Published March 11, 2026 | Version v2

SHA-3 is Polynomial: Preimage Computation in P

Description

We prove that SHA-3 is in P by decomposition into finite polynomial-time oper- ations. As a direct corollary, we show that the preimage problem for SHA-3 is also in P, breaking its one-way function assumption.

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SHA_3_is_Polynomial__Preimage_Computation_in_P.pdf

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