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algebra degree
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  代数次数
     Regarding randomicity and S-box ,we present many methods which arefrequency test ,serial test ,poker test ,runs test ,autocorrelationtest ,SAC test, algebra degree, distribution ,differential cryptanalysis,approximate linearity and correlation test, to test them .
     本文针对随机性测试详细介绍了频率、序列、扑克、游程和自相关测试的方法。 同时,针对S 盒测试,归纳了严格雪崩准则、代数次数与项数分布、差分、线性与相关性测试的方法。
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     The autocorrelation functions, algebra degree, diffusibility and number of multi-output functions are discussed.
     讨论了多输出 Bent函数的自相关特征 ,给出了 Bent函数自相关的两个充分必要条件 ; 研究了多输出 Bent函数的代数次数、扩散特性及计数 ;
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     A class of extended Maiorana-McFarland(M-M) functions is defined. It is proposed that the expression of its Walsh spectrum and the bound of its algebra degree. It is as well as proved that the M-M functions is the sufficient condition of the balanced functions,correlation immune functions and resilient functions.
     定义了一类广义M-M类函数,给出了它的Walsh谱的表达式、代数次数和非线性度的界,论述了平衡函数、相关免疫函数和resilient函数的充分条件.
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  “algebra degree”译为未确定词的双语例句
     4. The autocorrelation function, algebra degree, pervasion and number of multi-output Bentfunctions are discussed. From the autocorrelation function, we present two methods to discriminate multi-output Bent functions.
     4.考察了多输出Bent函数的广义自相关函数,给出了多输出Bent函数的两个判定条件;
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  相似匹配句对
     Irreducible representation of the odd-degree complex Clifford algebra
     奇数次复Clifford代数的不可约表示
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     The Theorem of Topological Degree and the Proof of Fundamental Theorem of Algebra
     代数基本定理的度理论证法
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     EI Algebra
     EI代数
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     On Translatability and Its Degree
     利用可译性 提高可译度——读解《可译性与可译度》
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     Properties of s-algebra
     s代数的性质
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Non-repeated homogeneous functions are a class of special Boolean functions They are very important in constructing cryptographic security nonlinear combining functions So,their cryptographic properties are studied in this paper As a result,we know that non-repeated homogeneous functions of one degree are possessed of good equilibrium and correlation-immunity,and those of two degrees are one class of Bent functions with the highest non-linearity,the largest order number of diffusion,etc On the basis of the...

Non-repeated homogeneous functions are a class of special Boolean functions They are very important in constructing cryptographic security nonlinear combining functions So,their cryptographic properties are studied in this paper As a result,we know that non-repeated homogeneous functions of one degree are possessed of good equilibrium and correlation-immunity,and those of two degrees are one class of Bent functions with the highest non-linearity,the largest order number of diffusion,etc On the basis of the above,the applications of non-repeated homogeneous functions to constructing non-linear combining functions are studied in detail Therefore,the constructions of balanced correlation-immune functions with higher non-linearity as well as of functions with the highest non-linearity and the highest algebra degree are obtained

不重复齐次函数是一类特殊的布尔函数 ,它在构造密码安全非线性组合函数中有着重要的应用 ,因此 ,文中研究了这类函数的密码性质 ,作为结果 ,得知不重复齐次一次函数有良好的平衡性和相关免疫性 ,不重复齐次二次函数是一类Bent函数 ,有着最高的非线性度和最高的扩散次数等。并以此为基础 ,深入研究了不重复齐次函数在构造非线性组合函数中的应用 ,从而得到了具有高非线性度且平衡相关免疫的函数和具有较高非线性度且代数次数达到最高的函数的结构。

SAC(k) and the functions satisfying SAC(k) are studied in this paper. First, some important results about SAC of order k are deeply analyzed; then the construction Boolean functions satisfying SAC(k) of a certain order are given, and finally the balanced SAC(k) functions with higher nonlinearity and highest algebra degree are obtained.

对k阶严格雪崩性及满足k阶严格雪崩性的函数进行了研究。首先 ,对已有重要结果进行了深入分析 ;其次 ,给出了满足一定阶严格雪崩性布尔函数的结构 ;最后 ,得到了满足k阶严格雪崩且同时具有较高非线性度和最高代数次数的平衡函数。

The autocorrelation functions, algebra degree, diffusibility and number of multi-output functions are discussed. It also sums up several equal definitions and presents two methods for constructing multi-output functions.

讨论了多输出 Bent函数的自相关特征 ,给出了 Bent函数自相关的两个充分必要条件 ;研究了多输出 Bent函数的代数次数、扩散特性及计数 ;归纳了多输出 Bent函数的等价性质 ;给出了多输出 Bent函数的两种构造方法 .

 
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