| 基于离散对数与零空间的合成 HMAC 网络编码方案 |
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| 引用本文： | 舒红章,张 璇.基于离散对数与零空间的合成 HMAC 网络编码方案[J].教育技术导刊,2009,19(9):238-245. |
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| 作者姓名： | 舒红章 张 璇 |
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| 作者单位： | 湖北工业大学 计算机学院，湖北 武汉 430068 |
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| 基金项目： | 国家自然科学基金项目（61672010，61370224，61702168） |
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| 摘 要： | 为了降低中间节点编码转发机制给网络编码系统带来的污染攻击风险，通过分析零空间网络编码理论研究成果，提出基于离散对数公钥机制与零空间对称密钥机制的合成 HMAC 方案。对该方案进行安全性分析，并在每个数据包签名长度 L = 10 、每代数据包消息条数 m = 50 等条件下进行实验。结果表明，该方案计算效率相比基于经典密码学的具有抗伪造能力与可验证性的 HSS 方案提高了 3 倍以上，而且恶意节点伪造数据包成功通过其它节点验证的概率，相比基于零空间理论的具有同态性与较高计算效率的 NS-HMAC 方案降低了 qL - 1 倍。因此，基于离散对数公钥机制与零空间对称密钥机制的合成 HMAC 方案不仅提高了计算效率，还提高了安全性。
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| 关 键 词： | 网络编码 零空间 离散对数 合成 HMAC |
| 收稿时间： | 2019-12-19 |
Synthetic HMAC Network Coding Scheme Based on Discrete Log and Null Space |
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| SHU Hong-zhang,ZHANG Xuan.Synthetic HMAC Network Coding Scheme Based on Discrete Log and Null Space[J].Introduction of Educational Technology,2009,19(9):238-245. |
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| Authors: | SHU Hong-zhang ZHANG Xuan |
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| Institution: | School of Computer Science，Hubei University of Technology，Wuhan 430068，China |
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| Abstract: | In order to reduce the risk of pollution attacks on the network coding system caused by the coding and forwarding mechanism of intermediate nodes，this paper analyzes the research results of null-space network coding theory，and proposes a synthetic HMAC scheme based on the discrete logarithmic public key mechanism and the null-space symmetric key mechanism. Security analysis is performed. Experiments are performed under conditions such as the length of each packet signature L = 10 ，the number of packet messages per generation m = 50 . Experimental results show that the computational efficiency of this scheme is three times higher than that of the HSS scheme with anti-forgery capability and verifiability based on classic cryptography. The security analysis shows that the probability that the forged data packet of malicious node successfully passes the verification of other nodes in this scheme is reduced by qL - 1 times compared with the NS-HMAC scheme with homomorphism and computation efficiency based on null space theory. The synthetic HMAC scheme based on discrete logarithmic public key mechanism and null-space symmetric key mechanism improves not only efficiency but also security. |
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| Keywords: | network coding system null space discrete logarithmic synthetic HMAC |
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