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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…

Cryptography and Security · Computer Science 2025-05-06 Paresh Baidya , Rourab Paul , Vikas Srivastava , Sumit Kumar Debnath

Large-degree polynomial multiplication is an integral component of post-quantum secure lattice-based cryptographic algorithms like CRYSTALS-Kyber and Dilithium. The computational complexity of large-degree polynomial multiplication can be…

Hardware Architecture · Computer Science 2023-11-09 Suraj Mandal , Debapriya Basu Roy

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…

Cryptography and Security · Computer Science 2024-09-20 Kasra Ahmadi , Saeed Aghapour , Mehran Mozaffari Kermani , Reza Azarderakhsh

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…

Hardware Architecture · Computer Science 2023-04-25 Jingyao Zhang , Mohsen Imani , Elaheh Sadredini

This paper makes a case for accelerating lattice-based post quantum cryptography (PQC) with memristor based crossbars, and shows that these inherently error-tolerant algorithms are a good fit for noisy analog MAC operations in crossbars. We…

Hardware Architecture · Computer Science 2023-02-02 Sarabjeet Singh , Xiong Fan , Ananth Krishna Prasad , Lin Jia , Anirban Nag , Rajeev Balasubramonian , Mahdi Nazm Bojnordi , Elaine Shi

Kyber, an IND-CCA2-secure lattice-based post-quantum key-encapsulation mechanism, is the winner of the first post-quantum cryptography standardization process of the US National Institute of Standards and Technology. In this work, we…

Cryptography and Security · Computer Science 2025-03-14 Fabian Segatz , Muhammad Ihsan Al Hafiz

In this work, we make \emph{systematic} optimizations of key encapsulation mechanisms (KEM) based on module learning-with-errors (MLWE), covering algorithmic design, fundamental operation of number-theoretic transform (NTT), approaches to…

Cryptography and Security · Computer Science 2021-09-08 Shiyu Shen , Feng He , Zhichuang Liang , Yang Wang , Yunlei Zhao

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…

Cryptography and Security · Computer Science 2025-04-16 Rishabh Shrivastava , Chaitanya Prasad Ratnala , Durga Manasa Puli , Utsav Banerjee

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…

Hardware Architecture · Computer Science 2024-10-08 Xiangchen Meng , Zijun Jiang , Yangdi Lyu

Sparse Matrix-Matrix multiplication is a key kernel that has applications in several domains such as scientific computing and graph analysis. Several algorithms have been studied in the past for this foundational kernel. In this paper, we…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-01-10 Mehmet Deveci , Christian Trott , Sivasankaran Rajamanickam

CRYSTALS-Kyber has been standardized as the only key-encapsulation mechanism (KEM) scheme by NIST to withstand attacks by large-scale quantum computers. However, the side-channel attacks (SCAs) on its implementation are still needed to be…

Cryptography and Security · Computer Science 2025-07-08 Dejun Xu , Kai Wang , Jing Tian

This paper presents a low-latency hardware accelerator for modular polynomial multiplication for lattice-based post-quantum cryptography and homomorphic encryption applications. The proposed novel modular polynomial multiplier exploits the…

Cryptography and Security · Computer Science 2024-05-07 Weihang Tan , Antian Wang , Yingjie Lao , Xinmiao Zhang , Keshab K. Parhi

This paper presents another improved version of Plantard arithmetic that could speed up Kyber implementations on two low-end 32-bit IoT platforms (ARM Cortex-M3 and RISC-V) without SIMD extensions. Specifically, we further enlarge the input…

Computers and Society · Computer Science 2024-02-20 Junhao Huang , Haosong Zhao , Jipeng Zhang , Wangchen Dai , Lu Zhou , Ray C. C. Cheung , Cetin Kaya Koc , Donglong Chen

Kernel methods are a highly effective and widely used collection of modern machine learning algorithms. A fundamental limitation of virtually all such methods are computations involving the kernel matrix that naively scale quadratically…

Machine Learning · Computer Science 2021-06-09 John Paul Ryan , Sebastian Ament , Carla P. Gomes , Anil Damle

This paper describes a constant-time lattice encoder for the National Institute of Standards and Technology (NIST) recommended post-quantum encryption algorithm: Kyber. The first main contribution of this paper is to refine the analysis of…

Information Theory · Computer Science 2024-01-12 Shuiyin Liu , Amin Sakzad

In generating large quantities of DNA data, high-throughput sequencing technologies require advanced bioinformatics infrastructures for efficient data analysis. k-mer counting, the process of quantifying the frequency of fixed-length k DNA…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-07-11 Yifan Li , Giulia Guidi

FrodoKEM is a lattice-based post-quantum key encapsulation mechanism (KEM). It has been considered for standardization by the International Organization for Standardization (ISO) due to its robust security profile. However, its hardware…

Cryptography and Security · Computer Science 2026-01-26 Kai Li , Jiahao Lu , Fu Yao , Guang Zeng , Dongsheng Liu , Shengfei Gu , Zhengpeng Zhao , Jiachen Wang

The inference and training stages of Graph Neural Networks (GNNs) are often dominated by the time required to compute a long sequence of matrix multiplications between the sparse graph adjacency matrix and its embedding. To accelerate these…

Data Structures and Algorithms · Computer Science 2024-09-05 João N. F. Alves , Samir Moustafa , Siegfried Benkner , Alexandre P. Francisco , Wilfried N. Gansterer , Luís M. S. Russo

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…

Hardware Architecture · Computer Science 2024-03-21 Weihang Tan , Sin-Wei Chiu , Antian Wang , Yingjie Lao , Keshab K. Parhi

In this paper, we investigate the communication overhead of the Kyber, which has recently been standardized by the National Institute of Standards and Technology (NIST). Given the same decryption failure rate (DFR) and security argument, we…

Cryptography and Security · Computer Science 2024-07-26 Shuiyin Liu , Amin Sakzad
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