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Algorithms for solving systems of linear diophantine equations in integer domains
Authors:S. L. Kryvyi
Affiliation:(1) Cybernetics Institute, National Academy of Sciences of Ukraine, Kiev, Ukraine
Abstract:
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. __________ Translated from Kibernetika i Sistemnyi Analiz, No. 2, pp. 3–17, March–April 2006.
Keywords:linear Diophantine equation  basis of a solution set  minimal supported set of solutions
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