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On Lattices, Learning with Errors, Random Linear Codes ...

cims.nyu.edu

On Lattices, Learning with Errors, Random Linear Codes, and Cryptography Oded Regev ⁄ May 2, 2009 Abstract Our main result is a reduction from worst-case lattice problems such as GAPSVP and SIVP to a certain learning problem. This learning problem is a natural extension of the ‘learning from parity with error’ problem to higher moduli.

  With, Learning, Errors, Learning with errors

The Learning with Errors Problem - NYU Courant

cims.nyu.edu

hence do not apply to LPN, i.e., the case q = 2. Finally, we remark that the approximation factors obtained for the worst-case lattice problems are typically of the form O˜(n/a), explaining why we prefer to have a 1/poly(n). A further discussion of the known hardness results will be given in …

  With, Learning, Errors, Learning with errors

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