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Choosing rings for PLWE

In [ELOS15], the authors give an attack on RLWE, and claim that "the hardness of Ring-LWE is... dependent on special properties of the number field" chosen; whereas, responding to prior ...
a196884's user avatar
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6 votes
2 answers
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MLWE (and RLWE) to LWE reductions proof

In crypto papers, cryptanalysis of MLWE/RLWE/etc. is often reduced to LWE. Why can we do this? Is there strict proof of such reductions?
OneUser's user avatar
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4 votes
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Is the ring learning with errors problem still hard if the errors are drawn from some subspace?

Let $R=\mathbb{Z}_p[x]/x^n+1$ be the ring used in normal RLWE, which is linear space over $\mathbb{Z}_p$ with dimension of $n$, let $S$ be a linear subspace of $R$ which described by linear ...
Paul's user avatar
  • 243