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Linear codes for high payload steganography

机译:高负载隐写术的线性代码

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Steganography is concerned with communicating hidden messages in such a way that no one apart from the sender and the intended recipient can detect the very existence of the message. We study the syndrome coding method (sometimes also called the “matrix embedding method”), which uses a linear code as an ingredient. Among all codes of a fixed block length and fixed dimension (and thus of a fixed information rate), an optimal code is one that makes it most difficult for an eavesdropper to detect the presence of the hidden message.We show that the average distance to code is the appropriate concept that replaces the covering radius for this particular application. We completely classify the optimal codes in the cases when the linear code used in the syndrome coding method is a one- or two-dimensional code over GF.2/. In the steganography application this translates to cases when the code carries a high payload (has a high information rate).
机译:隐秘术关心的是传达隐藏消息的方式,使得发件人和目标收件人之外的任何人都无法检测到该消息的存在。我们研究了使用线性编码作为成分的综合症编码方法(有时也称为“矩阵嵌入方法”)。在固定块长度和固定维度(因此信息率固定)的所有代码中,最优代码是使窃听者最难以检测到隐藏消息的存在的代码。代码是替代此特定应用程序的覆盖半径的适当概念。当在校正子编码方法中使用的线性代码是基于GF.2 /的一维或二维代码时,我们将最佳代码完全分类。在隐写应用程序中,这转换为代码携带高有效负载(信息率高)的情况。

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