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weamp;#39;re almost there okay so the next stop in mnsure is a grass security and environment here at purplish we will be talking about some work is done over the summer on the security of lwe with binary sequence with the Christine butter so this will be a half an hour to 30 minutes and then right after that weamp;#39;ll have the open problem massage on right right away so thanks Erin for coming from my talk Iamp;#39;m so be talking about the concrete security of lwe a small secret and this was done as a summer internship project last summer with Christine Lauda how Chernin young system at Microsoft Research in Bremen so just give some very basic introduction about lattices so weamp;#39;ll consider a set of the linearly independent real vectors and a lattice generated by this basis B as formed by this vectors will be the set of integer linear combinations of them and this is an example of a two-dimensional lattice and the shorter specter problems us to find the shortest nonzero ve
