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Post-Quantum Cryptographic (PQC) algorithms are mathematically secure and resistant to quantum attacks but can still leak sensitive information in hardware implementations due to natural faults or intentional fault injections. The intent…

Cryptography and Security · Computer Science 2025-08-06 Rourab Paul , Paresh Baidya , Krishnendu Guha

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…

Cryptography and Security · Computer Science 2026-01-27 Mohammed Nabeel , Mahmoud Hafez , Michail Maniatakos

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

Hardware Trojans have drawn the attention of academia, industry and government agencies. Effective detection mechanisms and countermeasures against such malicious designs can only be developed when there is a deep understanding of how…

Cryptography and Security · Computer Science 2019-10-03 Samaneh Ghandali , Thorben Moos , Amir Moradi , Christof Paar

The Number Theoretic Transform (NTT) can be regarded as a variant of the Discrete Fourier Transform. NTT has been quite a powerful mathematical tool in developing Post-Quantum Cryptography and Homomorphic Encryption. The Fourier Transform…

Cryptography and Security · Computer Science 2025-09-09 Banhirup Sengupta , Peenal Gupta , Souvik Sengupta

Fault-tolerant routing (FTR) in Networks-on-Chip (NoCs) has become a common practice to sustain the performance of multi-core systems with an increasing number of faults on a chip. On the other hand, usage of third-party intellectual…

Hardware Architecture · Computer Science 2019-08-02 N Prasad , Navonil Chatterjee , Santanu Chattopadhyay , Indrajit Chakrabarti

The use of third-party IP cores in implementing applications in FPGAs has given rise to the threat of malicious alterations through the insertion of hardware Trojans. To address this threat, it is important to predict the way hardware…

Hardware Architecture · Computer Science 2020-04-06 Ash Luft , Mihai Sima , Michael McGuire

This research explores the use of superconductor electronics (SCE) for accelerating fully homomorphic encryption (FHE), focusing on the Number-Theoretic Transform (NTT), a key computational bottleneck in FHE schemes. We present SCE-NTT, a…

Neural Networks (NN) have recently emerged as backbone of several sensitive applications like automobile, medical image, security, etc. NNs inherently offer Partial Fault Tolerance (PFT) in their architecture; however, the biased PFT of NNs…

Machine Learning · Computer Science 2019-02-14 Manaar Alam , Arnab Bag , Debapriya Basu Roy , Dirmanto Jap , Jakub Breier , Shivam Bhasin , Debdeep Mukhopadhyay

Neuromorphic computing based on spiking neural networks (SNNs) is emerging as a promising alternative to traditional artificial neural networks (ANNs), offering unique advantages in terms of low power consumption. However, the security…

Neural and Evolutionary Computing · Computer Science 2025-03-31 Spyridon Raptis , Paul Kling , Ioannis Kaskampas , Ihsen Alouani , Haralampos-G. Stratigopoulos

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

Adams Bridge, a hardware accelerator for ML-DSA and ML-KEM designed for the Caliptra root of trust, masks 1 of its Inverse Number Theoretic Transform (INTT) layers and relies on shuffling for the remainder, claiming per-butterfly…

Cryptography and Security · Computer Science 2026-04-21 Ray Iskander , Khaled Kirah

Lattice-based cryptography (LBC) exploiting Learning with Errors (LWE) problems is a promising candidate for post-quantum cryptography. Number theoretic transform (NTT) is the latency- and energy- dominant process in the computation of LWE…

Cryptography and Security · Computer Science 2022-02-18 Dai Li , Akhil Pakala , Kaiyuan Yang

The globalization of the Integrated Circuit (IC) supply chain, driven by time-to-market and cost considerations, has made ICs vulnerable to hardware Trojans (HTs). Against this threat, a promising approach is to use Machine Learning…

Cryptography and Security · Computer Science 2024-01-05 Behnam Omidi , Khaled N. Khasawneh , Ihsen Alouani

Multimedia contents are inherently sensitive signals that must be protected whenever they are outsourced to an untrusted environment. This problem becomes a challenge when the untrusted environment must perform some processing on the…

Cryptography and Security · Computer Science 2018-01-30 Alberto Pedrouzo-Ulloa , Juan Ramón Troncoso-Pastoriza , Fernando Pérez-González

The rise of hardware-level security threats, such as side-channel attacks, hardware Trojans, and firmware vulnerabilities, demands advanced detection mechanisms that are more intelligent and adaptive. Traditional methods often fall short in…

Cryptography and Security · Computer Science 2025-05-29 Banafsheh Saber Latibari , Najmeh Nazari , Avesta Sasan , Houman Homayoun , Pratik Satam , Soheil Salehi , Hossein Sayadi

Mathematically-secure cryptographic algorithms leak significant side channel information through their power supplies when implemented on a physical platform. These side channel leakages can be exploited by an attacker to extract the secret…

Cryptography and Security · Computer Science 2020-03-18 Archisman Ghosh , Debayan Das , Shreyas Sen

There are increasing concerns about possible malicious modifications of integrated circuits (ICs) used in critical applications. Such attacks are often referred to as hardware Trojans. While many techniques focus on hardware Trojan…

Hardware Architecture · Computer Science 2016-11-18 Tony F. Wu , Karthik Ganesan , Yunqing Alexander Hu , H. -S. Philip Wong , Simon Wong , Subhasish Mitra

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,…

Hardware Architecture · Computer Science 2025-07-18 George Alexakis , Dimitrios Schoinianakis , Giorgos Dimitrakopoulos
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