arXiv subjects

Abel C. H. Chen

Publications and source records attributed to Abel C. H. Chen.

At least 37 records · Page 2Linked to original sources

arXiv2025

An Efficient Key Expansion Method Applied to Security Credential Management System

In recent years, U.S. Department of Transportation has adopts Institute of Electrical and Electronics Engineers (IEEE) 1609 series to build the security credential management system (SCMS) for being the standard of connected cars in U.S. Furthermore, a butterfly key expansion (BKE) method in SCMS has been designed to provide pseudonym certificates for improving the privacy of connected cars. However, the BKE method is designed based on elliptic curve cryptography (ECC) in the standard of IEEE 1609.2.1, but more execution time is required for key expansion. Therefore, this study proposes an original efficient key expansion method, and the mathematical principles have been proposed to prove the encryption/decryption feasibility, car privacy, and method efficiency. In a practical environment, the proposed method improves the efficiency of key expansion method in IEEE 1609.2.1-2022 with the same security strength thousands of times.

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arXiv2024

Homomorphic Encryption Based on Lattice Post-Quantum Cryptography

As quantum computing technology continues to advance, post-quantum cryptographic methods capable of resisting quantum attacks have emerged as a critical area of focus. Given the potential vulnerability of existing homomorphic encryption methods, such as RSA, ElGamal, and Paillier, to quantum computing attacks, this study proposes a lattice-based post-quantum homomorphic encryption scheme. The approach leverages lattice cryptography to build resilience against quantum threats while enabling practical homomorphic encryption applications. This research provides mathematical proofs and computational examples, alongside a security analysis of the lattice-based post-quantum homomorphic encryption scheme. The findings are intended to serve as a reference for developers of homomorphic encryption applications, such as federated learning systems.

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arXiv2024

One-Time Signature Based on Pseudorandom Number Generator

With the advancement of quantum computing technologies, recent years have seen increasing efforts to identify cryptographic methods resistant to quantum attacks and to establish post-quantum cryptography (PQC) approaches. Among these, hash-based digital signature algorithms (DSAs) are a notable category of PQC. Hash functions are not only utilized in digital signatures but are also widely applied in pseudorandom number generators (PRNGs). Building on the foundation of hash-based DSAs, this study proposes a modified approach that introduces a DSA based on PRNGs, suitable for one-time signature (OTS) applications. The study explores the security of the proposed PRNG-based OTS algorithm and validates its feasibility through experiments comparing various parameter configurations. These experiments examine key length, signature length, key generation time, signature generation time, and signature verification time under different parameter settings.

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arXiv2024

Performance Comparison of Security Credential Management Systems for V2X: North American Standard IEEE 1609.2.1 and European Standard ETSI TS 102 941

This study examines the performance and structural differences between the two primary standards for Security Credential Management Systems (SCMS) in Vehicular-to-Everything (V2X) communication: the North American IEEE standards and the European ETSI standards. It focuses on comparing their respective Public Key Infrastructure (PKI) architectures, certificate application workflows, and the formats of request/response messages used during certificate applications. The research includes a theoretical analysis of message length and security features inherent in each standard. Additionally, practical implementations of both systems are conducted to evaluate their efficiency in certificate management processes. Based on the findings, the study provides recommendations to guide future development of SCMS.

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arXiv2024

EQNN: Enhanced Quantum Neural Network

With the maturation of quantum computing technology, research has gradually shifted towards exploring its applications. Alongside the rise of artificial intelligence, various machine learning methods have been developed into quantum circuits and algorithms. Among them, Quantum Neural Networks (QNNs) can map inputs to quantum circuits through Feature Maps (FMs) and adjust parameter values via variational models, making them applicable in regression and classification tasks. However, designing a FM that is suitable for a given application problem is a significant challenge. In light of this, this study proposes an Enhanced Quantum Neural Network (EQNN), which includes an Enhanced Feature Map (EFM) designed in this research. This EFM effectively maps input variables to a value range more suitable for quantum computing, serving as the input to the variational model to improve accuracy. In the experimental environment, this study uses mobile data usage prediction as a case study, recommending appropriate rate plans based on users' mobile data usage. The proposed EQNN is compared with current mainstream QNNs, and experimental results show that the EQNN achieves higher accuracy with fewer quantum logic gates and converges to the optimal solution faster under different optimization algorithms.

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arXiv2024

Key Expansion Based on Internet X.509 Public Key Infrastructure for Anonymous Voting

This document focuses on developing a key expansion method based on the internet X.509 public key infrastructure and elliptic curve cryptography, which is applied in the context of anonymous voting. The method enables end entities to maintain anonymity from other end entities, the registration authority, and the certificate authority, while still allowing the validity of end entity certificates to be verified, thereby facilitating anonymous voting services.

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arXiv2024

Post-Quantum Cryptography Anonymous Scheme -- PQCWC: Post-Quantum Cryptography Winternitz-Chen

As quantum computing technology matures, it poses a threat to the security of mainstream asymmetric cryptographic methods. In response, the National Institute of Standards and Technology released the final version of post-quantum cryptographic (PQC) algorithm standards in August 2024. These post-quantum cryptographic algorithms are primarily based on lattice-based and hash-based cryptography. Therefore, this study proposes the Post-Quantum Cryptography Winternitz-Chen (PQCWC) anonymous scheme, aimed at exploring the design of anonymous schemes based on PQC for future applications in privacy protection. The anonymous scheme designed in this study is mainly built on the Winternitz signature scheme, which can prevent the original public key from being exposed in the certificate. Furthermore, the PQCWC anonymous scheme integrates the butterfly key expansion mechanism, proposing the first hash-based butterfly key expansion mechanism in the world, achieving anonymity for both the registration authority and the certificate authority, thereby fully protecting privacy. In the experimental environment, this study compares various hash algorithms, including Secure Hash Algorithm-1 (SHA-1), the SHA-2 series, the SHA-3 series, and the BLAKE series. The results demonstrate that the proposed anonymous scheme can achieve anonymity without increasing key length, signature length, key generation time, signature generation time, or signature verification time.

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arXiv2024

Evaluation of Hash Algorithm Performance for Cryptocurrency Exchanges Based on Blockchain System

The blockchain system has emerged as one of the focal points of research in recent years, particularly in applications and services such as cryptocurrencies and smart contracts. In this context, the hash value serves as a crucial element in linking blocks within the blockchain, ensuring the integrity of block contents. Therefore, hash algorithms represent a vital security technology for ensuring the integrity and security of blockchain systems. This study primarily focuses on analyzing the security and execution efficiency of mainstream hash algorithms in the Proof of Work (PoW) calculations within blockchain systems. It proposes an evaluation factor and conducts comparative experiments to evaluate each hash algorithm. The experimental results indicate that there are no significant differences in the security aspects among SHA-2, SHA-3, and BLAKE2. However, SHA-2 and BLAKE2 demonstrate shorter computation times, indicating higher efficiency in execution.

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arXiv2024

X.509 Information Security Certification Based on Post-Quantum Cryptography

In recent years, with the advancement of quantum computing, mainstream asymmetric cryptographic methods in the current Public Key Infrastructure (PKI) systems are gradually being threatened. Therefore, this study explores X.509 security certificates based on Post-Quantum Cryptography (PQC) and discusses implemented solutions. This study compares mainstream asymmetric cryptographic methods (including RSA and Elliptic Curve Digital Signature Algorithm (ECDSA)) with standard PQC methods (including Falcon, Dilithium, SPHINCS+), comparing the efficiency of certificate generation, signature generation, and signature verification. Finally, recommendations for a solution based on PQC for X.509 security certificates are proposed.

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arXiv2024

A Study on the Situation of Connected Car Patent Portfolios

In recent years, the countries of the world have drafted the specifications of connected cars; for instance, the Security Credential Management System (SCMS) has been proposed by United States Department of Transportation (USDOT), and the Cooperative Intelligent Transportation System (C-ITS) Credential Management System (CCMS) has been proposed by European Union (EU). Therefore, several companies have developed the technology and productions of connected cars based on specifications, and connected car patent portfolios have been proactively performed. Therefore, this study uses Patent Search System (PSS) to find and analyze the contents of patents for obtaining the innovation reports of connected cars according to patents. This study considers the single-factor and two-factors to analyze the relationships of annuals, major technology leaders, major market leaders, and major technology and applications for exploring the patent portfolios of technology leaders and market leaders in connected cars.

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arXiv2024

Performance Comparison of Various Modes of Advanced Encryption Standard

With the maturation of quantum computing technology, many cryptographic methods are gradually facing threats from quantum computing. Although the Grover algorithm can accelerate search speeds, current research indicates that the Advanced Encryption Standard (AES) method can still enhance security by increasing the length of the secret key. However, the AES method involves multiple modes in implementation, and not all modes are secure. Therefore, this study proposes a normalized Gini impurity (NGI) to verify the security of each mode, using encrypted images as a case study for empirical analysis. Furthermore, this study primarily compares the Electronic Codebook (ECB) mode, Cipher Block Chaining (CBC) mode, Counter (CTR) mode, Counter with CBC-Message Authentication Code (MAC) (CCM) mode, and Galois Counter Mode (GCM).

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arXiv2024

Post-Quantum Cryptography Neural Network

In recent years, quantum computers and Shor quantum algorithm have posed a threat to current mainstream asymmetric cryptography methods (e.g. RSA and Elliptic Curve Cryptography (ECC)). Therefore, it is necessary to construct a Post-Quantum Cryptography (PQC) method to resist quantum computing attacks. Therefore, this study proposes a PQC-based neural network that maps a code-based PQC method to a neural network structure and enhances the security of ciphertexts with non-linear activation functions, random perturbation of ciphertexts, and uniform distribution of ciphertexts. In practical experiments, this study uses cellular network signals as a case study to demonstrate that encryption and decryption can be performed by the proposed PQC-based neural network with the uniform distribution of ciphertexts. In the future, the proposed PQC-based neural network could be applied to various applications.

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arXiv2024

Homomorphic Encryption Based on Post-Quantum Cryptography

With the development of Shor's algorithm, some nondeterministic polynomial (NP) time problems (e.g. prime factorization problems and discrete logarithm problems) may be solved in polynomial time. In recent years, although some homomorphic encryption algorithms have been proposed based on prime factorization problems, the algorithms may be cracked by quantum computing attacks. Therefore, this study proposes a post-quantum cryptography (PQC)-based homomorphic encryption method which includes the homomorphic encryption function based on a code-based cryptography method for avoiding quantum computing attacks. Subsection 3.2 proposes mathematical models to prove the feasibility of the proposed method, and Subsection 3.3 gives calculation examples to present the detailed steps of the proposed method. In experimental environments, the mainstream cryptography methods (i.e. RSA cryptography and elliptic curve cryptography (ECC)) have been compared, and the results show that the encryption time and decryption time of the proposed method are shorter than other cryptography methods. Furthermore, the proposed method is designed based on a non-negative matrix factorization problem (i.e. a NP problem) for resisting quantum computing attacks.

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arXiv2024

The Security Performance Analysis of Blockchain System Based on Post-Quantum Cryptography -- A Case Study of Cryptocurrency Exchanges

The current blockchain system for cryptocurrency exchanges primarily employs elliptic curve cryptography (ECC) for generating key pairs in wallets, and elliptic curve digital signature algorithms (ECDSA) for generating signatures in transactions. Consequently, with the maturation of quantum computing technology, the current blockchain system faces the risk of quantum computing attacks. Quantum computers may potentially counterfeit signatures produced by ECDSA. Therefore, this study analyzes the vulnerabilities of the current blockchain system to quantum computing attacks and proposes a post-quantum cryptography (PQC)-based blockchain system to enhance security by addressing and improving each identified weakness. Furthermore, this study proposes PQC-based wallets and PQC-based transactions, utilizing PQC digital signature algorithms to generate PQC-based signatures for the inputs in PQC-based transactions, thereby preventing signatures from being counterfeited by quantum computing. Experimental results demonstrate that the efficiency of the Dilithium algorithm, a PQC digital signature algorithm, in producing wallets, generating signatures, and verifying signatures surpasses that of ECDSA in the current blockchain system. Furthermore, the Dilithium algorithm also exhibits a higher security level.

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arXiv2024

PQCMC: Post-Quantum Cryptography McEliece-Chen Implicit Certificate Scheme

In recent years, the elliptic curve Qu-Vanstone (ECQV) implicit certificate scheme has found application in security credential management systems (SCMS) and secure vehicle-to-everything (V2X) communication to issue pseudonymous certificates. However, the vulnerability of elliptic-curve cryptography (ECC) to polynomial-time attacks posed by quantum computing raises concerns. In order to enhance resistance against quantum computing threats, various post-quantum cryptography methods have been adopted as standard (e.g. Dilithium) or candidate standard methods (e.g. McEliece cryptography), but state of the art has proven to be challenging to implement implicit certificates using lattice-based cryptography methods. Therefore, this study proposes a post-quantum cryptography McEliece-Chen (PQCMC) based on an efficient random invertible matrix generation method to issue pseudonymous certificates with less computation time. The study provides mathematical models to validate the key expansion process for implicit certificates. Furthermore, comprehensive security evaluations and discussions are conducted to demonstrate that distinct implicit certificates can be linked to the same end entity. In experiments, a comparison is conducted between the certificate length and computation time to evaluate the performance of the proposed PQCMC. This study demonstrates the viability of the implicit certificate scheme based on PQC as a means of countering quantum computing threats.

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arXiv2023

Evaluation and Analysis of Standard Security Technology in V2X Communication -- Exploring ECQV Implicit Certificate Cracking

In IEEE 1609.2 and IEEE 1609.2.1 standards for Vehicle-to-everything (V2X) secure communication, various security algorithms based on Elliptic Curve Cryptography (ECC) have been adopted and designed. To enhance the efficiency of the Security Credential Management System (SCMS), this study evaluates the computational time for key generation, key expansion, signature generation, and signature verification under different security strengths. This study discusses relevant techniques based on Elliptic Curve Qu-Vanstone (ECQV) implicit certificates, analyzes the length of uncompressed elliptic curve points, compressed elliptic curve points, explicit certificates, and implicit certificates. Furthermore, this study proposes mathematical models to demonstrate the probability of ECQV cracking and provides suggestions for mitigating ECQV cracking risks.

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arXiv2023

Performance Analysis of Security Certificate Management System in Vehicle-to-Everything (V2X)

In Vehicle-to-Everything (V2X) communications, providing accurate information and safeguarding the privacy of end entities is one of the crucial information security issues. Therefore, several international standardization organizations have begun to develop V2X communication security standards in recent years. For instance, the IEEE 1609.2.1 standard designs a Security Credential Management System (SCMS) that specifies certificate application and issuance processes, as well as certificate revocation processes. Furthermore, the IEEE 1609.2 standard defines certificate formats and Secure Protocol Data Units (SPDUs) for secure data transmission based on these standards. As a result, end entity manufacturers and SCMS providers worldwide have started building V2X security systems in accordance with these standards and conducting interoperability testing. Although international standards mainly employ Elliptic-Curve Cryptography (ECC) for signature/verification and encryption/decryption functions, performance analysis remains a crucial issue for the practical deployment of these systems. Therefore, this study implements end entities and a SCMS conforming to IEEE 1609.2 and IEEE 1609.2.1 standards. It measures the computation and transmission times for each security communication action within the system from the perspective of end entities and identifies potential system bottlenecks. In the experimental results, this study analyzes the most performance-intensive actions and provides relevant suggestions for enhancing system efficiency for SCMS developers to reference.

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arXiv2023

The Pseudonymous Certificates for Healthcare Systems

This study mainly modifies the butterfly key expansion (BKE) mechanism and applies it to the healthcare system. The system mainly includes a Root Certificate Authority (RCA), an Enrollment Certificate Authority (ECA), a Pseudonym Certificate Authority (PCA), a Registration Authority (RA), and End Entities (EEs)(i.e. user devices). Certificates can be issued by the RCA to the ECA, PCA, and RA to make them legal entities in the system. The ECA then issues device certificates (similar to identification cards for devices) to the EEs (e.g. blood pressure monitors). When patients use EEs to measure physiological information, the RA verifies that the EE is legal based on the issued multiple pseudonym certificates by the PCA. The EE then uses the pseudonym certificates to send physiological information to the RA, ensuring data integrity and non-repudiation, while also preventing identity information from being stolen. To verify the pseudonymous certificate-based healthcare system proposed in this study, the security of the system was verified using the security strengths defined by the National Institute of Standards and Technology (NIST) in the United States. Furthermore, as the BKE mechanism is primarily based on Elliptic Curve Cryptography (ECC), this study also verified the efficiency under different security strengths. Furthermore, under 256 of security strength, the mean computation time of key expansion is between 24186.584 microseconds and 57894.552 microseconds, so more than 18 public keys could be generated in one second.

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