Security Considerations for Galois Non-dual RLWE Families

نویسندگان

  • Hao Chen
  • Kristin E. Lauter
  • Katherine E. Stange
چکیده

We explore further the hardness of the non-dual discrete variant of the Ring-LWE problem for various number rings, give improved attacks for certain rings satisfying some additional assumptions, construct a new family of vulnerable Galois number fields, and apply some number theoretic results on Gauss sums to deduce the likely failure of these attacks for 2-power cyclotomic rings and unramified moduli.

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تاریخ انتشار 2016