Exact Equivocation Expressions for Wiretap Coding Over Erasure Channel Models
Exact Equivocation Expressions for Wiretap Coding Over Erasure Channel Models
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DOI：
10.1109/lcomm.2020.3018686
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发表时间：
2020-12-01
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影响因子：
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通讯作者：
Harrison, Willie K.
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文献类型：
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作者：
Harrison, Willie K.
窃听码的传统安全性分析要求在码块长度趋于无穷时评估渐近含糊度。然而，有限块长度码需要含糊度的精确表达式，以便能够比较不同码结构之间或同一结构内的参数化码。在本文中，我们针对主信道和窃听者信道均为二进制删除信道（BEC）的窃听信道模型上的陪集编码，给出了两个精确的含糊度表达式。这些表达式是二进制窃听码代数结构的函数，并且在主信道无噪声的特殊情况下也成立。
Traditional security analysis of wiretap codes requires evaluation of equivocation in the asymptote as the code blocklength tends to infinity. Finite blocklength codes, however, require exact expressions for equivocation so as to allow for comparison of parameterized codes across different code constructions or within the same construction. In this letter, we present two exact equivocation expressions for coset coding over the wiretap channel model with binary erasure channels (BECs) for both the main channel and the eavesdropper's channel. The expressions are functions of the algebraic structure of the binary wiretap codes, and they also hold for the special case when the main channel is noiseless.