For a wide range of integers n (n is the product of prime number and prime number or 1),a necessary and sufficient condition is given for a polynomial of degree n over the finite field F_p being an irreducible polynomial or primitive polynomial.
对于一大类整数n(n为素数乘于素数或1的积),分别给出有限域Fp上n次多项式是不可约多项式与本原多项式的一个充要条件,该条件可通过O(n3)次Fp上乘法加以验证,易于硬件实现。
In this paper, we discuss the number of irreducible polynomials over F q of degree m and period l, moreover, we describle a principle of obtaining new irreducible polynomials from known ones.
主要利用较文献 [4]更为简明的方法证明了有关有限域 Fq(q为一个素数幂 )上的以 l为周期的 n次不可约多项式的个数的结论 ,另外 ,本文结合初等数论知识得到了前面这个结论的几个推论 ,并对利用低次不可约多项式构造高次不可约多项式进行了研究 。
Moreover, it is proved that the polynomial x n-1, where (n,p)=1, can be uniquely factored into a product of finitely many pairwise coprime basic irreducible polynomials in Z p e .
在多项式环 Zpe[x]中 ,建立了 Hensel引理及提升 ,并利用 Hensel引理证明了 xn- 1在 Zpe[x]中可惟一分解成基本不可约多项式的乘积 ,其中 (n,p) =1。
Judgement Method of Irreducible Polynomial in Two Variables
有理数域上二元不可约多项式的判别
An Efficient and Deterministic Algorithm to Determine Irreducible and Primitive Polynomials over Finite Fields
判定有限域上不可约多项式及本原多项式的一种高效算法
Discuss The Relation Between The Period And Number Of Times Of The Irreducible Polynomial On The F_p;
F_p上不可约多项式的周期与次数的关系
Criteria of Irreducible Polynomials over an Unique Factorization Domain R;
唯一分解整环R上不可约多项式的一些判别准则
The Irreducible Quadratic Factorizations of the Polynomial x~n-bx-a;
多项式x~n-bx-a的二次不可约因式
Applications of Minimal Unsatisfiable Formulas to Polynomially Reduction for Formulas
极小不可满足公式在多项式归约中的应用
The New Proof of the Irreducibility of Cyclotomic Polynomial in Z[x];
分圆多项式在Ζ[x]中不可约性的新证明
An Algorithm for the Determination of the Unreducibility of Polynomial f(x)mod p;
多项式f(x)mod p不可约的一种判别算法
Some Critical Theorems of the Irreducibility of the Integer Polynomial in the Rational Field;
整系数多项式在有理数域上不可约的几个判定定理
A Differentiation of the irreduvible of the Rational Number On-field Whole Coefficient Odd -time Polynomials;
有理数域上整系数奇次多项式不可约的一个判别法
The Reduction about Polynomial Bezout Matrix and the Inverse of Vandermonde Matrix;
多项式Bezout矩阵的约化与Vandermonde矩阵的逆
FactorGEP:a novel factorization of polynomial algorithm based on GEP with gene reduction strategy
基于GEP基因约简策略的多项式因式分解
Heuristic Algorithm for Aerospace Multi-project Scheduling with Multi-resource Constraints
多资源约束下航天多项目调度的启发式算法
Recurrence Formula for Unreliability Polynomial of Graphs
图的不可靠性多项式的递推公式(英文)
Multi mode Resource constrained Project Scheduling Problems;
资源约束条件下多模式项目调度问题研究
Inversion Approximation for Polynomials by the Constrained Jacobi Basis and its Application
基于约束Jacobi基的多项式反函数逼近及应用
any distinct quantity contained in a polynomial.
（数学）多项式中任何可以辩识的量。
Polynomial Maps with Additive-nilpotent Jacobian Matrix
带有可加幂零Jacobi矩阵的多项式映射