Article ID Journal Published Year Pages File Type
436910 Theoretical Computer Science 2007 5 Pages PDF
Abstract

Let 1≤p<∞ be any fixed real. We show that assuming P≠NP, it is hard to approximate the Minimum Solutions of Linear Diophantine Equations in ℓp norm within any constant factor and it is also hard to approximate the Minimum Solutions of Linear Diophantine Equations in ℓp norm within the factor nc/loglogn for some constant c>0 where n is the number of variables in the equations.

Related Topics
Physical Sciences and Engineering Computer Science Computational Theory and Mathematics