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Shortest Vector

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Approximation Algorithms
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Abstract

The shortest vector problem is a central computational problem in the classical area of geometry of numbers. The approximation algorithm presented below has many applications in computational number theory and cryptography. Two of its most prominent applications are the derivation of polynomial time algorithms for factoring polynomials over the rationals and for simultaneous diophantine approximation.

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Notes

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© 2003 Springer-Verlag Berlin Heidelberg

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Vazirani, V.V. (2003). Shortest Vector. In: Approximation Algorithms. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-04565-7_27

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  • DOI: https://doi.org/10.1007/978-3-662-04565-7_27

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-08469-0

  • Online ISBN: 978-3-662-04565-7

  • eBook Packages: Springer Book Archive

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