Paper 2026/421 Original: eprint.iacr.org/2026/421 ↗

Cryptanalysis of Polynomial Learning With Errors (PLWE): A Survey

Rahinatou Yuh Njah Nchiwo
Abstract

Lattice-based cryptography (LBC) has emerged as one of the most promising fields supporting post-quantum cryptography (PQC). The Learning With Errors (LWE) problem \cite{Regev}, due to its strong security guarantees, plays a fundamental role in LBC, although it is not very efficient for cryptographic applications. To address this limitation, several variants of LWE have been developed, such as Ring-LWE (RLWE) \cite{LPR2010}, which is suitable for theoretical purposes, and Polynomial-LWE (PLWE) \cite{BV}, which is more practical. This survey provides a systematic review of vulnerable instances of PLWE. These attacks may extend to RLWE in instances where the two problems are equivalent.. This paper serves as a resource for those seeking a structured overview of the state-of-the-art attacks on PLWE.

Metadata
Available format(s)
PDF
Category
Attacks and cryptanalysis
Publication info
Preprint.
History
2026-03-11: last updated
2026-03-02: published
Short URL
https://ia.cr/2026/421
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2026/421,
      author = {Rahinatou Yuh Njah Nchiwo},
      title = {Cryptanalysis of Polynomial Learning With Errors (PLWE): A Survey},
      howpublished = {Cryptology {ePrint} Archive, Paper 2026/421},
      year = {2026},
      url = {https://eprint.iacr.org/2026/421}
}
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