied. In this paper, we present a…

密码学与安全 · 计算机科学 2021-03-30 Malik Imran , Zain Ul Abideen , Samuel Pagliarini

In this paper, we present the first multi-modal FHE accelerator based on a unified architecture, which efficiently supports CKKS, TFHE, and their conversion scheme within a single accelerator. To achieve this goal, we first analyze the…

硬件体系结构 · 计算机科学 2024-10-18 Xianglong Deng , Shengyu Fan , Zhicheng Hu , Zhuoyu Tian , Zihao Yang , Jiangrui Yu , Dingyuan Cao , Dan Meng , Rui Hou , Meng Li , Qian Lou , Mingzhe Zhang

Digital signatures are fundamental building blocks in various protocols to provide integrity and authenticity. The development of the quantum computing has raised concerns about the security guarantees afforded by classical signature…

密码学与安全 · 计算机科学 2023-04-25 Shiyu Shen , Hao Yang , Wangchen Dai , Hong Zhang , Zhe Liu , Yunlei Zhao

Cryptographic schemes like Fully Homomorphic Encryption (FHE) and Zero-Knowledge Proofs (ZKPs), while offering powerful privacy-preserving capabilities, are often hindered by their computational complexity. Polynomial multiplication, a core…

Matrix multiplication is a fundamental kernel in large-scale artificial intelligence and scientific computing, but its performance on conventional electronic accelerators is increasingly constrained by memory bandwidth and energy…

新兴技术 · 计算机科学 2026-04-15 Hailong Gong , Haibo Zhang , Amanda S. Barnard , Mahbub Hassan , Matt Woolley , Rajkumar Buyya
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