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  • Feature Paper
  • Article
  • Open Access
2,241 Views
22 Pages

9 September 2025

Homomorphic encryption solutions tend to be costly in terms of memory and computational resources, making them difficult to implement. In this paper, we present Kyber AHE, a lightweight additive homomorphic encryption scheme for computing the additio...

(This article belongs to the Special Issue Advanced Research on Information System Security and Privacy, 2nd Edition)
  • Article
  • Open Access
23 Citations
9,426 Views
10 Pages

Area-Time Efficient Hardware Architecture for CRYSTALS-Kyber

  • Tuy Tan Nguyen,
  • Sungjae Kim,
  • Yongjun Eom and
  • Hanho Lee

24 May 2022

This paper presents a novel area-time efficient hardware architecture of the lattice-based CRYSTALS-Kyber, which has entered the third round of the post-quantum cryptography standardization competition hosted by the National Institute of Standards an...

(This article belongs to the Special Issue Recent Advances in Cybersecurity and Computer Networks)
  • Article
  • Open Access
20 Citations
16,641 Views
13 Pages

Significant advancements have been achieved in the field of quantum computing in recent years. If somebody ever creates a sufficiently strong quantum computer, many of the public-key cryptosystems in use today might be compromised. Kyber is a post-qu...

  • Article
  • Open Access
7 Citations
6,105 Views
11 Pages

In modern society, the Internet is one of the most used means of communication. Thus, secure information transfer is inevitably of major importance. Computers nowadays use encryption methods based on arithmetic operations to turn messages into cipher...

(This article belongs to the Section Hardware Security)
  • Article
  • Open Access
1 Citations
2,653 Views
10 Pages

An Efficient and Low-Cost Design of Modular Reduction for CRYSTALS-Kyber

  • Zhengwu Huang,
  • Sizhe Chen,
  • Pengyue Sun,
  • Ding Deng and
  • Guangfu Sun

After being selected as a standard for Post-Quantum Cryptography Key Encapsulation Mechanisms by NIST, CRYSTALS-Kyber has driven the transformation of the information security field toward new standards. In CRYSTALS-Kyber, modular reduction is crucia...

(This article belongs to the Section Computer Science & Engineering)
  • Article
  • Open Access
545 Views
22 Pages

A Configurable and Highly Efficient NTT/INTT/PWM Unit for CRYSTALS-Kyber and CRYSTALS-Dilithium

  • Yuchen Wang,
  • Xiaoke Wang,
  • Chaoxing You,
  • Shuang Xia,
  • Kainan Ma and
  • Ming Liu

CRYSTALS-Kyber and CRYSTALS-Dilithium are representative lattice-based post-quantum cryptographic schemes, where number theoretic transform (NTT), inverse NTT (INTT), and point-wise multiplication (PWM) dominate polynomial arithmetic. Existing hardwa...

(This article belongs to the Special Issue Feature Papers in Circuit and Signal Processing, 2nd Edition)
  • Article
  • Open Access
3 Citations
2,193 Views
28 Pages

Crystals-Kyber and Classic-McEliece are two prominent post-quantum key encapsulation mechanisms (KEMs) designed to address the challenges posed by quantum computing to classical cryptographic schemes. While the former has been standardized by the Nat...

  • Article
  • Open Access
6 Citations
5,305 Views
16 Pages

NTT and Inverse NTT Quantum Circuits in CRYSTALS-Kyber for Post-Quantum Security Evaluation

  • Gyeongju Song,
  • Kyungbae Jang,
  • Siwoo Eum,
  • Minjoo Sim and
  • Hwajeong Seo

16 September 2023

The emergence of quantum computers threatens current cryptographic systems, and NIST is preparing for the post-quantum era through the post-quantum cryptography (PQC) contest. CRYSTALS-Kyber is a lattice-based cipher suite that is used as a PQC stand...

(This article belongs to the Special Issue Advanced Technologies in Data and Information Security III)
  • Article
  • Open Access
5 Citations
2,102 Views
36 Pages

13 November 2025

This paper proposes a post-quantum secure key agreement protocol tailored for vehicular networks (V2X), addressing the dual challenges of quantum resistance and lightweight deployment. The hybrid scheme integrates two lattice-based Key Encapsulation...

(This article belongs to the Section Vehicular Sensing)
  • Article
  • Open Access
4 Citations
4,191 Views
17 Pages

High-Throughput Post-Quantum Cryptographic System: CRYSTALS-Kyber with Computational Scheduling and Architecture Optimization

  • Shih-Hsiang Chou,
  • Yu-Hua Yang,
  • Wen-Long Chin,
  • Ci Chen,
  • Cheng-Yu Tsao and
  • Pin-Luen Tung

With the development of a quantum computer in the near future, classical public-key cryptography will face the challenge of being vulnerable to quantum algorithms, such as Shor’s algorithm. As communication technology advances rapidly, a great...

(This article belongs to the Section Networks)
  • Article
  • Open Access
27 Citations
6,093 Views
13 Pages

Post-Quantum KEMs for IoT: A Study of Kyber and NTRU

  • M. Awais Ehsan,
  • Walaa Alayed,
  • Amad Ur Rehman,
  • Waqar ul Hassan and
  • Ahmed Zeeshan

5 June 2025

Current improvements in quantum computing present a substantial challenge to classical cryptographic systems, which typically rely on problems that can be solved in polynomial time using quantum algorithms. Consequently, post-quantum cryptography (PQ...

(This article belongs to the Special Issue Symmetry in Applied Continuous Mechanics, 2nd Edition)
  • Article
  • Open Access
4 Citations
5,091 Views
20 Pages

Comparative Deep Learning-Based Side-Channel Analysis of an FPGA-Based CRYSTALS-Kyber NTT Accelerator

  • Munkhbaatar Chinbat,
  • Liji Wu,
  • Xiangmin Zhang,
  • Yifan Yang and
  • Man Wei

Deep learning-based side-channel analysis is one of the most effective techniques for extracting and classifying sensitive information from a target device. This paper demonstrates the best-performing deep learning model for the target implementation...

  • Article
  • Open Access
801 Views
25 Pages

18 June 2026

The imminent threat of large-scale quantum computers motivates the deployment of post-quantum cryptography (PQC). CRYSTALS-Kyber, a leading lattice-based Key Encapsulation Mechanism, relies heavily on Number Theoretic Transform (NTT) operations, whic...

(This article belongs to the Section Computing and Artificial Intelligence)
  • Article
  • Open Access
3 Citations
2,585 Views
27 Pages

Traditional cryptographic systems face critical vulnerabilities posed by the rapid advancement of quantum computing, particularly concerning key exchange mechanisms and the quality of entropy sources for random number generation. To address these cha...

(This article belongs to the Section Computer Science & Engineering)
  • Article
  • Open Access
8 Citations
5,028 Views
20 Pages

19 July 2025

5G addresses user privacy concerns in cellular networking by encrypting a subscriber identifier with elliptic-curve-based encryption and then transmitting it as ciphertext known as a Subscriber Concealed Identifier (SUCI). However, an adversary equip...

(This article belongs to the Special Issue Public Key Cryptography and Privacy Protection)
  • Article
  • Open Access
10 Citations
6,068 Views
23 Pages

Compiled Constructions towards Post-Quantum Group Key Exchange: A Design from Kyber

  • José Ignacio Escribano Pablos,
  • María Isabel González Vasco,
  • Misael Enrique Marriaga and
  • Ángel Luis Pérez del Pozo

21 October 2020

A group authenticated key exchange (GAKE) protocol allows a set of parties belonging to a certain designated group to agree upon a common secret key through an insecure communication network. In the last few years, many new cryptographic tools have b...

(This article belongs to the Special Issue Mathematics Cryptography and Information Security)
  • Article
  • Open Access
5 Citations
5,536 Views
18 Pages

CRYSTALS-Kyber has been standardized as a general public-key post-quantum algorithm under the name of ML-KEM after NIST released its first three final post-quantum standards in August 2024. The resilience of post-quantum cryptography to side-channel...

  • Article
  • Open Access
1 Citations
1,043 Views
18 Pages

The NIST standardisation process for Post-Quantum Cryptography (PQC) has nominated the CRYSTALS-Kyber Key-Encapsulation Mechanism (KEM) scheme as the primary key establishment method. The algorithm was renamed as the Module-Lattice-Based Key-Encapsul...

  • Article
  • Open Access
8 Citations
4,674 Views
16 Pages

The Number Theoretic Transform (NTT) is a cornerstone for efficient polynomial multiplication, which is fundamental to lattice-based cryptographic algorithms such as CRYSTALS-Kyber—a leading candidate in post-quantum cryptography (PQC). However...

  • Article
  • Open Access
32 Citations
6,638 Views
26 Pages

30 July 2024

Unmanned aerial vehicles (UAVs) play a critical role in various fields, including logistics, agriculture, and rescue operations. Effective identity authentication and key agreement schemes are vital for UAV networks to combat threats. Current schemes...

(This article belongs to the Special Issue Physical-Layer Security in Drone Communications)
  • Article
  • Open Access
2 Citations
1,016 Views
26 Pages

A Kyber-Based Lightweight Cloud-Assisted Authentication Scheme for Medical IoT

  • He Yan,
  • Zhenyu Wang,
  • Liuming Lin,
  • Jing Sun and
  • Shuanggen Liu

24 March 2026

The Medical Internet of Things (MIoT) has promoted smart healthcare through the deep integration of wearable devices, wireless communication, and cloud services. However, this framework faces security risks, as attackers may exploit public channels t...

(This article belongs to the Special Issue Cyber Security and Privacy in Internet of Things (IoT))
  • Article
  • Open Access
8 Citations
3,891 Views
18 Pages

A Pipelined Hardware Design of FNTT and INTT of CRYSTALS-Kyber PQC Algorithm

  • Muhammad Rashid,
  • Omar S. Sonbul,
  • Sajjad Shaukat Jamal,
  • Amar Y. Jaffar and
  • Azamat Kakhorov

31 December 2024

Lattice-based post-quantum cryptography (PQC) algorithms demand number theoretic transform (NTT)-based polynomial multiplications. NTT-based polynomials’ multiplication relies on the computation of forward number theoretic transform (FNTT) and...

(This article belongs to the Special Issue Feature Papers in Information in 2024–2025)
  • Article
  • Open Access
2 Citations
2,677 Views
13 Pages

28 October 2025

Post-quantum threshold cryptography requires complete elimination of classical assumptions to achieve genuine quantum resistance. This work presents a fully lattice-based dealerless distributed key generation (DKG) protocol with threshold CRYSTALS&nd...

(This article belongs to the Special Issue Recent Advances in Post-Quantum Cryptography)
  • Article
  • Open Access
12 Citations
5,540 Views
15 Pages

Compact and Low-Latency FPGA-Based Number Theoretic Transform Architecture for CRYSTALS Kyber Postquantum Cryptography Scheme

  • Binh Kieu-Do-Nguyen,
  • Nguyen The Binh,
  • Cuong Pham-Quoc,
  • Huynh Phuc Nghi,
  • Ngoc-Thinh Tran,
  • Trong-Thuc Hoang and
  • Cong-Kha Pham

11 July 2024

In the modern era of the Internet of Things (IoT), especially with the rapid development of quantum computers, the implementation of postquantum cryptography algorithms in numerous terminals allows them to defend against potential future quantum atta...

(This article belongs to the Section Information Systems)
  • Feature Paper
  • Review
  • Open Access
7 Citations
5,404 Views
13 Pages

This paper presents a review of module ring learning with errors-based (MLWE-based) public-key encryption and key-establishment algorithms. In particular, we introduce the preliminaries of public key cryptography, MLWE-based algorithms, and arithmeti...

(This article belongs to the Special Issue 10th Anniversary of Electronics: Recent Advances in Computer Science & Engineering)
  • Feature Paper
  • Article
  • Open Access
3 Citations
3,083 Views
14 Pages

Flexible and Compact MLWE-Based KEM

  • Wenqi Liang,
  • Zhaoman Liu,
  • Xuyang Zhao,
  • Yafang Yang and
  • Zhichuang Liang

6 June 2024

In order to resist the security risks caused by quantum computing, post-quantum cryptography (PQC) has been a research focus. Constructing a key encapsulation mechanism (KEM) based on lattices is one of the promising PQC routines. The algebraically s...

(This article belongs to the Special Issue New Advances in Cryptographic Theory and Application)
  • Proceeding Paper
  • Open Access
1 Citations
2,773 Views
7 Pages

As medical technology develops and digital demands grow, personal health records (PHRs) are becoming more patient-centered than before based on cloud-based health information exchanges. While enhancing data accessibility and sharing, these systems pr...

(This article belongs to the Proceedings of The 8th Eurasian Conference on Educational Innovation 2025)
  • Article
  • Open Access
23 Citations
7,726 Views
17 Pages

The Number Theoretic Transform (NTT) has been widely used to speed up polynomial multiplication in lattice-based post-quantum algorithms. All NTT operands use modular arithmetic, especially modular multiplication, which significantly influences NTT h...

(This article belongs to the Special Issue Feature Papers in Hardware Security II)
  • Systematic Review
  • Open Access
21 Citations
4,765 Views
16 Pages

2 December 2025

The rapid advancement of quantum computing poses significant threats to classical cryptographic methods, such as Rivest–Shamir–Adleman (RSA) and Elliptic Curve Cryptography (ECC), which currently secure Internet of Things (IoT) and cloud...

  • Article
  • Open Access
1 Citations
1,966 Views
38 Pages

The advent of quantum computing poses significant challenges to traditional cryptographic systems, threatening the confidentiality, integrity and authenticity of digital communications. This paper investigates the integration of post-quantum cryptogr...

(This article belongs to the Special Issue New Technologies for Cybersecurity)
  • Article
  • Open Access
1,783 Views
45 Pages

8 June 2026

The rapid advancement of quantum computing poses a fundamental threat to classical public-key cryptographic systems, necessitating the transition to post-quantum cryptography (PQC). While significant progress has been made in the standardization of q...

(This article belongs to the Special Issue Quantum Communication and Applications)
  • Article
  • Open Access
5 Citations
1,895 Views
23 Pages

Deeply Pipelined NTT Accelerator with Ping-Pong Memory and LUT-Only Barrett Reduction for Post-Quantum Cryptography

  • Omar S. Sonbul,
  • Muhammad Rashid,
  • Muhammad I. Masud,
  • Mohammed Aman and
  • Amar Y. Jaffar

Lattice-based post-quantum cryptography relies on fast polynomial multiplication. The Number-Theoretic Transform (NTT) is the key operation that enables this acceleration. To provide high throughput and low latency while keeping the area overhead sma...

(This article belongs to the Section Computer Science & Engineering)
  • Article
  • Open Access
4 Citations
2,954 Views
22 Pages

Benchmarking Post-Quantum Signatures and KEMs on General-Purpose CPUs Using a TCP Client–Server Testbed

  • Jesus Algar-Fernandez,
  • Andrea Villacís-Vanegas,
  • Ysabel Amaro-Aular and
  • Maria-Dolores Cano

9 February 2026

Quantum computing threatens widely deployed public-key cryptosystems, accelerating the adoption of Post-Quantum Cryptography (PQC) in practical systems. Beyond asymptotic security, the feasibility of PQC deployments depends on measured performance on...

  • Article
  • Open Access
19 Citations
13,258 Views
33 Pages

A Mathematical Perspective on Post-Quantum Cryptography

  • Maximilian Richter,
  • Magdalena Bertram,
  • Jasper Seidensticker and
  • Alexander Tschache

25 July 2022

In 2016, the National Institute of Standards and Technology (NIST) announced an open competition with the goal of finding and standardizing suitable algorithms for quantum-resistant cryptography. This study presents a detailed, mathematically oriente...

(This article belongs to the Special Issue Mathematics Cryptography and Information Security 2021)
  • Review
  • Open Access
84 Citations
15,951 Views
26 Pages

Post-Quantum Security: Opportunities and Challenges

  • Silong Li,
  • Yuxiang Chen,
  • Lin Chen,
  • Jing Liao,
  • Chanchan Kuang,
  • Kuanching Li,
  • Wei Liang and
  • Naixue Xiong

26 October 2023

Cryptography is very essential in our daily life, not only for confidentiality of information, but also for information integrity verification, non-repudiation, authentication, and other aspects. In modern society, cryptography is widely used; everyt...

(This article belongs to the Section Communications)
  • Article
  • Open Access
1 Citations
1,081 Views
23 Pages

DPS: A Post-Quantum Proxy Signature Scheme from Dilithium for IoT Applications

  • Yuteng Wang,
  • Ruoyu Ding,
  • Tianrun Yu,
  • Zhen Han,
  • Jian Weng and
  • Jiasi Weng

Proxy signatures enable the secure delegation of signing authority, which is particularly useful in resource-constrained Internet of Things (IoT) environments. However, most existing schemes rely on classical hardness assumptions and therefore cannot...

(This article belongs to the Special Issue Advances in Post-Quantum Cryptography)
  • Article
  • Open Access
37 Citations
7,239 Views
25 Pages

This research aims to establish a secure system for key exchange by using post-quantum cryptography (PQC) schemes in the classic channel of quantum key distribution (QKD). Modern cryptography faces significant threats from quantum computers, which ca...

(This article belongs to the Section ICT Infrastructures for Cybersecurity)
  • Article
  • Open Access
2 Citations
2,042 Views
19 Pages

4 August 2025

The advent of quantum computing poses an existential threat to the security of cloud services that handle sensitive visual data. Simultaneously, the need for computational privacy requires the ability to process data without exposing it to the cloud...

(This article belongs to the Section Evolutionary Algorithms and Machine Learning)
  • Article
  • Open Access
2 Citations
880 Views
21 Pages

24 April 2026

In emerging environments such as cloud computing and the Internet of Things (IoT), secure authentication and key negotiation play a crucial role in protecting data transmitted over public networks. However, many existing authentication protocols are...

(This article belongs to the Special Issue Quantum Information Security)
  • Article
  • Open Access
8 Citations
6,952 Views
22 Pages

Wireless and Fiber-Based Post-Quantum-Cryptography-Secured IPsec Tunnel

  • Daniel Christian Lawo,
  • Rana Abu Bakar,
  • Abraham Cano Aguilera,
  • Filippo Cugini,
  • José Luis Imaña,
  • Idelfonso Tafur Monroy and
  • Juan Jose Vegas Olmos

21 August 2024

In the near future, commercially accessible quantum computers are anticipated to revolutionize the world as we know it. These advanced machines are predicted to render traditional cryptographic security measures, deeply ingrained in contemporary comm...

(This article belongs to the Special Issue Edge Intelligence: Edge Computing for 5G and the Internet of Things)
  • Article
  • Open Access
971 Views
20 Pages

Machine Learning Enhanced Quantum-Safe Encryption: A Novel Optimisation Framework

  • Rizwan Ahmad,
  • Md Akbar Hossain,
  • Tajrian Mollick and
  • Saifur Rahman Sabuj

20 May 2026

The standardisation of post-quantum cryptography (PQC) by NIST marks a critical transition away from classical public-key schemes towards quantum-resistant successors. As machine learning (ML) applications proliferate, the demand for efficient crypto...

(This article belongs to the Special Issue Secure IoT: Cryptographic Solutions for Sensor Networks)
  • Article
  • Open Access
817 Views
31 Pages

AERO-GUARD: A Post-Quantum Mutual Authentication Drone Protocol with Homomorphic Encryption for Secure Road Surveillance in Smart Cities

  • Albandari Alsumayt,
  • Arwa Almalki,
  • Reema Almassary,
  • Hotoon Alghamdi,
  • Reemas Alqahtani,
  • Ryouf Alzuabie,
  • Reham Alharthi and
  • Naya Nagy

4 August 2026

This paper presents AERO-GUARD, a formally verified drone authentication and road surveillance system that integrates Kyber post-quantum key encapsulation, physical unclonable functions (PUFs), decentralized IPFS-based identity storage, and blockchai...

(This article belongs to the Special Issue AI-Driven Security, Privacy, and Trust for the Internet of Things)
  • Article
  • Open Access
3 Citations
1,732 Views
39 Pages

A Post-Quantum Secure Architecture for 6G-Enabled Smart Hospitals: A Multi-Layered Cryptographic Framework

  • Poojitha Devaraj,
  • Syed Abrar Chaman Basha,
  • Nithesh Nair Panarkuzhiyil Santhosh and
  • Niharika Panda

20 March 2026

Future 6G-enabled smart hospital infrastructures will support latency-critical medical operations such as robotic surgery, autonomous monitoring, and real-time clinical decision systems, which require communication mechanisms that ensure both ultra-l...

(This article belongs to the Special Issue Key Enabling Technologies for Beyond 5G Networks—2nd Edition)
  • Article
  • Open Access
71 Citations
18,568 Views
27 Pages

A Practical Performance Benchmark of Post-Quantum Cryptography Across Heterogeneous Computing Environments

  • Maryam Abbasi,
  • Filipe Cardoso,
  • Paulo Váz,
  • José Silva and
  • Pedro Martins

The emergence of large-scale quantum computing presents an imminent threat to contemporary public-key cryptosystems, with quantum algorithms such as Shor’s algorithm capable of efficiently breaking RSA and elliptic curve cryptography (ECC). Thi...

  • Correction
  • Open Access
1,493 Views
3 Pages

9 January 2025

There was an error in the authorship of the original publication [...]

(This article belongs to the Special Issue Physical-Layer Security in Drone Communications)
  • Article
  • Open Access
9 Citations
5,688 Views
16 Pages

Using Variational Quantum Algorithm to Solve the LWE Problem

  • Lihui Lv,
  • Bao Yan,
  • Hong Wang,
  • Zhi Ma,
  • Yangyang Fei,
  • Xiangdong Meng and
  • Qianheng Duan

8 October 2022

The variational quantum algorithm (VQA) is a hybrid classical–quantum algorithm. It can actually run in an intermediate-scale quantum device where the number of available qubits is too limited to perform quantum error correction, so it is one o...

(This article belongs to the Special Issue Advances in Quantum Computing)
  • Article
  • Open Access
28 Citations
7,454 Views
22 Pages

An Applied Analysis of Securing 5G/6G Core Networks with Post-Quantum Key Encapsulation Methods

  • Paul Scalise,
  • Robert Garcia,
  • Matthew Boeding,
  • Michael Hempel and
  • Hamid Sharif

30 October 2024

Fifth Generation (5G) cellular networks have been adopted worldwide since the rollout began around 2019. It brought with it many innovations and new services, such as Enhanced Mobile Broadband (eMBB), Ultra Reliable and Low-Latency Communications (UR...

(This article belongs to the Special Issue Security and Privacy for Modern Wireless Communication Systems, 2nd Edition)
  • Article
  • Open Access
5 Citations
4,394 Views
23 Pages

23 August 2024

This study introduces a hardware accelerator to support various Post-Quantum Cryptosystem (PQC) schemes, addressing the quantum computing threat to cryptographic security. PQCs, while more secure, also bring significant computational demands, which a...

(This article belongs to the Special Issue Recent Advances in Information Security and Data Privacy)
  • Article
  • Open Access
484 Views
36 Pages

31 August 2026

The expected arrival of cryptographically relevant quantum computers requires Internet of Things (IoT) communication infrastructure to migrate to Post-Quantum Cryptography (PQC). However, it remains unclear how this migration affects protocol-level p...

(This article belongs to the Special Issue Convergence of IoT and Edge Computing: Advances in Security and Performance Optimization)
  • Article
  • Open Access
2 Citations
2,261 Views
18 Pages

10 February 2026

Migrating to Post-Quantum Cryptography (PQC) is critical for securing resource-constrained Internet of Things (IoT) devices against the “harvest-now, decrypt-later” threat. While ML-KEM (CRYSTALS-Kyber) has been standardized under FIPS 20...

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