• 제목/요약/키워드: computational Diffie-Hellman (CDH) assumption

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Provably Secure Length-Saving Public-Key Encryption Scheme under the Computational Diffie-Hellman Assumption

  • Baek, Joon-Sang;Lee, Byoung-Cheon;Kim, Kwang-Jo
    • ETRI Journal
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    • 제22권4호
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    • pp.25-31
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    • 2000
  • Design of secure and efficient public-key encryption schemes under weaker computational assumptions has been regarded as an important and challenging task. As far as ElGamal-type encryption schemes are concerned, some variants of the original ElGamal encryption scheme based on weaker computational assumption have been proposed: Although security of the ElGamal variant of Fujisaki-Okamoto public -key encryption scheme and Cramer and Shoup's encryption scheme is based on the Decisional Diffie-Hellman Assumption (DDH-A), security of the recent Pointcheval's ElGamal encryption variant is based on the Computational Diffie-Hellman Assumption (CDH-A), which is known to be weaker than DDH-A. In this paper, we propose new ElGamal encryption variants whose security is based on CDH-A and the Elliptic Curve Computational Diffie-Hellman Assumption (EC-CDH-A). Also, we show that the proposed variants are secure against the adaptive chosen-ciphertext attack in the random oracle model. An important feature of the proposed variants is length-efficiency which provides shorter ciphertexts than those of other schemes.

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An Efficient Group Key Agreement Using Hierarchical Key Tree in Mobile Environment

  • Cho, Seokhyang
    • 한국컴퓨터정보학회논문지
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    • 제23권2호
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    • pp.53-61
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    • 2018
  • In this paper, the author proposes an efficient group key agreement scheme in a mobile environment where group members frequently join and leave. This protocol consists of basic protocols and general ones and is expected to be suitable for communications between a mobile device with limited computing capability and a key distributing center (or base station) with sufficient computing capability. Compared with other schemes, the performance of the proposed protocol is a bit more efficient in the aspects of the overall cost for both communication and computation where the computational efficiency of the scheme is achieved by using exclusive or operations and a one-way hash function. Also, in the aspect of security, it guarantees both forward and backward secrecy based on the computational Diffie-Hellman (CDH) assumption so that secure group communication can be made possible. Furthermore, the author proves its security against a passive adversary in the random oracle model.

A Highly Secure Identity-Based Authenticated Key-Exchange Protocol for Satellite Communication

  • Yantao, Zhong;Jianfeng, Ma
    • Journal of Communications and Networks
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    • 제12권6호
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    • pp.592-599
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    • 2010
  • In recent years, significant improvements have been made to the techniques used for analyzing satellite communication and attacking satellite systems. In 2003, a research team at Los Alamos National Laboratory, USA, demonstrated the ease with which civilian global positioning system (GPS) spoofing attacks can be implemented. They fed fake signals to the GPS receiver so that it operates as though it were located at a position different from its actual location. Moreover, Galileo in-orbit validation element A and Compass-M1 civilian codes in all available frequency bands were decoded in 2007 and 2009. These events indicate that cryptography should be used in addition to the coding technique for secure and authenticated satellite communication. In this study, we address this issue by using an authenticated key-exchange protocol to build a secure and authenticated communication channel for satellite communication. Our protocol uses identity-based cryptography. We also prove the security of our protocol in the extended Canetti-Krawczyk model, which is the strongest security model for authenticated key-exchange protocols, under the random oracle assumption and computational Diffie-Hellman assumption. In addition, our protocol helps achieve high efficiency in both communication and computation and thus improve security in satellite communication.

유료 방송 시스템에 적합한 ID기반의 2 라운드 그룹키 동의 프로토콜 (Two-round ID-based Group Key Agreement Fitted for Pay-TV System)

  • 김현주;남정현;김승주;원동호
    • 정보보호학회논문지
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    • 제15권1호
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    • pp.41-55
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    • 2005
  • 그룹키 통의 프로토콜은 일련의 그룹을 형성하는 다수의 통신 참여자들이 공개된 통신망을 통해 안전하고 효율적인 방법으로 그룹의 세션키를 설정하기 위한 목적으로 설계된다. 본 논문에서는 유료 방송 시스템과 같은 그룹중심의 응용이나 서비스에 적합한 ID 기반의 2 라운드의 그룹키 동의 프로토콜을 제안하고, 이의 안전성을 CDH 가정과 BDDH 가정에 기반하여 랜덤 오라클 모델에서 증명한다. 제안하는 프로토콜은 Nam이 제안한 3 라운드 그룹키 동의 프로토콜을 기초로 설계된 것으로, 개인식별정보에 기반한 암호 시스템을 사용하여 키 관리 절차를 보다 간단히 하였으며, 새로운 인증 메카니즘을 사용하여 키 전송 메시지들의 길이를 줄이고 결합적 단순성을 제공하였다. 또한 제안하는 프로토콜은 전송되는 메시지들에 대한 인증을 묶음(batch) 기법을 사용하여 검증하도록 설계하여 효율성을 더욱 개선 시 켰다.

An Efficient Biometric Identity Based Signature Scheme

  • Yang, Yang;Hu, Yupu;Zhang, Leyou
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • 제7권8호
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    • pp.2010-2026
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    • 2013
  • The combination of biometrics and cryptography gains a lot of attention from both academic and industry community. The noisy biometric measurement makes traditional identity based cryptosystems unusable. Also the extraction of key from biometric information is difficult. In this paper, we propose an efficient biometric identity based signature scheme (Bio-IBS) that makes use of fuzzy extractor to generate the key from a biometric data of user. The component fuzzy extraction is based on error correction code. We also prove that the security of suggested scheme is reduced to computational Diffie-Hellman (CDH) assumption instead of other strong assumptions. Meanwhile, the comparison with existing schemes shows that efficiency of the system is enhanced.