Paper 2018/817 Original: eprint.iacr.org/2018/817 ↗

Understanding and Constructing AKE via Double-key Key Encapsulation Mechanism

Haiyang Xue
Xianhui Lu
Bao Li
Bei Liang
Jingnan He
Abstract

Motivated by abstracting the common idea behind several implicitly authenticated key exchange (AKE) protocols, we introduce a primitive that we call double-key key encapsulation mechanism (2-key KEM). It is a special type of KEM involving two pairs of secret-public keys and satisfying some function and security property. Such 2-key KEM serves as the core building block and provides alternative approaches to simplify the constructions of AKE. To see the usefulness of 2-key KEM, we show how several existing constructions of AKE can be captured as 2-key KEM and understood in a unified framework, including widely used HMQV, NAXOS, Okamoto-AKE, and FSXY12-13 schemes. Then, we show 1) how to construct 2-key KEM from concrete assumptions, 2) how to adapt the classical Fujisaki-Okamoto transformation and KEM combiner to achieve the security requirement of 2-key KEM, 3) an elegant Kyber-AKE over lattice using the improved Fujisaki-Okamoto technique.

Metadata
Available format(s)
PDF
Category
Public-key cryptography
Publication info
Preprint.
History
2019-08-27: last updated
2018-09-06: published
Short URL
https://ia.cr/2018/817
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2018/817,
      author = {Haiyang Xue and Xianhui Lu and Bao Li and Bei Liang and Jingnan He},
      title = {Understanding and Constructing AKE via Double-key Key Encapsulation Mechanism},
      howpublished = {Cryptology {ePrint} Archive, Paper 2018/817},
      year = {2018},
      url = {https://eprint.iacr.org/2018/817}
}
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