Paper 2020/320 Original: eprint.iacr.org/2020/320 ↗

Universally Composable Relaxed Password Authenticated Key Exchange

Michel Abdalla
Manuel Barbosa
Tatiana Bradley
Stanislaw Jarecki
Jonathan Katz
Jiayu Xu
Abstract

Protocols for password authenticated key exchange (PAKE) allow two parties who share only a weak password to agree on a cryptographically strong key. We revisit the notion of PAKE in the framework of universal composability, and propose a relaxation of the PAKE functionality of Canetti et al. that we call lazy-extraction PAKE (lePAKE). Roughly, our relaxation allows the ideal-world adversary to postpone its password guess even until after a session is complete. We argue that this relaxed notion still provides meaningful security in the password-only setting. As our main result, we show that several PAKE protocols that were previously only proven secure with respect to a "game-based" definition can in fact be shown to realize the lePAKE functionality in the random-oracle model. These include SPEKE, SPAKE2, and TBPEKE, the most efficient PAKE schemes currently known.

Metadata
Available format(s)
PDF
Category
Cryptographic protocols
Publication info
Preprint.
History
2020-03-15: last updated
2020-03-15: published
Short URL
https://ia.cr/2020/320
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2020/320,
      author = {Michel Abdalla and Manuel Barbosa and Tatiana Bradley and Stanislaw Jarecki and Jonathan Katz and Jiayu Xu},
      title = {Universally Composable Relaxed Password Authenticated Key Exchange},
      howpublished = {Cryptology {ePrint} Archive, Paper 2020/320},
      year = {2020},
      url = {https://eprint.iacr.org/2020/320}
}
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