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A Generic Construction of Homomorphic MAC for Multi-File Transmission in Network Coding

Jinyong Chang1,2 and Rui Xue1
1.State Key Laboratory of Information Security, Institute of Information Engineering, Chinese Academy of Sciences, Beijing 100093, China
2.Department of Mathematics, Changzhi University, Changzhi 046011, China
Abstract—Homomorphic message authentication codes (MAC) have been proposed to thwart pollution attacks in network coding. The existing schemes mainly are based on the vector inner product or trace function over finite fields. Recently, Wang and Hu presented a generic construction of homomorphic MAC scheme based on linear mapping over finite fields which is an excellent abstract of the vector inner product and the trace function. However, their construction can only be used for single-file transmission. In this paper, we convert their scheme into a new one that supports multi-file transmission. Moreover, our scheme needs shorter key when one wants to achieve the same security as that of Wang et al.

Index Terms—Homomorphic MAC, network coding, pollution attacks, linear mapping

Cite: Jinyong Chang and Rui Xue, "A Generic Construction of Homomorphic MAC for Multi-File Transmission in Network Coding," Journal of Communications, vol. 10, no. 1, pp. 43-47, 2015. Doi: 10.12720/jcm.10.1.43-47
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