Transcription of Lattice Based Cryptography for Beginners
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Lattice Based Cryptography for Beginners
Lattice Based Cryptography for Beginners A supplementary note to the s Bonn Lecture , Peikert and Regev:A toolkit for s Lecture Slides on multilinear mapswith Cryptanalysis of GGH map due to Hu and JiaDong Pyo Chi1,2, Jeong Woon Choi3, Jeong San Kim4and Taewan Kim51 Division of General Studies, of Mathematics, Seoul National Technology R&D Center, SK of Applied Mathematics, Kyung Hee of Mathematical Sciences, Ewha Womans purpose of this lecture note is to introduce Lattice Based Cryptography , which isthought to be a cryptosystem of post-quantum age. We have tried to give as many detailspossible specially for novice on the subject. Something may be trivial to an expert butnot to a fundamental problems about Lattice are thought to be hard even against quan-tum computer, compared to factorization problem which can be solved easily with quan-tum computer, via the celebrated Shor factorization quantum algorithm.
Chapter 1 Mathematical and Computational Background 1.1 Mathematical Background In Part I, we use the notations in [P13]. 1.1.1 De nitions Lattice A lattice Lof Rn is by de nition a discrete subgroup of Rn.In this note we only deal
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