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pro vyhledávání: '"Steiner, Matthias"'
Autor:
Steiner, Matthias Johann
Ciminion and Hydra are two recently introduced symmetric key Pseudo-Random Functions for Multi-Party Computation applications. For efficiency both primitives utilize quadratic permutations at round level. Therefore, polynomial system solving-based at
Externí odkaz:
http://arxiv.org/abs/2405.05040
Autor:
Steiner, Matthias Johann
Arora & Ge introduced a noise-free polynomial system to compute the secret of a Learning With Errors (LWE) instance via linearization. Albrecht et al. later utilized the Arora-Ge polynomial model to study the complexity of Gr\"obner basis computation
Externí odkaz:
http://arxiv.org/abs/2402.07852
Autor:
Steiner, Matthias Johann
Publikováno v:
IACR Trans. Symm. Cryptol. 2024(1) 357-411
For Arithmetization-Oriented ciphers and hash functions Gr\"obner basis attacks are generally considered as the most competitive attack vector. Unfortunately, the complexity of Gr\"obner basis algorithms is only understood for special cases, and it i
Externí odkaz:
http://arxiv.org/abs/2310.03637
Autor:
Steiner, Matthias Johann
Publikováno v:
AAECC (2024)
Let $\mathbb{F}_q$ be a finite field of characteristic $p$. In this paper we prove that the $c$-Boomerang Uniformity, $c \neq 0$, for all permutation monomials $x^d$, where $d > 1$ and $p \nmid d$, is bounded by $d^2$. Further, we utilize this bound
Externí odkaz:
http://arxiv.org/abs/2307.12621
In this paper we propose the (keyed) permutation Arion and the hash function ArionHash over $\mathbb{F}_p$ for odd and particularly large primes. The design of Arion is based on the newly introduced Generalized Triangular Dynamical System (GTDS), whi
Externí odkaz:
http://arxiv.org/abs/2303.04639
Autor:
Roy, Arnab, Steiner, Matthias Johann
In recent years a new class of symmetric-key primitives over $\mathbb{F}_p$ that are essential to Multi-Party Computation and Zero-Knowledge Proofs based protocols have emerged. Towards improving the efficiency of such primitives, a number of new blo
Externí odkaz:
http://arxiv.org/abs/2204.01802
Publikováno v:
In Geomorphology 1 October 2024 462
Autor:
Steiner, Matthias Johann
In algebraic geometry there is a well-known categorical equivalence between the category of normal proper integral curves over a field $k$ and the category of finitely generated field extensions of $k$ of transcendence degree $1$. In this paper we ge
Externí odkaz:
http://arxiv.org/abs/2107.02236
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