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Arion: Arithmetization-Oriented Permutation and Hashing from Generalized Triangular Dynamical Systems. (arXiv:2303.04639v1 [cs.CR])
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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), which provides a new algebraic framework for constructing
(keyed) permutation using polynomials over a finite field. At round level Arion
is the first design which is instantiated using the new GTDS. We provide
extensive security analysis of our construction including algebraic
cryptanalysis (e.g. …
design framework function hash hash function hashing large system systems