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This paper presents efficient algorithms, designed to leverage SIMD for performing Montgomery reductions and additions on integers larger than 512 bits. The existing algorithms encounter inefficiencies when parallelized using SIMD due to…

Cryptography and Security · Computer Science 2023-09-01 Pengchang Ren , Reiji Suda , Vorapong Suppakitpaisarn

Inspired by the developments in quantum computing, building domain-specific classical hardware to solve computationally hard problems has received increasing attention. Here, by introducing systematic sparsification techniques, we…

In the wake of recent progress on quantum computing hardware, the National Institute of Standards and Technology (NIST) is standardizing cryptographic protocols that are resistant to attacks by quantum adversaries. The primary digital…

Cryptography and Security · Computer Science 2024-03-08 Kelsey A. Jackson , Carl A. Miller , Daochen Wang

This paper presents an approximate signed multiplier architecture that incorporates a sign-focused compressor, specifically designed for edge detection applications in machine learning and signal processing. The multiplier incorporates two…

Hardware Architecture · Computer Science 2025-10-28 L. Hemanth Krishna , Srinivasu Bodapati , Sreehari Veeramachaneni , BhaskaraRao Jammu , Noor Mahammad Sk

Solving semidefinite programs (SDP) in a short time is the key to managing various mathematical optimization problems. The matrix-completion primal-dual interior-point method (MC-PDIPM) extracts a sparse structure of input SDP by…

Optimization and Control · Mathematics 2014-05-27 Makoto Yamashita , Kazuhide Nakata

A practical deep neural network's (DNN) evaluation involves thousands of multiply-and-accumulate (MAC) operations. To extend DNN's superior inference capabilities to energy constrained devices, architectures and circuits that minimize…

Emerging Technologies · Computer Science 2020-08-04 Aditya Shukla

The use of codes defined by sparse characteristic matrices, like QC-LDPC and QC-MDPC codes, has become an established solution to design secure and efficient code-based public-key encryption schemes, as also witnessed by the ongoing NIST…

Cryptography and Security · Computer Science 2022-05-26 Marco Baldi , Franco Chiaraluce , Paolo Santini

We present an implementation of Pagh's compressed matrix multiplication algorithm, a randomized algorithm that constructs sketches of matrices to compute an unbiased estimate of their product. By leveraging fast polynomial multiplication…

Data Structures and Algorithms · Computer Science 2026-01-15 Joel Andersson , Matti Karppa

Computation-in-Memory (CiM) is attracting attention as a technology that can perform MAC calculations required for AI accelerators, at high speed with low power consumption. However, there is a problem regarding power consumption and…

Hardware Architecture · Computer Science 2025-07-21 Fuyuki Kihara , Seiji Uenohara , Satoshi Awamura , Naoko Misawa , Chihiro Matsui , Ken Takeuchi

We present four high performance hybrid sorting methods developed for various parallel platforms: shared memory multiprocessors, distributed multiprocessors, and clusters taking advantage of existence of both shared and distributed memory.…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-03-04 Thoria Alghamdi , Gita Alaghband

Electronic devices primarily aim to offer low power consumption, high speed, and a compact area. The performance of very large-scale integration (VLSI) devices is influenced by arithmetic operations, where multiplication is a crucial…

Hardware Architecture · Computer Science 2025-06-16 Ali Ranjbar , Elham Esmaeili , Roghayeh Rafieisangari , Nabiollah Shiri

A lot of recent progress has been made in ultra low-bit quantization, promising significant improvements in latency, memory footprint and energy consumption on edge devices. Quantization methods such as Learned Step Size Quantization can…

This work presents a practical benchmarking framework for optimizing artificial intelligence (AI) models on ARM Cortex processors (M0+, M4, M7), focusing on energy efficiency, accuracy, and resource utilization in embedded systems. Through…

Artificial Intelligence · Computer Science 2026-02-23 Pranay Jain , Maximilian Kasper , Göran Köber , Oliver Amft , Axel Plinge , Dominik Seuß

A family of low-complexity detection schemes based on channel matrix puncturing targeted for large multiple-input multiple-output (MIMO) systems is proposed. It is well-known that the computational cost of MIMO detection based on QR…

Information Theory · Computer Science 2017-12-07 H. Sarieddeen , M. M. Mansour , A. Chehab

The growing demand for edge-AI systems requires arithmetic units that balance numerical precision, energy efficiency, and compact hardware while supporting diverse formats. Posit arithmetic offers advantages over floating- and fixed-point…

Hardware Architecture · Computer Science 2026-01-27 Sonu Kumar , Lavanya Vinnakota , Mukul Lokhande , Santosh Kumar Vishvakarma , Adam Teman

Public key cryptography protocols, such as RSA and elliptic curve cryptography, will be rendered insecure by Shor's algorithm when large-scale quantum computers are built. Cryptographers are working on quantum-resistant algorithms, and…

Cryptography and Security · Computer Science 2019-10-28 Utsav Banerjee , Tenzin S. Ukyab , Anantha P. Chandrakasan

In-memory database query processing frequently involves substantial data transfers between the CPU and memory, leading to inefficiencies due to Von Neumann bottleneck. Processing-in-Memory (PIM) architectures offer a viable solution to…

The evolution of quantization and mixed-precision techniques has unlocked new possibilities for enhancing the speed and energy efficiency of NNs. Several recent studies indicate that adapting precision levels across different parameters can…

Machine Learning · Computer Science 2025-09-19 Giorgos Armeniakos , Alexis Maras , Sotirios Xydis , Dimitrios Soudris

This paper considers fast algorithms for operations on linearized polynomials. We propose a new multiplication algorithm for skew polynomials (a generalization of linearized polynomials) which has sub-quadratic complexity in the polynomial…

Symbolic Computation · Computer Science 2017-07-12 Sven Puchinger , Antonia Wachter-Zeh

With the ever-increasing computational demand of DNN training workloads, distributed training has been widely adopted. A combination of data, model and pipeline parallelism strategy, called hybrid parallelism distributed training, is…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-06-16 Guandong Lu , Runzhe Chen , Yakai Wang , Yangjie Zhou , Rui Zhang , Zheng Hu , Yanming Miao , Zhifang Cai , Li Li , Jingwen Leng , Minyi Guo