• Journal of information and communication convergence engineering
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• 제15권3호
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• pp.160-164
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• 2017

Public key cryptography (PKC) is the basic building block for the cryptography applications such as encryption, key distribution, and digital signature scheme. Among many PKC, elliptic curve cryptography (ECC) is the most widely used in IT systems. Recently, very efficient Montgomery-Twisted-Edward (MoTE)-ECC was suggested, which supports low complexity for the finite field arithmetic, group operation, and scalar multiplication. However, we cannot directly adopt the MoTE-ECC to new PKC systems since the cryptography is not fully evaluated in terms of performance on the Internet of Things (IoT) platforms, which only supports very limited computation power, energy, and storage. In this paper, we fully evaluate the MoTE-ECC implementations on the representative IoT devices (16-bit MSP processors). The implementation is highly optimized for the target platform and compared in three different factors (ROM, RAM, and execution time). The work provides good reference results for a gradual transition from legacy ECC to MoTE-ECC on emerging IoT platforms.

• Journal of Information Processing Systems
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• 제13권4호
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• pp.970-986
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• 2017

Certificateless public key cryptography (CL-PKC) is a new benchmark in modern cryptography. It not only simplifies the certificate management problem of PKC, but also avoids the key escrow problem of the identity based cryptosystem (ID-PKC). In this article, we propose a certificateless blind signature protocol which is based on elliptic curve cryptography (CLB-ECC). The scheme is suitable for the wireless communication environment because of smaller parameter size. The proposed scheme is proven to be secure against attacks by two different kinds of adversaries. CLB-ECC is efficient in terms of computation compared to the other existing conventional schemes. CLB-ECC can withstand forgery attack, key only attack, and known message attack. An e-cash framework, which is based on CLB-ECC, has also been proposed. As a result, the proposed CLB-ECC scheme seems to be more effective for applying to real life applications like e-shopping, e-voting, etc., in handheld devices.

• 충청수학회지
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• 제15권2호
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• pp.85-96
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• 2003

An efficient algorithm for the multiplication in a binary finite filed using a normal basis representation of $F_{2^m}$ is discussed and proposed for software implementation of elliptic curve cryptography. The algorithm is developed by using the storage scheme of sparse matrices.

• 한국정보기술학회 영문논문지
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• 제8권2호
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• pp.1-11
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• 2018

Multimedia contents have been increasingly available over the Internet as wireless networks systems are continuously growing popular. Unlimited access from various users has led to unauthorized access of third parties or adversaries. This paper deals with the implementation of elliptic curve cryptography (ECC) based user authentication for securing multimedia contents over the Internet. The ECC technique has been incorporated with the advanced encryption standard (AES) algorithm to ensure the complexity of the proposed authentication scheme and to guarantee authenticity of multimedia services.

• KSII Transactions on Internet and Information Systems (TIIS)
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• 제14권1호
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• pp.344-365
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• 2020

Providing security has been always on priority in all areas of computing and communication, and for the systems that are low on computing power, implementing appropriate and efficient security mechanism has been a continuous challenge for the researchers. Radio Frequency Identification (RFID) system is such an environment, which requires the design and implementation of efficient security mechanism. Earlier, the security protocols for RFID based on hash functions and symmetric key cryptography have been proposed. But, due to high strength and requirement of less key size in elliptic curve cryptography, the focus of researchers has been on designing efficient security protocol for RFID based on elliptic curves. In this paper, an efficient elliptic curve signcryption based security protocol for RFID has been proposed, which provides mutual authentication, confidentiality, non-repudiation, integrity, availability, forward security, anonymity, and scalability. Moreover, the proposed protocol successfully provides resistance from replay attack, impersonation attack, location tracking attack, de-synchronization attack, denial of service attack, man-in-the-middle attack, cloning attack, and key-compromise attack. Results have revealed that the proposed protocol is efficient than the other related protocols as it takes less computational time and storage cost, especially for the tag, making it ideal to be used for RFID systems.

• 한국정보통신학회논문지
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• 제23권12호
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• pp.1609-1617
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• 2019

ECC (Elliptic Curve Cryptography)와 RSA를 기반으로 하는 다양한 공개키 암호 프로토콜 구현을 지원하는 하드웨어 가속기 설계에 관해 기술한다. NIST 표준으로 정의된 소수체 상의 5가지 타원곡선과 3가지 키길이의 RSA를 지원하며 또한, 4가지 타원곡선 점 연산과 6가지 모듈러 연산을 지원하도록 설계되어 ECC와 RSA 기반 다양한 공개키 암호 프로토콜의 하드웨어 구현에 응용될 수 있다. 저면적 구현을 위해 내부 유한체 연산회로는 32 비트의 데이터 패스로 설계되었으며, 워드 기반 몽고메리 곱셈 알고리듬, 타원곡선 점 연산을 위해서는 자코비안 좌표계, 그리고 모듈러 곱의 역원 연산을 위해서는 페르마 소정리를 적용하였다. 설계된 하드웨어 가속기를 FPGA 디바이스에 구현하여 EC-DH 키교환 프로토콜과 RSA 암호·복호 둥작을 구현하여 하드웨어 동작을 검증하였다. 180-nm CMOS 표준 셀 라이브러리로 합성한 결과, 50 MHz 클록 주파수에서 20,800 등가게이트와 28 kbit의 RAM으로 구현되었으며, Virtex-5 FPGA 디바이스에서 1,503 슬라이스와 2개의 BRAM으로 구현되었다.

• 한국정보통신학회:학술대회논문집
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• 한국해양정보통신학회 2004년도 춘계종합학술대회
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• pp.784-787
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• 2004

타원곡선 암호시스템에서의 가장 줄기가 되는 연산은 스칼라 곱셈 연산이다. 본 논문에서는 기존의 두배점-덧셈 (double-and-add) 알고리즘으로 처리하였던 스칼라 곱셈 연산을 개선하여 네배점-덧셈(fund-and-add) 알고리즘을 사용하기 위하여 네배점 (point quadruple) 연산을 유도한다. 유도된 식은 C 프로그램을 사용하여 실제 계산에 응용하여 증명하였다. 네배점 스칼라 연산은 타원곡선 암호시스템의 효율적이고 빠른 연산을 처리하는데 응용될 수 있다.

• 한국정보통신학회논문지
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• 제24권11호
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• pp.1470-1476
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• 2020

모바일 장치와 IoT의 보안 프로토콜 구현에 적합한 경량 보안 SoC 설계에 대해 기술한다. Cortex-M0을 CPU로 사용하는 보안 SoC에는 타원곡선 암호 (elliptic curve cryptography) 코어, SHA3 해시 코어, ARIA-AES 블록 암호 코어 및 무작위 난수 생성기 (TRNG) 코어 등의 하드웨어 크립토 엔진들이 내장되어 있다. 핵심 연산장치인 ECC 코어는 SEC2에 정의된 20개의 소수체와 이진체 타원곡선을 지원하며, 부분곱 생성 및 가산 연산과 모듈러 축약 연산이 서브 파이프라인 방식으로 동작하는 워드 기반 몽고메리 곱셈기를 기반으로 설계되었다. 보안 SoC를 Cyclone-5 FPGA 디바이스에 구현하고 타원곡선 디지털 서명 프로토콜의 H/W-S/W 통합 검증을 하였다. 65-nm CMOS 셀 라이브러리로 합성된 보안 SoC는 193,312 등가 게이트와 84 kbyte의 메모리로 구현되었다.

• KSII Transactions on Internet and Information Systems (TIIS)
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• 제13권2호
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• pp.978-1002
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• 2019

With the rapid development of the Internet of Things, the problem of privacy protection has been paid great attention. Recently, Nikooghadam et al. pointed out that Kumari et al.'s protocol can neither resist off-line guessing attack nor preserve user anonymity. Moreover, the authors also proposed an authentication supportive session initial protocol, claiming to resist various vulnerability attacks. Unfortunately, this paper proves that the authentication protocols of Kumari et al. and Nikooghadam et al. have neither the ability to preserve perfect forward secrecy nor the ability to resist key-compromise impersonation attack. In order to remedy such flaws in their protocols, we design a lightweight authentication protocol using elliptic curve cryptography. By way of informal security analysis, it is shown that the proposed protocol can both resist a variety of attacks and provide more security. Afterward, it is also proved that the protocol is resistant against active and passive attacks under Dolev-Yao model by means of Burrows-Abadi-Needham logic (BAN-Logic), and fulfills mutual authentication using Automated Validation of Internet Security Protocols and Applications (AVISPA) software. Subsequently, we compare the protocol with the related scheme in terms of computational complexity and security. The comparative analytics witness that the proposed protocol is more suitable for practical application scenarios.

• 한국정보통신학회:학술대회논문집
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• 한국해양정보통신학회 2009년도 춘계학술대회
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• pp.686-689
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• 2009

본 논문에서는 타원곡선 암호를 위한 스칼라 곱셈기의 설계에 대해 기술한다. 설계된 스칼라 곱셈기는 스마트카드 표준에 기술된 163-비트의 키 길이를 가진다. 유한체 $GF(2^{163})$ 상에서 스칼라 곱셈의 연산량을 줄이기 위해 complementary recoding 방식을 적용한 Non-Adjacent-Format(NAF) 변환 알고리듬을 적용하여 설계하였다. 설계된 스칼라 곱셈기 코어는 $0.35-{\mu}m$ CMOS 셀 라이브러리로 합성하여 32,768 게이트로 구현되었으며, 150-MHz@3.3-V로 동작한다. 설계된 스칼라 승산기는 스마트카드용 타원곡선 암호 하드웨어 구현을 위한 IP로 사용될 수 있다.