AKCN-E8: Compact and Flexible KEM  from Ideal Lattice

Zhengzhong JIn; Yunlei Zhao

Paper 2020/056

AKCN-E8: Compact and Flexible KEM from Ideal Lattice

Zhengzhong JIn and Yunlei Zhao

Abstract

A remarkable breakthrough in mathematics in recent years is the proof of the long-standing conjecture: sphere packing (i.e., packing unit balls) in the $E_8$ lattice is optimal in the sense of the best density \cite{V17} for sphere packing in $\mathbb{R}^8$. In this work, based on the $E_8$ lattice code, we design a mechanism for asymmetric key consensus from noise (AKCN), referred to as AKCN-E8, for error correction and key consensus. As a direct application of the AKCN-E8 code, we present highly practical key encapsulation mechanism (KEM) from the ideal lattice based on the ring learning with errors (RLWE) problem. Compared to the RLWE-based NewHope-KEM \cite{newhope-NIST}, which is a variant of NewHope-Usenix \cite{newhope15} and is now a promising candidate in the second round of NIST post-quantum cryptography (PQC) standardization competition, our AKCN-E8-KEM has the following advantages: * The size of shared-key is doubled.. * More compact ciphertexts, at the same or even higher security level. * More flexible parameter selection for tradeoffs among security, ciphertext size and error probability.

Metadata

Available format(s): PDF
Category: Cryptographic protocols
Publication info: Preprint. MINOR revision.
Keywords: post-quantum cryptography lattice KEM
Contact author(s): ylzhao @ fudan edu cn
History: 2020-01-22: last of 2 revisions; 2020-01-21: received; See all versions
Short URL: https://ia.cr/2020/056
License: CC BY

BibTeX

@misc{cryptoeprint:2020/056,
      author = {Zhengzhong JIn and Yunlei Zhao},
      title = {{AKCN}-E8: Compact and Flexible {KEM}  from Ideal Lattice},
      howpublished = {Cryptology {ePrint} Archive, Paper 2020/056},
      year = {2020},
      url = {https://eprint.iacr.org/2020/056}
}