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Zero-Dimensional Gröbner Bases for Rescue-XLIX
March 22, 2024, 9:42 p.m. |
IACR News www.iacr.org
ePrint Report: Zero-Dimensional Gröbner Bases for Rescue-XLIX
Matthias Johann Steiner
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 …
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