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首页> 外文期刊>Electrical and Computer Engineering, Canadian Journal of >Private-key algebraic-code encryption with errors up to (dmin − 1) of the code
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Private-key algebraic-code encryption with errors up to (dmin − 1) of the code

机译：私钥代数代码加密，最大错误为（d min − 1）

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摘要

In most algebraic-code cryptosystems errors are added to the encoded plaintext to form the ciphertext. The number of added errors is usually less than or equal to the error-correcting capability of the code. In this paper we propose a method that permits the addition of almost double the number of these errors. The idea is based on the fact that linear codes can correct twice as many erasures as errors. A method for erasure creation, detection and correction is devised. Such an approach will allow for the addition of a number of errors that can not be corrected without side information about their position. This approach will result in a further increase in the security of these systems compared to systems with errors only. Based on this idea, a private-key cryptosystem with simple codes and permutations only is proposed and its security is evaluated.
机译：在大多数代数密码系统中，将错误添加到已编码的明文中以形成密文。增加的错误数通常小于或等于代码的纠错能力。在本文中，我们提出了一种方法，该方法允许增加几乎两倍的这些错误。这个想法基于这样一个事实，即线性代码可以纠正的擦除次数是错误的两倍。设计了一种用于擦除创建，检测和校正的方法。这种方法将允许添加许多错误，这些错误如果没有关于其位置的辅助信息就无法纠正。与仅存在错误的系统相比，这种方法将进一步提高这些系统的安全性。基于此思想，提出了仅具有简单代码和置换的私钥密码系统，并对其安全性进行了评估。

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