Algebraic hardness versus randomness in low characteristic

  title={Algebraic hardness versus randomness in low characteristic},
  author={Robert Andrews},
  journal={Proceedings of the 35th Computational Complexity Conference},
  • Robert Andrews
  • Published 21 May 2020
  • Computer Science, Mathematics
  • Proceedings of the 35th Computational Complexity Conference
We show that lower bounds for explicit constant-variate polynomials over fields of characteristic p > 0 are sufficient to derandomize polynomial identity testing over fields of characteristic p. In this setting, existing work on hardness-randomness tradeoffs for polynomial identity testing requires either the characteristic to be sufficiently large or the notion of hardness to be stronger than the standard syntactic notion of hardness used in algebraic complexity. Our results make no… Expand
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