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

Blanco-Chacón, Iván

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.

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