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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

Fragile digital watermarking has been applied for authentication and alteration detection in images. Utilizing the cosine and Hartley transforms over finite fields, a new transform domain fragile watermarking scheme is introduced. A…

Multimedia · Computer Science 2015-02-06 R. J. Cintra , V. S. Dimitrov , H. M. de Oliveira , R. M. Campello de Souza

Fully Homomorphic Encryption (FHE) relies heavily on the Number Theoretic Transform (NTT), making NTT a major performance bottleneck due to its intensive polynomial computations. Hybrid Homomorphic Encryption (HHE), which integrates…

Hardware Architecture · Computer Science 2026-03-03 Hang Gu , Teng Wang , Qianyu Cheng , Jinao Li , Zhendong Zheng , Lei Gong , Wenqi Lou , Xi Li , Xuehai Zhou

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

In this paper, a robust and blind watermarking method is proposed, which is highly resistant to the common image watermarking attacks, such as noises, compression, and image quality enhancement processing. In this method, Arnold Cat map is…

Multimedia · Computer Science 2018-05-01 Seyyed Hossein Soleymani , Amir Hossein Taherinia , Amir Hossein Mohajerzadeh

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

With the increasing use of the internet and the ease of exchange of multimedia content, the protection of ownership rights has become a significant concern. Watermarking is an efficient means for this purpose. In many applications,…

Multimedia · Computer Science 2020-05-13 Mohsen Hajabdolahi , Nader Karimi , Shahram Shirani , Shadrokh Samavi

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

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

Homomorphic encryption (HE) draws huge attention as it provides a way of privacy-preserving computations on encrypted messages. Number Theoretic Transform (NTT), a specialized form of Discrete Fourier Transform (DFT) in the finite field of…

Cryptography and Security · Computer Science 2020-12-04 Sangpyo Kim , Wonkyung Jung , Jaiyoung Park , Jung Ho Ahn

In this paper, we propose a novel digital watermarking scheme in DCT domain based fuzzy inference system and the human visual system to adapt the embedding strength of different blocks. Firstly, the original image is divided into some 8…

Cryptography and Security · Computer Science 2011-01-04 Sameh Oueslati , Adnane Cherif , Bassel Solaiman

An algebraic integer (AI) based time-multiplexed row-parallel architecture and two final-reconstruction step (FRS) algorithms are proposed for the implementation of bivariate AI-encoded 2-D discrete cosine transform (DCT). The architecture…

Hardware Architecture · Computer Science 2015-02-17 A. Madanayake , R. J. Cintra , D. Onen , V. S. Dimitrov , N. T. Rajapaksha , L. T. Bruton , A. Edirisuriya

Due to the current progress in Internet, digital contents (video, audio and images) are widely used. Distribution of multimedia contents is now faster and it allows for easy unauthorized reproduction of information. Digital watermarking…

Cryptography and Security · Computer Science 2019-10-25 Mohamed Hamidi , Mohamed El Haziti , Hocine Cherifi , Driss Aboutajdine

Increasing production and exchange of multimedia content has increased the need for better protection of copyright by means of watermarking. Different methods have been proposed to satisfy the tradeoff between imperceptibility and…

Multimedia · Computer Science 2017-09-12 Majid Mohrekesh , Shekoofeh Azizi , Shahram Shirani , Nader Karimi , Shadrokh Samavi

Content-independent watermarks and block-wise independency can be considered as vulnerabilities in semi-fragile watermarking methods. In this paper to achieve the objectives of semi-fragile watermarking techniques, a method is proposed to…

Computer Vision and Pattern Recognition · Computer Science 2021-06-29 Samira Hosseini , Mojtaba Mahdavi

In this paper, an efficient fragile blind quad watermarking scheme for image tamper detection and recovery based on lifting wavelet transform and genetic algorithm is proposed. TRLG generates four compact digests with super quality based on…

Cryptography and Security · Computer Science 2018-03-09 Behrouz Bolourian Haghighi , Amir Hossein Taherinia , Amir Hossein Mohajerzadeh

The emergence of Deep Neural Networks (DNNs) in mission- and safety-critical applications brings their reliability to the front. High performance demands of DNNs require the use of specialized hardware accelerators. Systolic array…

Hardware Architecture · Computer Science 2025-11-05 Natalia Cherezova , Artur Jutman , Maksim Jenihhin

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…

With the rapid advancement of quantum computing technology, post-quantum cryptography (PQC) has emerged as a pivotal direction for next-generation encryption standards. Among these, lattice-based cryptographic schemes rely heavily on the…

Cryptography and Security · Computer Science 2025-05-14 Hengyu Ding , Houran Ji , Jia Li , Jinhang Chen , Chin-Wing Sham , Yao Wang

Digital contents have grown dramatically in recent years, leading to increased attention to copyright. Image watermarking has been considered one of the most popular methods for copyright protection. With the recent advancements in applying…

Multimedia · Computer Science 2021-05-25 Maedeh Jamali , Nader Karim , Pejman Khadivi , Shahram Shirani , Shadrokh Samavi
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