The Shortest Vector Problem and Tame Kernels of Cyclotomic Fields

Journal of Number Theory ◽

10.1016/j.jnt.2021.03.022 ◽

2021 ◽

Author(s):

Zhang Long ◽

Xu Kejian ◽

Dai Zhaopeng ◽

Sun Chaochao

Keyword(s):

Cyclotomic Fields ◽

Vector Problem ◽

Shortest Vector Problem ◽

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An Efficient Algorithm for the Shortest Vector Problem

IEEE Access ◽

10.1109/access.2018.2876401 ◽

2018 ◽

Vol 6 ◽

pp. 61478-61487 ◽

Author(s):

Yu-Lun Chuang ◽

Chun-I Fan ◽

Yi-Fan Tseng

Keyword(s):

Efficient Algorithm ◽

Vector Problem ◽

Shortest Vector Problem

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A linearithmic time algorithm for a shortest vector problem in compute-and-forward design

2016 IEEE International Symposium on Information Theory (ISIT) ◽

10.1109/isit.2016.7541718 ◽

2016 ◽

Author(s):

Jinming Wen ◽

Xiao-Wen Chang

Keyword(s):

Time Algorithm ◽

Vector Problem ◽

Shortest Vector Problem

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A Mixed Integer Quadratic Formulation for the Shortest Vector Problem

Mathematical Modelling for Next-Generation Cryptography - Mathematics for Industry ◽

10.1007/978-981-10-5065-7_13 ◽

2017 ◽

pp. 239-255 ◽

Author(s):

Keiji Kimura ◽

Hayato Waki

Keyword(s):

Mixed Integer ◽

Vector Problem ◽

Shortest Vector Problem

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Shortest Vector Problem

Encyclopedia of Algorithms ◽

10.1007/978-1-4939-2864-4_374 ◽

2016 ◽

pp. 1974-1977

Author(s):

Daniele Micciancio

Keyword(s):

Vector Problem ◽

Shortest Vector Problem

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Fast Lattice Basis Reduction Suitable for Massive Parallelization and Its Application to the Shortest Vector Problem

Public-Key Cryptography – PKC 2018 - Lecture Notes in Computer Science ◽

10.1007/978-3-319-76578-5_15 ◽

2018 ◽

pp. 437-460 ◽

Author(s):

Tadanori Teruya ◽

Kenji Kashiwabara ◽

Goichiro Hanaoka

Keyword(s):

Lattice Basis Reduction ◽

Vector Problem ◽

Shortest Vector Problem ◽

Basis Reduction ◽

Massive Parallelization

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The Shortest Vector Problem in Lattices with Many Cycles

Lecture Notes in Computer Science - Cryptography and Lattices ◽

10.1007/3-540-44670-2_14 ◽

2001 ◽

pp. 194-205 ◽

Author(s):

Mårten Trolin

Keyword(s):

Vector Problem ◽

Shortest Vector Problem

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Shortest Vector Problem

Encyclopedia of Cryptography and Security ◽

10.1007/978-1-4419-5906-5_434 ◽

2011 ◽

pp. 1196-1197 ◽

Author(s):

Daniele Micciancio

Keyword(s):

Vector Problem ◽

Shortest Vector Problem

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p3Enum: A New Parameterizable and Shared-Memory Parallelized Shortest Vector Problem Solver

Lecture Notes in Computer Science - Computational Science – ICCS 2019 ◽

10.1007/978-3-030-22750-0_48 ◽

2019 ◽

pp. 535-542

Author(s):

Michael Burger ◽

Christian Bischof ◽

Juliane Krämer

Keyword(s):

Shared Memory ◽

Problem Solver ◽

Vector Problem ◽

Shortest Vector Problem

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Hardness of Approximating the Shortest Vector Problem in Lattices

45th Annual IEEE Symposium on Foundations of Computer Science ◽

10.1109/focs.2004.31 ◽

2004 ◽

Author(s):

S. Khot

Keyword(s):

Vector Problem ◽

Shortest Vector Problem

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Hardness of approximating the Shortest Vector Problem in high ℓp norms

Journal of Computer and System Sciences ◽

10.1016/j.jcss.2005.07.002 ◽

2006 ◽

Vol 72 (2) ◽

pp. 206-219 ◽

Author(s):

Subhash Khot

Keyword(s):

Vector Problem ◽

Shortest Vector Problem

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