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On a linear Diophantine equation
Proceedings of the Indian Academy of Sciences - Section A, 1940S S Pillai, Pillai S S
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Solving a Linear Diophantine Equation with Lower and Upper Bounds on the Variables [PDF]
Conference on Integer Programming and Combinatorial Optimization, 1998 We develop an algorithm for solving a linear diophantine equation with lower and upper bounds on the variables. The algorithm is based on lattice basis reduction, and first finds short vectors satisfying the diophantine equation.
K. Aardal, C. Hurkens, A. Lenstra
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How can we solve a linear Diophantine equation by the basis reduction algorithm
International Journal of Computer Mathematics, 2005H. Esmaeili
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Linear Diophantine Equation: Solution and Applications
International Journal of Mathematics Trends and Technology, 2019This paperinvestigates the integer solution of Diophantine Equation (DE).
U. N. Roy, R. Sah, A. Sah, S. Sourab
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A mathematical model of the cryptosystem based on the linear Diophantine equation
International Conference on Security of Information and Networks, 2018We present the mathematical model of Information security system based on the linear inhomogeneous Diophantine equation. Plain text is the solution of the Diophantine equation, cipher text is the right side of equation.
V. Osipyan, K. I. Litvinov
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1995
A linear Diophantine equation in two variables is an equation of the form ax + by = c where a, b and c are given integers, and x and y are unknown integers. Sometimes x and y are restricted to the set of positive integers.
W. S. Anglin, J. Lambek
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A linear Diophantine equation in two variables is an equation of the form ax + by = c where a, b and c are given integers, and x and y are unknown integers. Sometimes x and y are restricted to the set of positive integers.
W. S. Anglin, J. Lambek
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2020
A study of linear Diophantine equations, with a focus on the Frobenius number and the denumerants.
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A study of linear Diophantine equations, with a focus on the Frobenius number and the denumerants.
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On solving probabilistic linear Diophantine equations
J. Mach. Learn. Res., 2021Summary: Multiple methods exist for computing marginals involving a linear Diophantine constraint on random variables. Each of these extant methods has some limitation on the dimension and support or on the type of marginal computed (e.g., sum-product inference, max-product inference, maximum a posteriori, etc.).
Patrick Kreitzberg, Oliver Serang
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The Linear Diophantine Equation
The American Mathematical Monthly, 1981(1981). The Linear Diophantine Equation. The American Mathematical Monthly: Vol. 88, No. 3, pp. 200-203.
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Mathematics Magazine, 1958
We shall describe elementary methods for solving linear Diophantine equations, either single equations or systems of equations. The equations with which we shall deal have integral coefficients and require integral solutions. Such equations are named after Diophantus of Alexandria, who lived probably between 100 and 300 A. D.
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We shall describe elementary methods for solving linear Diophantine equations, either single equations or systems of equations. The equations with which we shall deal have integral coefficients and require integral solutions. Such equations are named after Diophantus of Alexandria, who lived probably between 100 and 300 A. D.
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