| 书目名称 | Complexity of Lattice Problems | | 副标题 | A Cryptographic Pers | | 编辑 | Daniele Micciancio,Shafi Goldwasser | | 视频video | | | 丛书名称 | The Springer International Series in Engineering and Computer Science | | 图书封面 |  | | 描述 | Lattices are geometric objects that can be pictorially described as the set of intersection points of an infinite, regular n-dimensional grid. De spite their apparent simplicity, lattices hide a rich combinatorial struc ture, which has attracted the attention of great mathematicians over the last two centuries. Not surprisingly, lattices have found numerous ap plications in mathematics and computer science, ranging from number theory and Diophantine approximation, to combinatorial optimization and cryptography. The study of lattices, specifically from a computational point of view, was marked by two major breakthroughs: the development of the LLL lattice reduction algorithm by Lenstra, Lenstra and Lovasz in the early 80‘s, and Ajtai‘s discovery of a connection between the worst-case and average-case hardness of certain lattice problems in the late 90‘s. The LLL algorithm, despite the relatively poor quality of the solution it gives in the worst case, allowed to devise polynomial time solutions to many classical problems in computer science. These include, solving integer programs in a fixed number of variables, factoring polynomials over the rationals, breaking knapsack based cr | | 出版日期 | Book 2002 | | 关键词 | Approximation; Hypergraph; algorithms; combinatorics; complexity; complexity theory; computational complex | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4615-0897-7 | | isbn_softcover | 978-1-4613-5293-8 | | isbn_ebook | 978-1-4615-0897-7Series ISSN 0893-3405 | | issn_series | 0893-3405 | | copyright | Springer Science+Business Media New York 2002 |
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发表于 2025-3-21 18:42:46
