Abstract
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.
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© 2012 International Association for Cryptologic Research
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Zong, C. (2012). Some Mathematical Mysteries in Lattices. In: Wang, X., Sako, K. (eds) Advances in Cryptology – ASIACRYPT 2012. ASIACRYPT 2012. Lecture Notes in Computer Science, vol 7658. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-34961-4_2
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DOI: https://doi.org/10.1007/978-3-642-34961-4_2
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-34960-7
Online ISBN: 978-3-642-34961-4
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