Paper 2020/076 Original: eprint.iacr.org/2020/076 ↗

Wyner-Ziv reconciliation for key exchange based on Ring-LWE

Charbel Saliba
Laura Luzzi
Cong Ling
Abstract

We consider a key encapsulation mechanism (KEM) based on ring-LWE where reconciliation is performed on an $N$-dimensional lattice using Wyner-Ziv coding. More precisely, we consider Barnes-Wall lattices and use Micciancio and Nicolosi's bounded distance decoder with polynomial complexity $\mathcal{O}(N \log^2(N))$. We show that in the asymptotic regime for large $N$, the achievable key rate is $\Theta(\log N)$ bits per dimension, while the error probability $P_e$ vanishes exponentially in $N$. Unlike previous works, our scheme does not require a dither.

Metadata
Available format(s)
PDF
Category
Public-key cryptography
Publication info
Preprint.
History
2020-01-26: last updated
2020-01-26: published
Short URL
https://ia.cr/2020/076
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2020/076,
      author = {Charbel Saliba and Laura Luzzi and Cong Ling},
      title = {Wyner-Ziv reconciliation for key exchange based on Ring-LWE},
      howpublished = {Cryptology {ePrint} Archive, Paper 2020/076},
      year = {2020},
      url = {https://eprint.iacr.org/2020/076}
}
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