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Title:
Zero-Dimensional Gröbner Bases for Rescue-XLIX
Authors: Matthias Johann Steiner
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.
ePrint: https://eprint.iacr.org/2024/468
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