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International Conference on the Theory and Application of Cryptology and Information Security

ASIACRYPT 2012: Advances in Cryptology – ASIACRYPT 2012 pp 2–3Cite as

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Some Mathematical Mysteries in Lattices

Some Mathematical Mysteries in Lattices

  • Chuanming Zong18 
  • Conference paper
  • 3742 Accesses

Part of the Lecture Notes in Computer Science book series (LNSC,volume 7658)

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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Authors and Affiliations

  1. Peking University, China

    Chuanming Zong

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  1. Chuanming Zong
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Editors and Affiliations

  1. Tsinghua University, 30 Shuangqing Road, 100084, Beijing, China

    Xiaoyun Wang

  2. Central Research Laboratories, NEC, 1754 Shimonumabe Nakahara, 211-8666, Kawasaki, Japan

    Kazue Sako

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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

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