Theoretical computer science · Oct 6, 2026

Deterministic polynomial factorization over prime fields

Gives a uniform deterministic algorithm that completely factors every nonzero dense degree-n polynomial over a prime field 𝔽p, including multiplicities, in bit complexity polynomial in (n+1)log⁡p(n+1)\log p. The prime is supplied in binary. No randomness, integer-factorization or primitive-root oracle, or GRH assumption is required.

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