• The Journal of the Korea Contents Association
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• v.20 no.1
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• pp.356-363
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• 2020

As a becoming era of Internet-of-Things, various devices are connected via wire or wirless networks. Although every day life is more convenient, security problems are also increasing such as privacy, information leak, denial of services. Since ECC, a kind of public key cryptosystem, has a smaller key size compared to RSA, it is widely used for environmentally constrained devices. The key of ECC in constrained devices can be exposed to power analysis attacks during scalar multiplication operation. In this paper, a key-randomization method is suggested for scalar multiplication on SECG parameters. It is against differential power analysis and has operational efficiency. In order to increase of operational efficiency, the proposed method uses the property 2^lP=∓cP where the constant c is small compared to the order n of SECG parameters and n=2^l±c. The number of operation for the Coron's key-randomization scalar multiplication algorithm is 21, but the number of operation for the proposed method in this paper is (3/2)l. It has efficiency about 25% compared to the Coron's method using full random numbers.

• Proceedings of the IEEK Conference
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• 2004.06b
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• pp.529-532
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• 2004

The ECC(Elliptic Curve Cryptogrphics), one of the representative Public Key encryption algorithms, is used in Digital Signature, Encryption, Decryption and Key exchange etc. The key operation of an Elliptic curve cryptosystem is a scalar multiplication, hence the design of a scalar multiplier is the core of this paper. Although an Integer operation is computed in infinite field, the scalar multiplication is computed in finite field through adding points on Elliptic curve. In this paper, we implemented scalar multiplier in Elliptic curve based on the finite field GF($2^{163}$). And we verified it on the Embedded digital system using Xilinx FPGA connected to an EISC MCU. If my design is made as a chip, the performance of scalar multiplier applied to Samsung $0.35 {\mu}m$ Phantom Cell Library is expected to process at the rate of 8kbps and satisfy to make up an encryption processor for the Embedded digital doorphone.

• Proceedings of the Korea Information Processing Society Conference
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• 2005.05a
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• pp.1071-1074
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• 2005

The ECC(Elliptic Curve Cryptogrphics), one of the representative Public Key encryption algorithms, is used in Digital Signature, Encryption, Decryption and Key exchange etc. The key operation of an Elliptic curve cryptosystem is a scalar multiplication, hence the design of a scalar multiplier is the core of this paper. Although an Integer operation is computed in infinite field, the scalar multiplication is computed in finite field through adding points on Elliptic curve. In this paper, we implemented scalar multiplier in Elliptic curve based on the finite field $GF(2^{163})$. And we verified it on the Embedded digital system using Xilinx FPGA connected to an EISC MCU(Agent 2000). If my design is made as a chip, the performance of scalar multiplier applied to Samsung $0.35\;{\mu}m$ Phantom Cell Library is expected to process at the rate of 8kbps and satisfy to make up an encryption processor for the Embedded digital information home system.

• The Journal of Korean Institute of Communications and Information Sciences
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• v.16 no.7
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• pp.575-597
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• 1991

As an elegant solution of the key management scheme for a conventional cryptosystem. Diffie and Hellman introduced a public key distrbution system, whose security depends on the intractabliity of discrete loganthm problem over a finite field, and since then a lot of vartants of DH KDSS have been proposed. In this paper, we present the systematic approach to analyzing the security of a generalized DH KDS and designing an efficient and secure scheme. We classify vanous attacking methods and point out a possible way to avoid these attacks through the examples of successful attacking methods and point out a possible way to avoid these attacks through the examples of successful attack against those systems proposed so far or designed for this purpose. As security analysis tools, we present the redueiblity test, the information theoretic approach, and the protocol analysis technique, which we apply to variations of DH scheme to examine their security under all possble attacks.

• Journal of the Korea Institute of Information Security & Cryptology
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• v.13 no.3
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• pp.111-117
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• 2003

The XTR public key system has advantage of short key length and fast computing speed. So, the XTR is used usefully in complicated operation. In this paper, we propose a new algorithm of double exponentiation operation and a proxy signature protocol based on the XTR. The double exponentiation operation should be executed to apply XTR for the proxy signature protocol. But this algorithm is inappropriate, because two secret key has to be blown in existent operation algorithm. New algorithm enable double exponentiation operation with proxy signer's secret key and public information. And the XTR is used to generation and verification of proxy at proxy signature protocol. Therefore proxy signature based on the XTR has basic advantage of the XTR. These advantage can be used in internet as well as mobile.

• Journal of the Korea Institute of Information Security & Cryptology
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• v.19 no.2
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• pp.11-21
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• 2009

The NTRU cryptosystem proposed by Hoffstein et al. in 1990s is a public key cryptosystem based on hard lattice problems. NTRU has many advantages compared to other public key cryptosystems such as RSA and elliptic curve cryptosystems. For example, it guarantees high speed encryption and decryption with the same level of security, and there is no known quantum computing algorithm for speeding up attacks against NTRD. In this paper, we analyze the security of NTRU against the simple power analysis (SPA) attack and the statistical power analysis (STPA) attack such as the correlation power analysis (CPA) attack First, we implement NTRU operations using NesC on a Telos mote, and we show how to apply CPA to recover a private key from collected power traces. We also suggest countermeasures against these attacks. In order to prevent SPA, we propose to use a nonzero value to initialize the array which will store the result of a convolution operation. On the other hand, in order to prevent STPA, we propose two techniques to randomize power traces related to the same input. The first one is random ordering of the computation sequences in a convolution operation and the other is data randomization in convolution operation.

• IEMEK Journal of Embedded Systems and Applications
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• v.7 no.2
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• pp.79-84
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• 2012

Efficient arithmetic design is essential to implement error correcting codes and cryptographic applications over finite fields. This article presents an efficient $AB^2$ multiplier in GF($2^m$) using a polynomial representation. The proposed multiplier produces the result in m clock cycles with a propagation delay of two AND gates and two XOR gates using O($2^m$) area-time complexity. The proposed multiplier is highly modular, and consists of regular blocks of AND and XOR logic gates. Especially, exponentiation, inversion, and division are more efficiently implemented by applying $AB^2$ multiplication repeatedly rather than AB multiplication. As compared to related works, the proposed multiplier has lower area-time complexity, computational delay, and execution time and is well suited to VLSI implementation.

• Proceedings of the Korea Information Processing Society Conference
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• 2001.10b
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• pp.1041-1044
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• 2001

신뢰할 수 없는 네트워크를 통한 패스워드 기반의 원거리 사용자 인증은 패스워드의 선택범위와 길이가 사용자의 기억력에 제한되는 낮은 안전성 때문에 오프라인 사전공격에 취약하다. 본 논문은 이산 대수 문제 해결의 어려움에 기반한 Diffie-Hellman 키 교환과 블록암호화 알고리듬 및 MAC을 이용하여 패스워드 기반 인증 및 키 협상 프로토콜을 제안한다. 제안된 프로토콜은 오프라인 사전공격을 예방할 수 있으며, 세션키와 패스워드 검증정보가 독립적이므로 공격자에게 패스워드가 노출되더라도 이전 세션의 복호화에 영향을 미치지 않는 전향적 보안성을 제공한다. 또한 세션키의 노출이 패스워드에 대한 정보를 노출시키지 않으며, 암호화 횟수와 메시지 크기를 최소화 하여 효율성을 극대화 하였다. 따라서 웹을 통한 홈뱅킹이나, 모바일 환경이 요구되는 셀룰러 폰에서의 사용자 인증처럼 제3의 신뢰 기관을 이용하지 않는 단순 직접 인증에 적합하다.

• Proceedings of the Korean Information Science Society Conference
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• 2007.06d
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• pp.1-6
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• 2007

무선 인터넷 통신은 유선 인터넷 통신보다 더욱 정보 노출이 쉬운 상태여서 강도 높은 보안 솔루션이 요구된다. 본 논문에서는 무선 인터넷의 암호 시스템을 위해, 키 길이가 짧아 처리 속도가 빠른 타원 곡선 알고리즘을 사용한 신뢰된 파티가 없는 쓰레시홀드 암호시스템을 제안한다. 따라서 제안한 시스템은 타원 곡선 알고리즘 사용으로 휴대 단말기 용량 한계에 부딪혔던 WPKI(Wireless Public Key Infrastructure) 서비스를 개선할 수 있으며, 신뢰된 파티를 보장할 수 없는 무선 인터넷 통신에서 안전한 그룹 통신을 할 수 있게 된다. 또한 제안한 시스템은 다양한 타원 곡선을 활용할 수 있는 타원 곡선 암호시스템 장점으로 다양한 암호시스템 설계가 가능하다는 것이 증명되었다.

• ETRI Journal
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• v.29 no.6
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• pp.769-778
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• 2007

This paper proposes a multiplication algorithm for $F_{p^m}$, which can be efficiently applied to many pairs of characteristic p and extension degree m except for the case that 8p divides m(p-1). It uses a special class of type- Gauss period normal bases. This algorithm has several advantages: it is easily parallelized; Frobenius mapping is easily carried out since its basis is a normal basis; its calculation cost is clearly given; and it is sufficiently practical and useful when parameters k and m are small.