[Resource Topic] 2024/1808: Breaking BASS

Welcome to the resource topic for 2024/1808

Title:
Breaking BASS

Authors: Simon-Philipp Merz, Kenneth G. Paterson, Àlex Rodríguez García

Abstract:

We provide several attacks on the BASS signature scheme introduced by Grigoriev, Ilmer, Ovchinnikov and Shpilrain in 2023. We lay out a trivial forgery attack which generates signatures passing the scheme’s probabilistic signature verification with high probability. Generating these forgeries is faster than generating signatures honestly. Moreover, we describe a key-only attack which allows us to recover an equivalent private key from a signer’s public key. The time complexity of this recovery is asymptotically the same as that of signing messages.

ePrint: https://eprint.iacr.org/2024/1808

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