Paper 2024/468

Zero-Dimensional Gröbner Bases for Rescue-XLIX

Matthias Johann Steiner, University of Klagenfurt
Abstract

Rescue-XLIX is an Arithmetization-Oriented Substitution-Permutation Network over prime fields $\mathbb{F}_p$ which in one full round first applies a SPN based on $x \mapsto x^d$ followed by a SPN based on the inverse power map $x \mapsto x^\frac{1}{d}$. In a recent work, zero-dimensional Gröbner bases for SPN and Poseidon sponge functions have been constructed by utilizing weight orders. Following this approach we construct zero-dimensional Gröbner bases for Rescue-XLIX ciphers and sponge functions.

Metadata
Available format(s)
PDF
Category
Attacks and cryptanalysis
Publication info
Preprint.
Keywords
Gröbner basisSponge functionSubstitution-Permutation NetworkRescue-XLIXRescue-Prime
Contact author(s)
matthias steiner @ aau at
History
2024-03-22: approved
2024-03-20: received
See all versions
Short URL
https://ia.cr/2024/468
License
Creative Commons Attribution
CC BY

BibTeX

@misc{cryptoeprint:2024/468,
      author = {Matthias Johann Steiner},
      title = {Zero-Dimensional Gröbner Bases for Rescue-{XLIX}},
      howpublished = {Cryptology {ePrint} Archive, Paper 2024/468},
      year = {2024},
      url = {https://eprint.iacr.org/2024/468}
}
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