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Analysis of the Non-linear Part of Mugi

机译:Mugi非线性部分的分析

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This paper presents the results of a preliminary analysis of the stream cipher MUGI. We study the nonlinear component of this cipher and identify several potential weaknesses in its design. While we can not break the full MUGI design, we show that it is extremely sensitive to small variations. For example, it is possible to recover the full 1216-bit state of the cipher and the original 128-bit secret key using just 56 words of known stream and in 2~(14) steps of analysis if the cipher outputs any state word which is different than the one used in the actual design. If the linear part is eliminated from the design, then the secret nonlinear 192-bit state can be recovered given only three output words and in just 2~(32) steps. If it is kept in the design but in a simplified form, then the scheme can be broken by an attack which is slightly faster than exhaustive search.
机译:本文介绍了物流密码Mugi的初步分析结果。我们研究了该密码的非线性组件,并确定了其设计中的几个潜在弱点。虽然我们不能破坏全部的Mugi设计,但我们表明它对小变异非常敏感。例如,如果密码输出任何状态字,则可以使用仅使用56个已知流和2〜(14)分析步骤来恢复密码和原始128位密钥的完整1216位状态。与实际设计中使用的不同。如果从设计中消除线性部分,则可以仅为三个输出字而恢复秘密非线性192位状态,仅在2〜(32)步骤中。如果它保持在设计中,而且以简化的形式保持,那么该方案可以通过略微快于详尽的搜索速度的攻击来打破。

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