Paper 2026/1230

Formula Freshness for Staged Hybrid Authenticated Key Exchange

Anis Bkakria, IRT SystemX
Merland Chrislain Chadrel BAFOUETILA
Abstract

Hybrid post-quantum migration is entering deployed handshake designs, but hybrid KEM security protects only one shared-secret input. It does not by itself say whether handshake, application, exporter, or resumption material remains pseudorandom after branch reveals, stage-key reveals, selective corruptions, or late corruptions. We characterize these staged claims through branch-formula freshness: each stage receives a monotone formula over branch exposure, authentication freshness, transcript binding, KDF ancestry, and explicit non-reveal atoms. Secrecy follows by replacing a surviving branch contribution and then using a labelled HKDF/PRF-style target-hiding argument along a fresh KDF cut; agreement follows separately from authentication binding and injective transcript representation. We also give selector-local accounting, where a fixed admissible witness selector determines which surviving branches and KDF cuts are charged. For scoped TLS 1.3 ECDHE--ML-KEM 1-RTT, we identify the branch-replacement, HKDF-path, and binding assumptions that imply concrete preservation bounds for handshake, application, exporter, and resumption targets.

Metadata
Available format(s)
PDF
Category
Cryptographic protocols
Publication info
Preprint.
Keywords
Authenticated Key ExchangeHybrid Key ExchangePost-Quantum CryptographyMulti-Stage Key Exchange
Contact author(s)
anis bkakria @ irt-systemx fr
chadrel-chrislain bafouetila @ irt-systemx fr
History
2026-06-11: revised
2026-06-10: received
See all versions
Short URL
https://ia.cr/2026/1230
License
Creative Commons Attribution
CC BY

BibTeX

@misc{cryptoeprint:2026/1230,
      author = {Anis Bkakria and Merland Chrislain Chadrel BAFOUETILA},
      title = {Formula Freshness for Staged Hybrid Authenticated Key Exchange},
      howpublished = {Cryptology {ePrint} Archive, Paper 2026/1230},
      year = {2026},
      url = {https://eprint.iacr.org/2026/1230}
}
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