ALGORITHMS FOR SOLVING SYSTEMS OF LINEAR DIOPHANTINE EQUATIONS IN INTEGER DOMAINS

S. L. Kryvyi

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ALGORITHMS FOR SOLVING SYSTEMS OF LINEAR DIOPHANTINE EQUATIONS IN INTEGER DOMAINS

机译：求解整数域中线性二氧磷灰石方程组的算法

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摘要

Algorithms are described that solve homogeneous systems of linear Diophantine equations over natural numbers and over the set {0, 1}. Properties of the algorithms and their time estimates are given.

机译：描述了在自然数和集合{0，1}上求解线性Diophantine方程的齐次系统的算法。给出了算法的性质及其时间估计。

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来源
《Cybernetics and Systems Analysis》 |2006年第2期|p.163-175|共13页
作者
S. L. Kryvyi;
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作者单位

Cybernetics Institute, National Academy of Sciences of Ukraine, Kiev, Ukraine;

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收录信息美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类自动化技术、计算机技术;
关键词
linear diophantine equation; basis of a solution set; minimal supported set of solutions;

机译：线性二项方程方程;解集的基础;最小支持集;

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1. ALGORITHMS FOR SOLVING SYSTEMS OF LINEAR DIOPHANTINE EQUATIONS IN RESIDUE RINGS [J] . S. L. Kryvyi Cybernetics and Systems Analysis . 2008,第6期

机译：求解残基环中线性二氧黄嘌呤方程组的算法
2. AN ALGORITHM FOR CONSTRUCTING THE BASIS OF THE SOLUTION SET FOR SYSTEMS OF LINEAR DIOPHANTINE EQUATIONS OVER THE RING OF INTEGERS [J] . S. L. Kryvyi Cybemetics and Systems Analysis . 2009,第6期

机译：构造整数环上的Dophantine方程组系统解集的基础的算法
3. Integer extended ABS algorithms and possible control of intermediate results for linear Diophantine systems [J] . Mostafa Khorramizadeh, Nezam Mahdavi-Amiri 4OR . 2009,第2期

机译：整数扩展ABS算法和线性Diophantine系统中间结果的可能控制
4. Use of Extended Euclidean Algorithm in Solving a System of Linear Diophantine Equations with Bounded Variables [C] . Parthasarathy Ramachandran International Symposium on Algorithmic Number Theory(ANTS-VII); 20060723-28; Berlin(DE) . 2006

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5. Algorithms for solving linear and polynomial systems of equations over finite fields, with applications to cryptanalysis. [D] . Bard, Gregory V. 2007

机译：用于求解有限域上方程的线性和多项式系统的算法，并应用于密码分析。
6. Multivariate systems of nonexpansive operator equations and iterative algorithms for solving them in uniformly convex and uniformly smooth Banach spaces with applications [O] . Yongchun Xu, Jinyu Guan, Yanxia Tang, -1

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7. Algorithms for solving systems of linear diophantine equations in integer domains [O] . S. L. Kryvyi 2006

机译：整数域中线性二阶偶数方程组系统的求解算法

ALGORITHMS FOR SOLVING SYSTEMS OF LINEAR DIOPHANTINE EQUATIONS IN INTEGER DOMAINS

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