• Journal of the Korea Institute of Information Security & Cryptology
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• v.15 no.3
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• pp.65-76
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• 2005

Speeding up scalar multiplication of an elliptic curve point has been a prime approach to efficient implementation of elliptic curve schemes such as EC-DSA and EC-ElGamal. Koblitz introduced a $base-{\phi}$ expansion method using the Frobenius map. Kobayashi et al. extended the $base-{\phi}$ scalar multiplication method to suit Optimal Extension Fields(OEF) by introducing the table reference method. In this paper we propose an efficient scalar multiplication algorithm on elliptic curve over OEF. The proposed $base-{\phi}$ scalar multiplication method uses an optimized batch technique after rearranging the computation sequence of $base-{\phi}$ expansion usually called Horner's rule. The simulation results show that the new method accelerates the scalar multiplication about $20\%{\sim}40\%$ over the Kobayashi et al. method and is about three times as fast as some conventional scalar multiplication methods.

• Proceedings of the Korean Information Science Society Conference
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• 2001.10a
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• pp.604-606
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• 2001

타원 곡선이 정의되는 유한체외 연산 중 곱셈에 대한 역원을 빠르게 구하는 것은 타원 곡선 암호시스템의 성능 향상에 있어 중요한 요소이다. 본 논문에서는 이진체 $F_{2m}$ 상에서 다항식 기저를 사용하는 경우 곱셈에 대한 역원을 빠르게 구하는 알고리즘을 제시한다. 이 알고리즘은 기약 다항식으로부터 미리 계산 가능한 테이블을 만들어 테이블 참조 방식으로 속도 향상을 꾀한다. 이 방법을 사용할 경우 이전에 알려진 가장 빠른 방법보다 10~20% 정도 성능 향상이 있다.다.

• Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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• v.9 no.2
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• pp.852-855
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• 2005

This paper introduces a case study of designing a cryptographic processor dedicated to VPN/SSL system. The designed processor supports not only block cipher algorithm, including 3DES, AES, and SEED, but also 163 bit ECC public key crypto algorithm. Moreover, we adopted PCI Master interface in the design, which guarantees fast computation of cryptographic algorithm prevalent in general information security systems.

• Journal of the Korea Institute of Information and Communication Engineering
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• v.15 no.11
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• pp.2374-2380
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• 2011

Many people is preferred to mVoIP which offers call telephone-quality and convenient UI as well as free of charge. On the other hand, security of mVoIP is becoming an issue as it using Internet network may have danger about wiretapping. Although traditionally encryption algorithm of symmetric key for security of voice data has been used, ECC algorithm of public key type has been preferring for encryption because it is stronger in part the strength of encryption than others. However, the existing way is restricted by lots of operations in poor mobile environment. Thus this paper proposes the efficiency of resource consumption way by reducing cryptographic operations.

• Journal of the Korea Institute of Information Security & Cryptology
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• v.11 no.6
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• pp.3-14
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• 2001

CRLs are the most common way to handle certificate revocation. But, They have several problems. Since the validity period of certificates is long and the number of users it immense, CRLs can grow extremely long. Therefore, a great amount of data needs to be transmitted. Moreover, CRLs cannot provide immediate revocation. In this paper, we propose a new certificate revocation mechanism using mECC and Weil pairing in elliptic curve crypto-system. Our certificate revocation mechanism simplifies the process of certificate revocation and provides the immediate revocation.

• Journal of Internet Computing and Services
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• v.8 no.1
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• pp.79-85
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• 2007

As the use of the computer and networks generalized, the various tasks which are requested secrets can be processed such os the banking transaction. And because of increasing of data exchange, Internet, and mobile networks, the method which is not connected only but also used with many users has been changed. Especially because of the structural problem of the Internet, a lot of information is leaked out when we use the Internet banking. If we check the Internet banking by using an existing cypher method which is either simple of slow, a credit card number, an account number or password will be leaked out. Because the security of information doesn't meet our expectation, we need more powerful cryptography. But, the wasted space-time which is required shouldn,t be ignored when the whole transferred data are encrypted. So, by using both the Elliptic Curve algorithm which is based on mobile networks and the partial encryption of the DTD of XML in this essay, we will implement more faster cypher method of the partial XML.

• Annual Conference of KIPS
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• 2012.11a
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• pp.961-964
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• 2012

NFC(Near Field Communication)는 10cm 이내의 거리에서 무선기기 간의 통신을 가능케 해주는 기술로 13.56 Mhz RF(Radio Frequency) 주파수 대역을 이용한 비접촉식 근거리 무선통신의 한 종류이다. 올해 출시되는 대부분의 스마트 폰에서 NFC 기능을 탑재하며, NFC기반의 모바일 결제 서비스가 가장 유망한 결제 방식으로 주목 받고 있다. 소비자는 NFC 모바일 단말기를 가지고 판매자의 POS(Point of Sale) 단말기와 근접 통신을 통해 결제를 진행하는 방식으로 다른 무선 통신 방식 (RFID, Bluetooth 등)보다 보안 취약성이 높지 않지만, 기존의 RFID 환경에서 일어날 수 있는 기술적 취약점과 비슷한 유형의 위협이 충분히 발생할 수 있으므로 유효한 보안 기술이 필요하다. 본 논문은 안전한 NFC 모바일 결제 환경을 구축하기 위한 공개키 알고리즘인 타원곡선 암호ECC(Elliptic Curve Cryptosystem)를 적용한 Bilinear Pairing을 활용해서 효율적이고 보안성도 강력한 인증 메커니즘을 제안한다.

• KIPS Transactions on Computer and Communication Systems
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• v.2 no.12
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• pp.517-524
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• 2013

Although password-based authentication as known as knowledge-based authentication was commonly used but intrinsic problems such as dictionary attack remain unsolved. For that the study on possession-based authentication was required. User remote authentication using smartcard is proceeding actively since Lee et al. proposed user remote authentication using knowledge-based information(password) and possession-base information(smartcard) in 2002. in 2009, Xu et al. proposed a new protocol preserving user anonymity and Shin et al. proposed enhanced scheme with analysis of its vulnerabilities on user anonymity and masquerading attack in 2012. In this paper, we analyze Shin et al. scheme on forward secrecy and insider attack and present novel user authentication based on elliptic curve cryptosystem which is secure against forward secrecy, insider attack, user anonymity and masquerading attack.

• Journal of the Institute of Electronics Engineers of Korea SD
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• v.43 no.3 s.345
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• pp.40-47
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• 2006

The finite-field multiplication can be applied to the elliptic curve cryptosystems. However, an efficient algorithm and the hardware design are required since the finite-field multiplication takes much time to compute. In this paper, we propose a radix-4 systolic multiplier on $GF(2^m)$ with comparative area and performance. The algorithm of the proposed standard-basis multiplier is mathematically developed to map on low-cost systolic cells, so that the proposed systolic architecture is suitable for VLSI design. Compared to the bit-parallel, bit-serial and systolic multipliers, the proposed multiplier has relatively effective high performance and low cost. We design and synthesis $GF(2^{193})$ finite-field multiplier using Hynix $0.35{\mu}m$ standard cell library and the maximum clock frequency is 400MHz.

• Journal of KIISE:Computer Systems and Theory
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• v.32 no.3
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• pp.125-132
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• 2005

Wireless access always has to include the authentication of communication partners and the encryption of communication data in order to use secure M-Commerce services. However, wireless systems have limitations compared with the wired systems, so we need an efficient authentication and key exchange protocol considering these limitations. In this paper, we propose an efficient authentication and key exchange protocol for M-Commerce users using elliptic curve crypto systems. The proposed protocol reduces the computational load of mobile users because the wireless service provider accomplishes some parts of computations instead of the mobile user, and it uses the password-based authentication in wireless links. Also, it guarantees the anonymity of the mobile user not to reveal directly the real identity of the user to the M-Commerce host, and preserves the confidentiality of communication data between the M-Commerce host and the user not to know the contents of communication between them to others including the wireless service provider.