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多变量密码体制下大型布尔矩阵生成算法 被引量:2
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作者 陈勤 黄小珠 张旻 《计算机工程与应用》 CSCD 北大核心 2009年第19期75-77,113,共4页
大型可逆布尔矩阵在多变量公钥密码体制设计中有着其广泛用途,而高效的大型可逆布尔矩阵生成算法直接影响多变量公钥密码体制设计的质量。利用线性变换的思想,提出了布尔矩阵B8n*12n的一种生成算法,具有简单有效的优点。并给出了该大型... 大型可逆布尔矩阵在多变量公钥密码体制设计中有着其广泛用途,而高效的大型可逆布尔矩阵生成算法直接影响多变量公钥密码体制设计的质量。利用线性变换的思想,提出了布尔矩阵B8n*12n的一种生成算法,具有简单有效的优点。并给出了该大型布尔矩阵生成算法的具体描述,分析了该算法的时间复杂度,密钥的存储空间。整个求解过程和结果表明该算法的有效性。最后给出了其逆矩阵的求解算法。 展开更多
关键词 多变量公钥密码体制 可逆布尔矩阵 线性变换
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A NEW SCHEME BASED ON THE MI SCHEME AND ITS ANALYSIS 被引量:1
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作者 Jiao Luyao Li Yifa Qiao Shuaiting 《Journal of Electronics(China)》 2013年第2期198-203,共6页
This article aims at designing a new Multivariate Quadratic (MQ) public-key scheme to avoid the linearization attack and differential attack against the Matsumoto-Imai (MI) scheme. Based on the original scheme, our ne... This article aims at designing a new Multivariate Quadratic (MQ) public-key scheme to avoid the linearization attack and differential attack against the Matsumoto-Imai (MI) scheme. Based on the original scheme, our new scheme, named the Multi-layer MI (MMI) scheme, has a structure of multi-layer central map. Firstly, this article introduces the MI scheme and describes linearization attack and differential attack; then prescribes the designation of MMI in detail, and proves that MMI can resist both linearization attack and differential attack. Besides, this article also proves that MMI can resist recent eXtended Linearization (XL)-like methods. In the end, this article concludes that MMI also maintains the efficiency of MI. 展开更多
关键词 multivariate Quadratic (MQ) public-key Cryptosystem (PKC) Matsumoto-Imai (MI) Central map Linearization attack Differential attack eXtended Linearization (XL)
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