Galois非对偶RLWE族的安全考虑
Security considerations for Galois non-dual RLWE families
摘要：
进一步研究了Ring-LWE问题的非对偶离散变式在各种数环上的困难性，给出了满足某些附加假设的环上的改进攻击，构造了一类新的脆弱Galois数域，并应用Gauss和的一些数论结果推导了这些攻击在2-幂分圆环和非分歧模上的可能失败性.
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
