一種異構(gòu)混合群組簽密方案的安全性分析與改進(jìn)
doi: 10.11999/JEIT190129
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西北師范大學(xué)計算機科學(xué)與工程學(xué)院 蘭州 730070
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甘肅衛(wèi)生職業(yè)學(xué)院 蘭州 730070
基金項目: 國家自然科學(xué)基金(61163038, 61262056,61262057)，甘肅省高等學(xué)校科研項目(2017A-003, 2018A-207)
Security Analysis and Improvements of Hybrid Group Signcryption Scheme Based on Heterogeneous Cryptosystem
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College of Computer Science and Engineering, Northwest Normal University, Lanzhou 730070, China
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Gansu Health Vocational College, Lanzhou 730070, China
Funds: The National Natural Science Foundation of China (61163038, 61262056, 61262057), The Higher Educational Scientific Research Foundation of Gansu Province (2017A-003, 2018A-207)
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摘要: 異構(gòu)混合群組簽密不僅能夠解決不同密碼體制下數(shù)據(jù)傳輸?shù)臋C密性和不可偽造性，而且還能對任意長度的數(shù)據(jù)進(jìn)行加密。該文首先分析了一種異構(gòu)密碼體制下混合群組簽密方案的安全性，指出該方案不滿足正確性、機密性和不可偽造性。并提出了一種新的高效異構(gòu)混合群組簽密方案。其次在隨機預(yù)言機模型下證明了該方案是安全的。最后效率分析表明，該方案在實現(xiàn)原方案所有的功能的基礎(chǔ)上同時降低了計算代價。Abstract: Heterogeneous hybrid group signcryption can not only solve the confidentiality and unforgeability of data transmission under different cryptosystems, but also encrypt data of any length. Firstly, the security of a hybrid group signcryption scheme under heterogeneous cryptosystem is analyzed, and it is pointed out that the scheme does not satisfy the correctness, confidentiality and unforgeability. And a new efficient heterogeneous hybrid group signcryption scheme is proposed. Secondly, it is proved that the proposed scheme is safe under the random oracle model. Finally, the efficiency analysis shows that the proposed scheme reduces the computational cost while realizing all the functions of the original scheme.
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Key words:
- Hybrid signcryption /
- Heterogeneous /
- Security analysis /
- Efficiency analysis
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表 1 性能分析
方案 方向 簽密 解簽密 機密性 不可偽造性 牛方案 IBC→CLC (2n+7)M (2n+5)M × × 本文方案 IBC→CLC P+(4+n)M 3P+E+(n+2)M √ √ 
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表 2 簽密計算時間(s)
N 100 200 300 400 500 600 700 800 900 1000 牛方案 0.448 0.881 1.314 1.747 2.18 2.613 3.046 3.479 3.912 4.345 本文方案 0.229 0.445 0.662 0.878 1.095 1.311 1.529 1.744 1.961 2.177
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表 3 解簽密計算時間(s)
N 100 200 300 400 500 600 700 800 900 1000 牛方案 0.443 0.876 1.309 1.742 2.175 2.608 3.041 3.474 3.907 4.340 本文方案 0.236 0.453 0.669 0.889 1.102 1.318 1.535 1.751 1.968 2.184
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