• Journal of the Korea Institute of Information Security & Cryptology
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• v.9 no.4
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• pp.23-36
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• 1999

As the blind signature(10) does not reveal any information about the message or its signature it has been used for preventing the information leakage and for providing the anonymity in secure electronic payment systems. Unfortunately this perfect anonymity could be misused by criminals as blind signatures prevent linking the withdrawal of money nd the payment made 표 the same customer. Therefore we should provide publicly verifiable mechanism if it is required for the judge to trace the blackmailed messages. In this paper we propose a modified blind signature scheme which additionally provides the role of message recovery after analyzing the existing meta-ELGamal scheme(12) suggested by Horster. And we suggest a new fair blind multi-signature scheme based on the oblivious transfer protocol with which a judge can publicly verify its fairness and correctness if needed. Proposed scheme can also applicable to the diverse electronic payment applications.

• Proceedings of the Korea Institutes of Information Security and Cryptology Conference
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• 1994.11a
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• pp.166-179
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• 1994

Diffie-Hellman 의 공개 키 암호 프로토콜이 제안된 이후 이산 대수 문제의 어려움이 프로토콜의 안전도와 깊이 연관되었다. 유한체를 이용한 암호 기법을 ElGamal 이 세웠으나, Index-Calculus 알고리듬에 의해 유한체위 에서 이산 대수 문제가 subexponential 알고리듬이되 어 ElGamal 기법의 안전도가 약해졌다. Nonsupersingular타원 곡선을 선택하여 유한체대신 ElGamal 암호 기법에 적용하면 안전한 암호 시스템을 설계할 수 있다. 이 논문에서는 콤퓨터 구현시 용이한 nonsupersingular 타원 곡선을 선택하는 방법, 유한체위에서의 연산, 평문을 타원 곡선의 원소로 임베드(Imbedding) 하는 방법 등 타원 곡선을 암호시스템에 적응하기 어려운 점들에 대한 해결 방법을 소개하고, 실제로 콤퓨터로 구현하여 그 실행 결과와 ElGamal 기법을 개선한 Schnorr 기법을 실행한 결과를 밝혔다.

• Journal of the Korea Society of Computer and Information
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• v.29 no.8
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• pp.103-112
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• 2024

This study was initiated with the aim of authenticating that inputs have not been tampered with without disclosing them in the case of computations where multiple inputs are entered by participants using the same key. In general, in the authentication stage, authentication is performed after the input value is disclosed, but we do not want to reveal the inputs until the end. This is a case of deviating from the traditional security model in which malicious participants exist in cryptography, but it is a malicious attack method that can actually occur enough. Privacy infringement or distortion of calculation results can occur due to malicious manipulation of input values. To prevent this, this study studied a method that can authenticate that the message is not a modified message without disclosing the message using the signature system, zero-knowledge proof, and commitment scheme. In particular, by modifying the ElGamal signature system and combining it with the commitment scheme and zero-knowledge proof, we designed and proved a verification protocol that the input data is not a modified data, and the efficiency was improved by applying batch verification between authentication.

• The Journal of the Korea Contents Association
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• v.5 no.3
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• pp.83-91
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• 2005

The digital signature can be verified and disavowed only with cooperation of the signer in 'undeniable signature scheme. A signed confidential document of a company can be copied and delivered to a rival company. If a conventional signature scheme is used to sign the document, it can be confirmed as authentic by verifying the signature without the signer's cooperation. However, if the company doesn't want the document to be verified as authentic by the rival company, it is recommended to use the undeniable signature scheme. Convertible undeniable signature scheme has additional property that the signer can convert undeniable signature to the ordinary one. The document signed by undeniable signature scheme that is no longer confidential can be opened to public use by converting the signature to the ordinary one. In this study, the efficient multipurpose convertible undeniable signature scheme based on El-Gamal signature scheme is proposed. The proposed scheme satisfies undeniable property and can convert undeniable signature to the ordinary one. The number of public keys and signatures are less than those of Boyar's convertible signature scheme. It also reduces the number of communication steps of the signature confirmation protocol.

• The Transactions of the Korea Information Processing Society
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• v.6 no.3
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• pp.664-671
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• 1999

Itakura and Nakamura proposed the first multisignature scheme based on RSA signature scheme. But if many users sign on one paper, then their scheme has a reblocking problem. In 1991, Ohta and Okamoto proposed a multisignature scheme by using Fiat-Shamir signature scheme. But in this scheme, the group of signers must generate common random number in the first round, and in the second round, they sign the message with common random number. Also L.Harn proposed a multsignature scheme which is based on the ElGamal's. In korea, S.D.Kim et al. at ICEIC'95 conference, proposed an efficient sequential multisignature scheme by using the modified Park-Won scheme. This scheme is not require an additional round to generate common random number, and has fixed signature length. In this paper, we analyze problem of Kim's multisignature scheme, and propose a new multisignature scheme based on ${\gamma}$\ulcorner residuosity problem.

• Journal of the Korea Institute of Information Security & Cryptology
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• v.14 no.2
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• pp.15-22
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• 2004

For an ElGamal-type signature scheme using a generate g of order q, it has been well-known that the message nonce should be chosen randomly in the interval (0, q-1) for each message to be signed. In (2), H. Kuwakado and H. Tanaka proposed a polynomial time algorithm that gives the private key of the signer if two signatures with message nonces 0＜$k_1$, $k_2$$\leq$Ο(equation omitted) are available. Recently, R. Gallant, R. Lambert, and S. Vanstone suggested a method to improve the efficiency of elliptic curve crytosystem using integer decomposition. In this paper, by applying the integer decomposition method to the algorithm proposed by Kuwakado and Tanaka, we extend the algorithm to work in the case when ｜$k_1$ ｜,｜$k_2$, ｜$\leq$Ο(equation mitted) and improve the efficiency and completeness of the algorithm.

• Journal of the Korea Academia-Industrial cooperation Society
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• v.12 no.12
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• pp.5895-5901
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• 2011

This paper shows that a scheme provided by An[7] is not enough to satisfy security requirements for a user certification using a password-based smart card. In order to compensate this weakness, this study provides an improved user scheme with a hash function and ElGamal signature. This new scheme has some advantages protecting password guessing attack, masquerade, and replay attack as well as providing forward secrecy. Compared to An's certification scheme, this scheme suggests that the effect of computational complexity is similar but the efficiency of safety is better.

• Journal of the Korea Institute of Information Security & Cryptology
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• v.1 no.1
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• pp.3-15
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• 1991

in 1984 Shamir proposed the concept of ID(identity)-based cryptosystem and digital signature scheme wich does not require any public file for storing the user' s public keys. In this paper, the concept of the ID-based cryptosystem based on discrete logarithm problem using the conven-tional public-key cryptosystems is described, and the implementation method of the ID-based cryptosystem is also presented. The new digital signaturw schme based on the ID-based crypto-system is proposed and possible atacks are considered and analyzed for the security of digital signature scheme. The proposed ID-based schemes are particularrly useful for smart card and personal identification card application.

• Journal of the Korea Institute of Information Security & Cryptology
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• v.12 no.6
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• pp.81-92
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• 2002

In some practical circumstances, the ability of a signer should be restricted. In group signature schemes, a group member of a group may be allowed to generate signatures up to a certain number of times according to his/her position in the group. In proxy signature schemes, an original signer may want to allow a proxy signer to generate a certain number of signatures on behalf of the original signer. In the paper, we present signature schemes, called c-times signature schemes, that restrict the signing ability of a signer up to c times for pre-defined value c at set-up. The notion of c-times signature schemes are formally defined, and generic transformation from a signature scheme to a c-times signature scheme is suggested. The proposed scheme has a self-enforcement property such that if a signer generates c+1 or more signatures, his/her signature is forged. As a specific example, we present a secure c-times signature scheme $^c$DSA based on the DSA (Digital Signature Algorithm) by using a threshold scheme. Our transformation can be applied to other ElGamal-like signature schemes as well.

• Journal of the Korea Society of Computer and Information
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• v.16 no.2
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• pp.183-191
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• 2011

Recently Wang-Li proposed the remote user authentication scheme using smart cards. But the proposed scheme has not been satisfied security requirements considering in the user authentication scheme using the password based smart card. In this paper, we described the Wang-Li and Yoon et al.'s authentication scheme simply, and we prove that the Wang-Li's scheme is vulnerable to a password guessing attack and impersonation attack in case that the attacker steals the user's smart card and extracts the information in the smart card. Accordingly, we propose the improved user authentication scheme based on the hash function and generalized ElGamal signature scheme that can withstand many possible attacks including a password guessing attack, impersonation attack and replay attack, and that can offer the function of forward secrecy. The result of comparative analysis, the our proposed scheme is much more secure and efficient than the Wang-Li and Yoon et al.'s scheme.