[Resource Topic] 2025/1893: Poseidon2b: A Binary Field Version of Poseidon2

Welcome to the resource topic for 2025/1893

Title:
Poseidon2b: A Binary Field Version of Poseidon2

Authors: Lorenzo Grassi, Dmitry Khovratovic, Katharina Koschatko, Christian Rechberger, Markus Schofnegger, Verena Schröppel

Abstract:

We present Poseidon2b, a version of Poseidon2 defined over binary extension fields. It is specifically designed to inherit many of the circuit-friendly properties of its prime field version, and to be used together with binary extension field proving systems such as Binius. Benchmarking demonstrates the merits around proof size, proving time, and especially verification time.

We also revisit recent attacks on Poseidon and Poseidon2 and discuss their applicability in the binary field extension setting, in addition to analyzing attack vectors that were not applicable in the prime field setting. In particular, we lay special focus on algebraic cryptanalysis and subspace trails, techniques which resulted in attacks on initial versions of Poseidon defined over binary extension fields.

ePrint: https://eprint.iacr.org/2025/1893

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