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The utilization of finite field multipliers is pervasive in contemporary digital systems, with hardware implementation for bit parallel operation often necessitating millions of logic gates. However, various digital design issues, whether…

信息论 · 计算机科学 2023-07-27 Saeideh Nabipour , Javad Javidan

Finite field multiplier is mainly used in error-correcting codes and signal processing. Finite field multiplier is regarded as the bottleneck arithmetic unit for such applications and it is the most complicated operation over finite field…

信息论 · 计算机科学 2023-09-15 Saeideh Nabipour , Gholamreza Zare Fatin , Javad Javidan

Galois field (GF) arithmetic is used to implement critical arithmetic components in communication and security-related hardware, and verification of such components is of prime importance. Current techniques for formally verifying such…

符号计算 · 计算机科学 2019-01-25 Cunxi Yu , Maciej Ciesielski

The size reduction of transistors in the latest flash memory generation has resulted in programming and data erasure issues within these designs. Consequently, ensuring reliable data storage has become a significant challenge for these…

信息论 · 计算机科学 2023-07-18 Saeideh Nabipour , Javad Javidan

Galois field arithmetic circuits find application in a range of domains including error correction codes, communications, signal processing, and security engineering. This paper aims to elucidate the importance of error detection and…

信息论 · 计算机科学 2023-11-02 Saeideh Nabipour , Masoume Gholizade

As IoT and edge inference proliferate,there is a growing need to simultaneously optimize area and delay in lookup-table (LUT)-based multipliers that implement large numbers of low-bitwidth operations in parallel. This paper proposes a…

硬件体系结构 · 计算机科学 2025-10-27 Misaki Kida , Shimpei Sato

Galois field (GF) arithmetic circuits find numerous applications in communications, signal processing, and security engineering. Formal verification techniques of GF circuits are scarce and limited to circuits with known bit positions of…

符号计算 · 计算机科学 2018-02-21 Cunxi Yu , Maciej Ciesielski

Elliptic curve cryptography (ECC) has emerged as the dominant public-key protocol, with NIST standardizing parameters for binary field GF(2^m) ECC systems. This work presents a hardware implementation of a Hybrid Multiplication technique…

密码学与安全 · 计算机科学 2025-06-25 Ruby Kumari , Gaurav Purohit , Abhijit Karmakar

We present a new approach to fault tolerance for High Performance Computing system. Our approach is based on a careful adaptation of the Algorithmic Based Fault Tolerance technique (Huang and Abraham, 1984) to the need of parallel…

分布式、并行与集群计算 · 计算机科学 2008-06-20 George Bosilca , Remi Delmas , Jack Dongarra , Julien Langou

Ground fault detection in inverter-based microgrid (IBM) systems is challenging, particularly in a real-time setting, as the fault current deviates slightly from the nominal value. This difficulty is reinforced when there are partially…

系统与控制 · 电气工程与系统科学 2024-09-11 Jingwei Dong , Yucheng Liao , Haiwei Xie , Jochen Cremer , Peyman Mohajerin Esfahani

A class of two-bit bit flipping algorithms for decoding low-density parity-check codes over the binary symmetric channel was proposed in [1]. Initial results showed that decoders which employ a group of these algorithms operating in…

信息论 · 计算机科学 2012-05-22 Dung Viet Nguyen , Bane Vasic , Michael W. Marcellin

Whether stemming from malicious intent or natural occurrences, faults and errors can significantly undermine the reliability of any architecture. In response to this challenge, fault detection assumes a pivotal role in ensuring the secure…

密码学与安全 · 计算机科学 2024-02-29 Saeed Aghapour , Kasra Ahmadi , Mehran Mozaffari Kermani , Reza Azarderakhsh

BCH (Bose-Chaudhuri-Hocquenghen) error correcting codes ([1]-[2]) are now widely used in communication systems and digital technology. Direct LFSR(linear feedback shifted register)-based encoding of a long BCH code suffers from serial-in…

硬件体系结构 · 计算机科学 2009-04-22 Hao Chen

Approximate multipliers are widely being advocated for energy-efficient computing in applications that exhibit an inherent tolerance to inaccuracy. However, the inclusion of accuracy as a key design parameter, besides the performance, area…

新兴技术 · 计算机科学 2018-03-20 Mahmoud Masadeh , Osman Hasan , Sofiene Tahar

The rapid updates in error-resilient applications along with their quest for high throughput have motivated designing fast approximate functional units for Field-Programmable Gate Arrays (FPGAs). Studies that proposed imprecise functional…

硬件体系结构 · 计算机科学 2022-06-29 Zahra Ebrahimi , Muhammad Zaid , Mark Wijtvliet , Akash Kumar

Block Floating Point (BFP) arithmetic is currently seeing a resurgence in interest because it requires less power, less chip area, and is less complicated to implement in hardware than standard floating point arithmetic. This paper explores…

数值分析 · 数学 2023-07-04 Nils Kohl , Stephen F. McCormick , Rasmus Tamstorf

This paper presents a design for test (DFT)architecture for fast and scalable testing of array multipliers (MULTs). Regardless of the MULT size, our proposed testable architecture, without major changes in the original architecture,…

硬件体系结构 · 计算机科学 2022-01-31 Fatemeh Sheikh Shoaei , Alireza Nahvy , Zainalabedin Navabi

This paper proposes a quasi-belief propagation decoder for BCH codes that systematically integrates domain knowledge--specifically, channel noise variance, the cyclic property of the codes, and the deliberate redundancy in their…

信息论 · 计算机科学 2026-04-07 Guangwen Li

Flexibility and customization are key strengths of Field-Programmable Gate Arrays (FPGAs) when compared to other computing devices. For instance, FPGAs can efficiently implement arbitrary-precision arithmetic operations, and can perform…

硬件体系结构 · 计算机科学 2025-07-17 Junius Pun , Xilai Dai , Grace Zgheib , Mahesh A. Iyer , Andrew Boutros , Vaughn Betz , Mohamed S. Abdelfattah

Reliability is necessary in safety-critical applications spanning numerous domains. Conventional hardware-based fault tolerance techniques, such as component redundancy, ensure reliability, typically at the expense of significantly…

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