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Erschienen in:
2012 | OriginalPaper | Buchkapitel
Some Mathematical Mysteries in Lattices
verfasst von : Chuanming Zong
Erschienen in: Advances in Cryptology – ASIACRYPT 2012
Verlag: Springer Berlin Heidelberg
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Lattice, as a basic object in Mathematics, has been studied by many prominent figures, including Gauss, Hermite, Voronio, Minkowski, Davenport, Hlawka, Rogers and many others still active today. It is one of the most important cornerstones of Geometry of Numbers, a classic branch of Number Theory. During recent decades, this pure mathematical concept has achieved remarkable applications in Cryptography, in particular its algorithm approaches. The main purpose of this talk is to demonstrate some basic mathematical problems and results (old and new) about lattices, which are probably useful in Cryptography in the future. These problems reflect some of the main interests of the mathematicians about lattices.