Note: Inapproximability results for the minimum integral solution problem with preprocessing over l∞ norm

  • Authors:
  • Wenbin Chen;Lingxi Peng;Jianxiong Wang;Fufang Li;Maobin Tang;Wei Xiong;Songtao Wang

  • Affiliations:
  • Department of Computer Science, Guangzhou University, PR China and Shanghai Key Laboratory of Intelligent Information Processing, Fudan University, PR China and State Key Laboratory for Novel Soft ...;Department of Computer Science, Guangzhou University, PR China;Department of Computer Science, Guangzhou University, PR China;Department of Computer Science, Guangzhou University, PR China;Department of Computer Science, Guangzhou University, PR China;Department of Computer Science, Guangzhou University, PR China;South China Normal University, PR China

  • Venue:
  • Theoretical Computer Science
  • Year:
  • 2013

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Abstract

The Minimum Integral Solution Problem with preprocessing has been introduced by Alekhnovich, Khot, Kindler, and Vishnoi [M. Alekhnovich, S. Khot, G. Kindler, N. Vishnoi, Hardness of approximating the closest vector problem with preprocessing, in: Proc. 46th IEEE Symposium on FOCS, 2005, pp. 216-225]. They studied the complexity of Minimum Integral Solution Problem with preprocessing over @?"p norm (1@?p0, unless P=NP.