Paper 2018/331 Original: eprint.iacr.org/2018/331 ↗

Estimate all the {LWE, NTRU} schemes!

Martin R. Albrecht
Benjamin R. Curtis
Amit Deo
Alex Davidson
Rachel Player
Eamonn W. Postlethwaite
Fernando Virdia
Thomas Wunderer
Abstract

We consider all LWE- and NTRU-based encryption, key encapsulation, and digital signature schemes proposed for standardisation as part of the Post-Quantum Cryptography process run by the US National Institute of Standards and Technology (NIST). In particular, we investigate the impact that different estimates for the asymptotic runtime of (block-wise) lattice reduction have on the predicted security of these schemes. Relying on the ``LWE estimator'' of Albrecht et al., we estimate the cost of running primal and dual lattice attacks against every LWE-based scheme, using every cost model proposed as part of a submission. Furthermore, we estimate the security of the proposed NTRU-based schemes against the primal attack under all cost models for lattice reduction.

Metadata
Available format(s)
PDF
Publication info
Preprint.
History
2018-12-03: last updated
2018-04-10: published
Short URL
https://ia.cr/2018/331
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2018/331,
      author = {Martin R.  Albrecht and Benjamin R.  Curtis and Amit Deo and Alex Davidson and Rachel Player and Eamonn W.  Postlethwaite and Fernando Virdia and Thomas Wunderer},
      title = {Estimate all the {LWE, NTRU} schemes!},
      howpublished = {Cryptology {ePrint} Archive, Paper 2018/331},
      year = {2018},
      url = {https://eprint.iacr.org/2018/331}
}
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