代数数论的英文

• algebraic number theory

• "代数"英文翻译    K理论 algebraic K-theory
• "数论"英文翻译    number theory
• "代数数论主题列表" 英文翻译 :    list of algebraic number theory topics
• "代数数域的数论" 英文翻译 :    arithmetic of algebraic number fields
• "代数数" 英文翻译 :    algebraische zahl algebraic number
• "代数的数论" 英文翻译 :    arithmetic of algebras
• "代数函数论" 英文翻译 :    algebraic function theory
• "代数数系统" 英文翻译 :    algebraic number system
• "代数数域" 英文翻译 :    algebraic number field
• "绝对代数数域" 英文翻译 :    absolute algebraic number field
• "相对代数数域" 英文翻译 :    relative algebraic number field
• "有限代数数域" 英文翻译 :    finite algebraic number field
• "数论" 英文翻译 :    number theory
• "数数" 英文翻译 :    c counts; d-d digital-digital; reckon; spillikin
• "代数" 英文翻译 :    [数学] algebra◇代数闭域 algebraic closed field; 代数编码 algebraic coding; 代数变换 algebraic transformation; 代数表达式 algebraic expression; 代数簇 algebraic variety; 代数等价 algebraic equivalence; 代数对数 algebraic logarithm; 代数对应 algebraic correspondence; 代数方法 algebraic method; 代数方程(式) algebraic equation; 代数分析 algebraic analysis; 代数符号 algebraic sign; algebraic symbol; algebraic digit; 代数根 algebraic root; 代数函数 algebraic function; 代数函数域 algebraic function field; 代数和 algebraic sum; algebraic addition; 代数恒等式 algebraic identity; 代数化 algebraization; 代数基本定理 fundamental theorem of algebra; 代数积 algebraic product; 代数积分 algebraic integral; 代数集合 algebraic set; 代数几何(学) algebraic geometry; 代数解 algebraic solution; 代数解法 algebraic method; 代数解析 algebraic analysis; 代数空间 algebraic space; 代数扩张 algebraic extension; 代数 k理论 algebraic k-theory; 代数逻辑 algebraic logic; 代数平均法 method of algebraic; 代数平均误差 algebraic average error; 代数曲线 algebraic curve; 代数群 algebraic group; 代数式 algebraic expression; 代数数 algebraic number; 代数数论 algebraic number theory; theory of algebraic numbers; 代数数域 algebraic numbers field; 代数同构 isomorphism of algebra; 代数同伦 algebraic homotopy; 代数同态 algebra homomorphism; 代数拓扑(学) algebraic topology; 代数微分方程 algebraic differential equation; 代数无关 algebraic independence; 代数项 algebraic term; 代数学 algebra; 代数循环 algebraic cycle; 代数语言 algebraic language; 代数语言学 algebraic linguistics; 代数语义学 algebraic semantics; 代数学家 algebraist; 代数运算 algebraic operation; 代数整数 algebraic integer; 代数值 algebraic value
• "乘数论" 英文翻译 :    theory of the multiplier
• "函数论" 英文翻译 :    function theory; theory of functions
• "基数论" 英文翻译 :    theory of cardinals
• "距数论" 英文翻译 :    metric number theory
• "实数论" 英文翻译 :    theory of real number
• "数论法" 英文翻译 :    number theoretical method; number-theoretical method
• "数论家" 英文翻译 :    number theorists
• "数论派" 英文翻译 :    samkhya
• "数论师" 英文翻译 :    kapila
• "数论史" 英文翻译 :    history of the theory of numbers: divisibility and primality

• It has developed from two sources: algebraic geometry and algebraic member theory .
  它由两个方面发展而来，代数几何和代数数论。
• As an important algebraic subject , rings are the base of algebraic geometry and algebraic theory . rings are concerned about many other subjects
  环作为一门重要的代数学科是代数几何和代数数论的基础，有许多其它相关学科领域都涉及到环。
• Using the theories of probability , algebra and number theory comprehensively , we investigate a class of boolean functions with three - valued walsh spectrum in the first part of this dissertation : the properties of the extended semi - bent functions , which are constructed from any two bent functions , are studied , followed by the structure characteristics of the boolean functions satisfying propagation criterion with respect to all but two vectors ; the definition and cryptographic properties of k - order quasi - bent functions are proposed whose walsh spectrum takes on only three values . some sufficient and necessary conditions are offered to decide whether a boolean function is a k - order quasi - bent function ; a special method is presented to construct the k - order quasi - bent functions , whose cryptographic properties are explored by the matrix method , which is different from the method of walsh spectrum and that of autocorrelation of boolean functions ; the application of this kind of boolean functions in the fields of stream cipher , communications and block ciphers is discussed , which shows the great importance of the fc - order quasi - bent functions ; some methodology are proposed to construct the k - order quasi - bent functions , including the complete construction by using the characteristic matrices of boolean functions , and the recursive method by two known k - order quasi - bent functions we further extend our investigation to the ring zp , where p is a prime , and the similar results are presented as far as the p - valued quasi - generalized - bent functions are considered
  本文首先综合运用概率论、代数学、数论等基础学科的理论知识，并以频谱理论作为主要研究工具，对一类谱值分布相对均匀的函数? ?广半bent函数、 k阶拟bent函数和p值k阶拟广义bent函数进行了系统、深入的研究，给出了广半bent函数定义，并探讨了广半bent函数的密码学性质；给出了k阶拟bent函数和p值k阶拟广义bent函数的定义及等价判别条件；讨论了k阶拟bent函数和p值k阶拟广义bent函数与部分bent函数和p值广义部分bent函数的关系，探讨了它们的密码学性质；给出了k阶拟bent函数和p值k阶拟广义bent函数的典型构造方法，并将对k阶拟bent函数的密码性质的研究转化到对一类特殊的矩阵的研究上；利用布尔函数的特征矩阵原则上给出了k阶拟bent函数的一种完全构造方法，还给出了从已有的p值k阶拟广义bent函数出发，递归构造变元个数更多的p值k阶拟广义bent函数的方法；初步探讨了k阶拟bent函数在序列密码、分组密码以及通信中的应用；给出了一类布尔函数walsh谱的分解式，并利用这类布尔函数的walsh谱分解式给出了一类近似稳定的布尔函数的构造，特殊情形下为k阶拟bent函数；利用代数数论的知识考察了p值k阶拟广义bent函数的谱特征，并给出了k阶拟广义bent函数与所有仿射函数的符合率特征等等。

• 代数数论的法语：Théorie algébrique des nombres
• 代数数论的俄语：Алгебраическая теория чисел
• 代数数论的阿拉伯语：تصنيف:نظرية جبرية للأعداد;
• 代数数论的印尼文：teori bilangan algebra; teori bilangan aljabar;