| 基于DCR假设的KDM-CCA安全性 |
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| 引用本文： | 郭 伟,常金勇,高 磊. 基于DCR假设的KDM-CCA安全性[J]. 计算机工程与应用, 2017, 53(12): 116-120. DOI: 10.3778/j.issn.1002-8331.1609-0212 |
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| 作者姓名： | 郭 伟 常金勇 高 磊 |
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| 作者单位： | 1.长治学院 数学系，山西 长治 0460112.北京大学 数学科学学院，北京 100871 |
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| 摘 要： | 加密方案的KDM（Key-Dependent Message）安全性定义依赖于某一特定的函数族[F]。通过引入一类新的函数族，证明了在两个用户的情形下，Cramer和Shoup提出了基于DCR（Decisional Composite Residuosity）假设的方案（以下称为CS-DCR方案），关于这类新函数族具有KDM-CCA安全性。由于CS-DCR方案本身非常得高效，因此，获得了兼有高效性和（相应）KDM-CCA安全性的加密方案。
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| 关 键 词： | DCR假设 KDM安全性 CCA安全性 公钥加密 Cramer-Shoup方案 |
KDM-CCA security based on DCR assumption |
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| GUO Wei,CHANG Jinyong,GAO Lei. KDM-CCA security based on DCR assumption[J]. Computer Engineering and Applications, 2017, 53(12): 116-120. DOI: 10.3778/j.issn.1002-8331.1609-0212 |
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| Authors: | GUO Wei CHANG Jinyong GAO Lei |
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| Affiliation: | 1.Department of Mathematics, Changzhi University, Changzhi, Shanxi 046011, China2.School of Mathematics, Peking University, Beijing 100871, China |
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| Abstract: | The definition of KDM （Key-Dependent Message） security is related to some specific ensemble[F]. By introducing a new ensemble of functions, it proves that, in two user cases, the DCR-based scheme proposed by Cramer and Shoup is KDM-CCA secure w.r.t. the new ensemble. Since the CS-DCR scheme is very efficient, an encryption scheme is gotten which is not only somewhat KDM-CCA secure but also very efficient. |
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| Keywords: | Decisional Composite Residuosity（DCR） assumption Key-Dependent Message（KDM） security Chosen Ciphertext Attack（CCA） security public key encryption Cramer-Shoup scheme |
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