cyclic field

cyclic field的基本解释

-

循环域

与cyclic field相关的网络例句 [注：此内容来源于网络，仅供参考]

The main contributions of the second part of this dissertation are focused on the cryptographic properties of logical functions over finite field, with the help of the properties of trace functions, and that of p-polynomials, as well as the permutation theory over finite field: The new definition of Chrestenson linear spectrum is given and the relation between the new Chrestenson linear spectrum and the Chrestenson cyclic spectrum is presented, followed by the inverse formula of logical function over finite field; The distribution for linear structures of the logical functions over finite field is discussed and the complete construction of logical functions taking on all vectors as linear structures is suggested, which leads to the conception of the extended affine functions over finite field, whose cryptographic properties is similar to that of the affine functions over field GF (2) and prime field F〓; The relationship between the degeneration of logical functions and the linear structures, the degeneration of logical functions and the support of Chrestenson spectrum, as well as the relation between the nonlinearity and the linear structures are discussed; Using the relation of the logical functions over finite field and the vector logical functions over its prime field, we reveal the relationship between the perfect nonlinear functions over finite field and the vector generalized Bent functions over its prime field; The existence or not of the perfect nonlinear functions with any variables over any finite fields is offered, and some methods are proposed to construct the perfect nonlinear functions by using the balanced p-polynomials over finite field.

重新定义了有限域上逻辑函数的Chrestenson线性谱，考察了新定义的Chrestenson线性谱和原来的Chrestenson循环谱的关系，并利用一组对偶基给出了有限域上逻辑函数的反演公式；给出了有限域上随机变量联合分布的分解式，并利用随机变量联合分布的分解式对有限域上逻辑函数的密码性质进行了研究；给出了有限域上逻辑函数与相应素域上向量逻辑函数的关系，探讨了它们之间密码性质的联系，如平衡性，相关免疫性，扩散性，线性结构以及非线性度等；讨论了有限域上逻辑函数各类线性结构之间的关系，并给出了任意点都是线性结构的逻辑函数的全部构造，由此引出了有限域上的"泛仿射函数"的概念；考察了有限域上逻辑函数的退化性与线性结构的关系、退化性与Chrestenson谱支集的关系；给出了有限域逻辑函数非线性度的定义，利用有限域上逻辑函数的非线性度与相应素域上向量逻辑函数非线性度的关系，考察了有限域上逻辑函数的非线性度与线性结构的关系；利用有限域上逻辑函数与相应素域上向量逻辑函数的关系，揭示了有限域上的广义Bent函数与相应素域上的广义Bent函数的关系，以及有限域上的完全非线性函数与相应素域上向量广义Bent函数之间的关系；给出了任意有限域上任意n元完全非线性函数存在性与否的完整证明，并利用有限域上平衡的p-多项式的性质给出了有限域上完全非线性函数的一些基本构造方法。

Recently, many coding experts have studied much of the Z_4-cyclic code(which is not necessarily linear) and its Gray map, and obtained a set of equivalent conditions in which a family of cyclic codes are linear, and the condition that this family codes are self-dual cyclic, and in this condition Nechaev-Gray image of the cyclic codes are self-dual cyclic.

近年来，已有编码学家对Z 4-循环码和Z 4上的映射作了深入研究，得到一类循环码是线性码的一系列等价条件，以及这类线性码是自对偶线性循环码的条件，在此条件下它的Nechaev-Gray像也是自对偶线性循环码。

The applicability of this constitutive model is evaluated with the simulations of material tests conducted by Sasaki et al., includes (1)Uniaxially constant strain amplitude cyclic test,(2)Fast in tension/Slow in compression constant strain amplitude cyclic test,(3)Slow-fast-slow constant strain amplitude cyclic test,(4)Cyclic strain with tensile hold time test. Simulations based on this constitutive model have a good agreement with (1),(2) and (3), proofs that it can describe the cyclic stress-strain behavior of 60Sn/40Pb solder very well.

为验证本模式之能力，本文选择Sasaki等人之实验为对象，分别对60Sn/40Pb焊锡在(1)定应变振幅之循环单轴负荷实验、(2)拉伸快/压缩慢之定应变振幅循环负荷实验、(3)慢-快-慢之定应变振幅循环负荷实验、(4)拉伸应力保持之循环应变实验下的材料行为进行模拟，由(1)、(2)及(3)之结果证明本模式对60Sn/40Pb焊锡循环应力-应变整体行为具有理想的描述能力，并对循环塑性应变范围与应力范围之值有准确的预估。

与cyclic field相关的网络解释 [注：此内容来源于网络，仅供参考]

cyclic field：循环域

cyclic extension 循环扩张 | cyclic field 循环域 | cyclic graph 循环图

cyclic field：循环体

循环扩张体 cyclic extension field | 循环体 cyclic field | 循环图 cyclic graph

imaginary cyclic field：虚循环域

financial status 财务[财政、信用]状态 | imaginary cyclic field 虚循环域 | utilidor 保温管道

cyclic extension field：循环扩张体

循环扩张 cyclic extension | 循环扩张体 cyclic extension field | 循环体 cyclic field

cyclic extension field：循环扩张域

cyclic ether | 环醚 | cyclic extension field | 循环扩张域 | cyclic extension | 循环扩张