Geometry of the Minimal Solutions of a Linear Diophantine Equation

SIAM Journal on Discrete Mathematics ◽

10.1137/21m1404417 ◽

2021 ◽

Vol 35 (3) ◽

pp. 1952-1963

Author(s):

Papa A. Sissokho

Keyword(s):

Diophantine Equation ◽

Linear Diophantine Equation

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Image Encryption Algorithm Based on Piece Wise Linear Chaotic Map Integration With Linear Diophantine Equation

2019 International Conference on Information Technology and Computer Application (ITCA) ◽

10.1109/itca49981.2019.00079 ◽

2019 ◽

Author(s):

Zhang Hongtao

Keyword(s):

Image Encryption ◽

Diophantine Equation ◽

Chaotic Map ◽

Encryption Algorithm ◽

Linear Diophantine Equation ◽

Map Integration ◽

Image Encryption Algorithm

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The Linear Diophantine Equation

American Mathematical Monthly ◽

10.1080/00029890.1981.11995228 ◽

1981 ◽

Vol 88 (3) ◽

pp. 200-203 ◽

Cited By ~ 1

Author(s):

Stanley Kertzner

Keyword(s):

Diophantine Equation ◽

Linear Diophantine Equation

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Inside factorial monoids and the Cale monoid of a linear Diophantine equation

Journal of Algebra ◽

10.1016/j.jalgebra.2019.03.036 ◽

2019 ◽

Vol 531 ◽

pp. 125-140

Author(s):

Pedro A. García-Sánchez ◽

Ulrich Krause ◽

David Llena

Keyword(s):

Diophantine Equation ◽

Linear Diophantine Equation

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Using the Blankinship algorithm to find the general solution of a linear diophantine equation

Acta Informatica ◽

10.1007/bf00288771 ◽

1980 ◽

Vol 13 (4) ◽

pp. 379-382 ◽

Cited By ~ 9

Author(s):

Susumu Morito ◽

Harvey M. Salkin

Keyword(s):

General Solution ◽

Diophantine Equation ◽

Linear Diophantine Equation

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How can we solve a linear Diophantine equation by the basis reduction algorithm

International Journal of Computer Mathematics ◽

10.1080/0020716042000301761 ◽

2005 ◽

Vol 82 (10) ◽

pp. 1227-1234 ◽

Cited By ~ 1

Author(s):

H. Esmaeili

Keyword(s):

Diophantine Equation ◽

Reduction Algorithm ◽

Linear Diophantine Equation ◽

Basis Reduction

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The Linear Diophantine Equation

American Mathematical Monthly ◽

10.2307/2320472 ◽

1981 ◽

Vol 88 (3) ◽

pp. 200 ◽

Cited By ~ 4

Author(s):

Stanley Kertzner

Keyword(s):

Diophantine Equation ◽

Linear Diophantine Equation

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Frobenius Number of a Linear Diophantine Equation

Commutative Ring Theory and Applications ◽

10.1201/9780203910627-3 ◽

2017 ◽

pp. 40-53

Keyword(s):

Diophantine Equation ◽

Frobenius Number ◽

Linear Diophantine Equation

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SOLVING LINEAR DIOPHANTINE EQUATION m{n^2}x + q{m^2}y = p{m^2}{n^3} BY A FINITE CONTINUED FRACTION

International Journal of Pure and Apllied Mathematics ◽

10.12732/ijpam.v94i4.14 ◽

2014 ◽

Vol 94 (4) ◽

Author(s):

P. Haarsa

Keyword(s):

Diophantine Equation ◽

Continued Fraction ◽

Linear Diophantine Equation

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Solving a Linear Diophantine Equation with Lower and Upper Bounds on the Variables

Integer Programming and Combinatorial Optimization - Lecture Notes in Computer Science ◽

10.1007/3-540-69346-7_18 ◽

1998 ◽

pp. 229-242 ◽

Cited By ~ 6

Author(s):

Karen Aardal ◽

Cor Hurkens ◽

Arjen K. Lenstra

Keyword(s):

Diophantine Equation ◽

Upper Bounds ◽

Lower And Upper Bounds ◽

Linear Diophantine Equation

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AN APPLICATION OF LINEAR DIOPHANTINE EQUATIONS TO CRYPTOGRAPHY

Advances in Mathematics: Scientific Journal ◽

10.37418/amsj.10.6.8 ◽

2021 ◽

Vol 10 (6) ◽

pp. 2799-2806

Author(s):

P. Anuradha Kameswari ◽

S.S. Sriniasarao ◽

A. Belay

Keyword(s):

Diophantine Equation ◽

Diophantine Equations ◽

Key Exchange ◽

Infinitely Many Solutions ◽

Key Exchange Protocol ◽

Random Solution ◽

Linear Diophantine Equation ◽

Linear Diophantine Equations

In this chapter we propose a Key exchange protocol based on a random solution of linear Diophantine equation in n variables, where the considered linear Diophantine equation satisfies the condition for existence of infinitely many solutions. Also the crypt analysis of the protocol is analysed.

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