CRNov 26, 2021
RLWE/PLWE equivalence for the maximal totally real subextension of the $2^rpq$-th cyclotomic field
arXiv:2111.13484v12 citations
Originality Synthesis-oriented
AI Analysis
This work addresses a theoretical problem in lattice-based cryptography for cryptographers, but it appears incremental as it extends equivalence results to a more specific field.
The paper tackles the problem of proving the equivalence between Ring-LWE (RLWE) and Polynomial-LWE (PLWE) for a specific algebraic number field, the maximal totally real subextension of the 2^rpq-th cyclotomic field, and discusses applications in cryptanalysis.
We prove the RLWE/PLWE equivalence for the maximal totally real subextension of the $2^rpq$-th cyclotomic field and discuss some of its applications to cryptoanalysis.