Pseudorandomness of Ring-LWE for any ring and modulus. Peikert, C., Regev, O., & Stephens-Davidowitz, N. In STOC, 2017.
Pseudorandomness of Ring-LWE for any ring and modulus [link]Paper  abstract   bibtex   67 downloads  
We give a polynomial-time quantum reduction from worst-case (ideal) lattice problems directly to the decision version of (Ring-)LWE. This extends to decision all the worst-case hardness results that were previously known for the search version, for the same or even better parameters and with no algebraic restrictions on the modulus or number field. Indeed, our reduction is the first that works for decision Ring-LWE with any number field and any modulus.
@inproceedings{PRSPseudorandomnessRingLWE17,
  title = {Pseudorandomness of {Ring-LWE} for any ring and modulus},
  abstract = {We give a polynomial-time quantum reduction from worst-case (ideal) lattice problems directly to the decision version of (Ring-)LWE. This extends to decision all the worst-case hardness results that were previously known for the search version, for the same or even better parameters and with no algebraic restrictions on the modulus or number field. Indeed, our reduction is the first that works for decision Ring-LWE with any number field and any modulus.},
  url = {https://eprint.iacr.org/2017/258},
  booktitle = {STOC},
  author = {Peikert, Chris and Regev, Oded and {Stephens-Davidowitz}, Noah},
  year = {2017}
}

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