Paper 2024/1957 Original: eprint.iacr.org/2024/1957 ↗

NICE-PAKE: On the Security of KEM-Based PAKE Constructions without Ideal Ciphers

Nouri Alnahawi
Jacob Alperin-Sheriff
Daniel Apon
Gareth T. Davies
Alexander Wiesmaier
Abstract

We present the No IC Encryption (NICE)-PAKE, a (semi)-generic symmetric Password Authenticated Key Exchange (PAKE) framework providing a quantum-safe alternative for the Ideal Cipher (IC), utilizing simpler cryptographic components for the authentication step. To give a formal proof, we introduce the notions of A-Part Secrecy (A-SEC-CCA), Splittable Collision Freeness (A-CFR-CCA) and Public Key Uniformity (SPLIT-PKU) for splittable LWE KEMs. We show the relation of the former to the Non-uniform LWE and the Weak-Hint LWE assumptions, as well as its application to Ring and Module LWE. Finally, we show how to obtain a secure PAKE from our construction with concrete parameter choices for lattice KEMs.

Metadata
Available format(s)
PDF
Category
Cryptographic protocols
Publication info
Preprint.
History
2026-05-15: last updated
2024-12-03: published
Short URL
https://ia.cr/2024/1957
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2024/1957,
      author = {Nouri Alnahawi and Jacob Alperin-Sheriff and Daniel Apon and Gareth T. Davies and Alexander Wiesmaier},
      title = {NICE-PAKE: On the Security of KEM-Based PAKE Constructions without Ideal Ciphers},
      howpublished = {Cryptology {ePrint} Archive, Paper 2024/1957},
      year = {2024},
      url = {https://eprint.iacr.org/2024/1957}
}
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