[Resource Topic] 2024/193: MQ Does Not Reduce to TUOV

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Title:
MQ Does Not Reduce to TUOV

Authors: Laura Maddison

Abstract:

The submission of the Triangular Unbalanced Oil and Vinegar (TUOV) digital signature scheme to the NIST competition in 2023 claims that if the Multivariate Quadratic (MQ) problem (with suitable parameters) is hard, then the TUOV problem must also be hard. We show why the proof fails and why the claimed theorem cannot be true in general.

ePrint: https://eprint.iacr.org/2024/193

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