论文标题
RLWE/PLWE等效性,用于完全真实的环流范围通过准vandermonde矩阵
RLWE/PLWE equivalence for totally real cyclotomic subextensions via quasi-Vandermonde matrices
论文作者
论文摘要
我们提出并证明了一种广义方法,以证明RLWE的多项式还原到附着在单基数场整数上的PLWE问题。我们证明了与p任意素数的第4p-th-cyclotomic场的最大完全延伸的情况。
We propose and justify a generalised approach to prove the polynomial reduction of the RLWE to the PLWE problem attached to the ring of integers of a monogenic number field. We prove such equivalence in the case of the maximal totally real subextension of the 4p-th cyclotomic field, with p arbitrary prime.