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Secure network coding and non-malleable codes: Protection against linear tampering

机译:安全的网络编码和不可恶意编码:防止线性篡改

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At ICS 2010, Dziembowski et al. introduced the notion of Non-Malleable Codes (NMC), adapting the cryptographic notion of non-malleability to the coding theory. Using NMC, if an attacker modifies a codeword, decoding this modified codeword will return either the original message or a completely unrelated value. The property of non-malleability depends on a family of modifications authorized to the attacker. In their paper, Dziem-bowski et al. propose a construction valid for the family of all bit-wise independent functions. At ITW 2011, Chabanne et al. proposed another construction for non-malleable codes w.r.t. bit-wise independent tampering functions by drawing a parallel between NMC and the Wire-Tap Channel II. In this paper, we show that the construction using Linear Coset Coding proposed by Chabanne et al. is non-malleable w.r.t. a larger class of functions, by considering linear tampering. Our results are derived from security results on Secure Network Coding using Linear Coset Coding, introduced by El Rouayheb and Soljanin at ISIT 2007.
机译:在ICS 2010上,Dziembowski等人。引入了非恶意代码(NMC)的概念,使非恶意代码的密码概念适应了编码理论。使用NMC,如果攻击者修改了代码字,则对该修改后的代码字进行解码将返回原始消息或完全不相关的值。不可恶意攻击的属性取决于授权给攻击者的一系列修改。在他们的论文中,Dziem-bowski等人。提出对所有按位独立功能族有效的构造。在2011年ITW上,Chabanne等人。提出了另一种用于非恶意代码w.r.t.通过在NMC和“窃听通道II”之间绘制一个并行位,实现按位独立的篡改功能。在本文中,我们证明了Chabanne等人提出的使用线性陪集编码的构造。是不可篡改的通过考虑线性篡改来实现更大的功能。我们的结果来自El Rouayheb和Soljanin在ISIT 2007上提出的使用线性陪集编码的安全网络编码的安全性结果。

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