• Title/Summary/Keyword: Pairing computation

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AN EFFICIENT AND SECURE STRONG DESIGNATED VERIFIER SIGNATURE SCHEME WITHOUT BILINEAR PAIRINGS

  • Islam, Sk Hafizul;Biswas, G.P.
    • Journal of applied mathematics & informatics
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    • v.31 no.3_4
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    • pp.425-441
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    • 2013
  • In literature, several strong designated verifier signature (SDVS) schemes have been devised using elliptic curve bilinear pairing and map-topoint (MTP) hash function. The bilinear pairing requires a super-singular elliptic curve group having large number of elements and the relative computation cost of it is approximately two to three times higher than that of elliptic curve point multiplication, which indicates that bilinear pairing is an expensive operation. Moreover, the MTP function, which maps a user identity into an elliptic curve point, is more expensive than an elliptic curve scalar point multiplication. Hence, the SDVS schemes from bilinear pairing and MTP hash function are not efficient in real environments. Thus, a cost-efficient SDVS scheme using elliptic curve cryptography with pairingfree operation is proposed in this paper that instead of MTP hash function uses a general cryptographic hash function. The security analysis shows that our scheme is secure in the random oracle model with the hardness assumption of CDH problem. In addition, the formal security validation of the proposed scheme is done using AVISPA tool (Automated Validation of Internet Security Protocols and Applications) that demonstrated that our scheme is unforgeable against passive and active attacks. Our scheme also satisfies the different properties of an SDVS scheme including strongness, source hiding, non-transferability and unforgeability. The comparison of our scheme with others are given, which shows that it outperforms in terms of security, computation cost and bandwidth requirement.

Certificateless multi-signer universal designated multi-verifier signature from elliptic curve group

  • Deng, Lunzhi;Yang, Yixian;Chen, Yuling
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.11 no.11
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    • pp.5625-5641
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    • 2017
  • Certificateless public key cryptography resolves the certificate management problem in traditional public key cryptography and the key escrow problem in identity-based cryptography. In recent years, some good results have been achieved in speeding up the computation of bilinear pairing. However, the computation cost of the pairing is much higher than that of the scalar multiplication over the elliptic curve group. Therefore, it is still significant to design cryptosystem without pairing operations. A multi-signer universal designated multi-verifier signature scheme allows a set of signers to cooperatively generate a public verifiable signature, the signature holder then can propose a new signature such that only the designated set of verifiers can verify it. Multi-signer universal designated multi-verifier signatures are suitable in many different practical applications such as electronic tenders, electronic voting and electronic auctions. In this paper, we propose a certificateless multi-signer universal designated multi-verifier signature scheme and prove the security in the random oracle model. Our scheme does not use pairing operation. To the best of our knowledge, our scheme is the first certificateless multi-signer universal designated multi-verifier signature scheme.

Efficient Multi-Receiver Certificate-Based Encryption Scheme and Its Application (효율적인 인증서기반 다중수신자 암호 기법 및 응용)

  • Sur, Shul;Jung, Chae-Duk;Rhee, Kyung-Hyune
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.11 no.12
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    • pp.2271-2279
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    • 2007
  • In this paper, we introduce the notion of certificate-based encryption in multi-receiver environment, which avoids the inherent key escrow problem while preserving the implicit certification in identity-based encryption. We also construct a highly efficient certificate-based encryption scheme for multi-receiver environment, which eliminates pairing computation to encrypt a message for multiple receivers. Moreover, the proposed scheme only needs one pairing computation for decrypting the ciphertext. We compare our scheme with the most efficient identity-based encryption scheme for multi-receiver environment proposed by Baek et.al.[1] in terms of the computational point of view, and show that our scheme provides better efficiency than Baek's scheme. Finally, we discuss how to properly transform our scheme into a new public key broadcast encryption scheme based on subset-cover framework.

A Multi-receiver Certificateless Encryption Scheme and Its Application (무인증서 공개키 암호에 기반한 다중수신자 암호 기법 및 응용)

  • Sur, Chul;Park, Young-Ho;Rhee, Kyung-Hyune
    • Journal of Korea Multimedia Society
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    • v.14 no.6
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    • pp.775-784
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    • 2011
  • In this paper we introduce the notion of multi-receiver certificateless encryption that avoids the inherent key escrow problem of multi-receiver identity-based encryption, and also present a highly efficient multi-receiver certificateless encryption scheme which eliminates pairing computation to encrypt a message for multiple receivers, Moreover, the proposed scheme only needs one pairing computation to decrypt the ciphertext. Finally, we discuss how to properly transform our scheme into a new public key broadcast encryption scheme for stateless receivers based on the subset-cover framework, which enjoys the advantages of certificateless cryptography.

A Data Fault Attack on the Miller Algorithm for Pairing Computation in Mobile Ad-Hoc Network Environments (이동 Ad-Hoc 네트워크 환경에서 페어링 연산의 밀러 알고리듬에 대한 데이터 오류 공격)

  • Bae, KiSeok;Sohn, GyoYong;Park, YoungHo;Moon, SangJae
    • Journal of the Institute of Electronics and Information Engineers
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    • v.50 no.2
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    • pp.70-79
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    • 2013
  • Recently, there has been introduced various types of pairing computations to implement ID based cryptosystem for mobile ad hoc network. The Miller algorithm is the most popular algorithm for the typical pairing computation such as Weil, Tate and Ate. In this paper, we analyze the feasibility of concrete data fault injection attack, which was proposed by Whelan and Scott, in terms of regardless of round positions during the execution of the Miller algorithm. As the simulation results, the proposed attack that can be employed to regardless of round positions and coordinate systems is effective and powerful.

Analysis of Certificateless Signcryption Schemes and Construction of a Secure and Efficient Pairing-free one based on ECC

  • Cao, Liling;Ge, Wancheng
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.12 no.9
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    • pp.4527-4547
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    • 2018
  • Signcryption is a cryptographic primitive that provides authentication (signing) and confidentiality (encrypting) simultaneously at a lower computational cost and communication overhead. With the proposition of certificateless public key cryptography (CLPKC), certificateless signcryption (CLSC) scheme has gradually become a research hotspot and attracted extensive attentions. However, many of previous CLSC schemes are constructed based on time-consuming pairing operation, which is impractical for mobile devices with limited computation ability and battery capacity. Although researchers have proposed pairing-free CLSC schemes to solve the issue of efficiency, many of them are in fact still insecure. Therefore, the challenging problem is to keep the balance between efficiency and security in CLSC schemes. In this paper, several existing CLSC schemes are cryptanalyzed and a new CLSC scheme without pairing based on elliptic curve cryptosystem (ECC) is presented. The proposed CLSC scheme is provably secure against indistinguishability under adaptive chosen-ciphertext attack (IND-CCA2) and existential unforgeability under adaptive chosen-message attack (EUF-CMA) resting on Gap Diffie-Hellman (GDH) assumption and discrete logarithm problem in the random oracle model. Furthermore, the proposed scheme resists the ephemeral secret leakage (ESL) attack, public key replacement (PKR) attack, malicious but passive KGC (MPK) attack, and presents efficient computational overhead compared with the existing related CLSC schemes.

Enhanced Certificate-Based Encryption Scheme without Bilinear Pairings

  • Lu, Yang;Zhang, Quanling
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.10 no.2
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    • pp.881-896
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    • 2016
  • Certificate-based cryptography is a useful public key cryptographic primitive that combines the merits of traditional public key cryptography and identity-based cryptography. It not only solves the key escrow problem inherent in identity-based cryptography, but also simplifies the cumbersome certificate management problem in traditional public key cryptography. In this paper, by giving a concrete attack, we first show that the certificate-based encryption scheme without bilinear pairings proposed by Yao et al. does not achieve either the chosen-ciphertext security or the weaker chosen-plaintext security. To overcome the security weakness in Yao et al.'s scheme, we propose an enhanced certificate-based encryption scheme that does not use the bilinear pairings. In the random oracle model, we formally prove it to be chosen-ciphertext secure under the computational Diffie-Hellman assumption. The experimental results show that the proposed scheme enjoys obvious advantage in the computation efficiency compared with the previous certificate-based encryption schemes. Without costly pairing operations, it is suitable to be employed on the computation-limited or power-constrained devices.

Wireless Internet Payment Protocol Using Weil Pairing Method (무선인터넷에서 Weil Pairing 기법을 적용한 지불 프로토콜)

  • Jin Shi-Mei;Lee Hyun-Ju;Rhee Chung-Sei
    • The Journal of the Korea Contents Association
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    • v.5 no.3
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    • pp.9-17
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    • 2005
  • Recently, there are rapid development of information and communication technology and rapid growing of e-business users. We propose a method for security problem on the internet environment which changes from wire internet to wireless internet or wire/ wireless internet. Wireless e-business adopts credit card WPP protocol and AIP protocol proposed by ASPeCT. WAP, one of the protocol used by WPP has weakness of leaking out information from WG which connected wire and wireless communication. Certification chain based AIP protocol requires a lot of computation time and user IDs are known to others. We propose a Micro-Payment protocol based on credit card. Our protocol use the encryption techniques of the public key with ID to ensure the secret of transaction in the step of session key generation. IDs are generated using ECC based Weil pairing. We also use the certification with hidden electronic sign to transmit the payment result. The proposed protocol also solves the privacy protection and Non-repudiation problem.

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Study on Improvement of Weil Pairing IBE for Secret Document Distribution (기밀문서유통을 위한 Weil Pairing IBE 개선 연구)

  • Choi, Cheong-Hyeon
    • Journal of Internet Computing and Services
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    • v.13 no.2
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    • pp.59-71
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    • 2012
  • PKI-based public key scheme is outstanding in terms of authenticity and privacy. Nevertheless its application brings big burden due to the certificate/key management. It is difficult to apply it to limited computing devices in WSN because of its high encryption complexity. The Bilinear Pairing emerged from the original IBE to eliminate the certificate, is a future significant cryptosystem as based on the DDH(Decisional DH) algorithm which is significant in terms of computation and secure enough for authentication, as well as secure and faster. The practical EC Weil Pairing presents that its encryption algorithm is simple and it satisfies IND/NM security constraints against CCA. The Random Oracle Model based IBE PKG is appropriate to the structure of our target system with one secret file server in the operational perspective. Our work proposes modification of the Weil Pairing as proper to the closed network for secret file distribution[2]. First we proposed the improved one computing both encryption and message/user authentication as fast as O(DES) level, in which our scheme satisfies privacy, authenticity and integrity. Secondly as using the public key ID as effective as PKI, our improved IBE variant reduces the key exposure risk.

Optimization of multiplication-techniques for a Pairing for sensor network security protocol based on bilinear map (Bilinear map 기반 센서네트워크 보안프로토콜을 위한 Pairing용 곱셈 최적화 기법)

  • Seo, Hwa-Jeong;Lee, Dong-Geon;Kim, Ho-Won
    • Proceedings of the Korean Information Science Society Conference
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    • 2010.06a
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    • pp.166-170
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    • 2010
  • 센서네트워크는 유비쿼터스 환경을 실현할 수 있는 기술로서, 최근 무인 경비 시스템이나 에너지 관리, 환경 모니터링, 홈 자동화, 헬스케어 응용 등과 같은 다양한 응용 분야에 활용되고 있다. 하지만 자신의 정보가 무선통신상에 쉽게 노출됨으로써 도청과 전송 메시지에 대한 위변조, 서비스 거부 공격을 받을 위험이 있다. 더욱이 센서네트워크의 자원 제약성(적은 메모리, 컴퓨팅 성능의 제약)과 키분배 관리의 어려움으로 인해 기존의 공개키, 대칭키 기반의 면안프로토콜을 대체할 수 있는 프로토콜이 필요하다. 그러므로 키분배 관리에 장 접을 가지는 Bilinear map 기반 프로토콜은 적합한 대안이다. 하지만 프로토콜에 사용되는 Pairing연산은 높은 컴퓨팅 성능이 요구된다. 따라서 제한된 성능을 가진 센서상의 구현을 위해서는 Computation Cost를 줄이고 연산 수행 속도를 가속화 할 필요성이 있다. 본 논문에서는 프로토콜 구현에 필요한 Pairing의 핵심 연산인 Multiplication을 대표적인 센서노드 프로세서인 MSP430상에서 최적화 구현함으로써 성능을 개선한다.

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