Paper 2023/744 Original: eprint.iacr.org/2023/744 ↗

On Extremal Algebraic Graphs and implementations of new cubic Multivariate Public Keys

Vasyl Ustimenko
Tymoteusz Chojecki
Michal Klisowski
Abstract

Algebraic Constructions of Extremal Graph Theory were efficiently used for the construction of Low Density Parity Check Codes for satellite communication, constructions of stream ciphers and Postquantum Protocols of Noncommutative cryptography and corresponding El Gamal type cryptosystems. We shortly observe some results in these applications and present idea of the usage of algebraic graphs for the development of Multivariate Public Keys (MPK). Some MPK schemes are presented at theoretical level, implementation of one of them is discussed.

Metadata
Available format(s)
PDF
Category
Public-key cryptography
Publication info
Preprint.
History
2023-05-23: last updated
2023-05-23: published
Short URL
https://ia.cr/2023/744
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2023/744,
      author = {Vasyl Ustimenko and Tymoteusz Chojecki and Michal Klisowski},
      title = {On Extremal Algebraic Graphs and implementations of new cubic Multivariate Public Keys},
      howpublished = {Cryptology {ePrint} Archive, Paper 2023/744},
      year = {2023},
      url = {https://eprint.iacr.org/2023/744}
}
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