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Uniqueness of optimal mod 3 polynomials for parity

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Publication:962998
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DOI10.1016/j.jnt.2009.08.016zbMath1200.11059OpenAlexW2077826223MaRDI QIDQ962998

Frederic Green, Amitabha Roy

Publication date: 8 April 2010

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2009.08.016


zbMATH Keywords

quadratic formsExponential sumsBoolean circuit complexitytight bounds


Mathematics Subject Classification ID

Estimates on exponential sums (11L07)


Related Items (1)

Block-symmetric polynomials correlate with parity better than symmetric



Cites Work

  • Unnamed Item
  • Unnamed Item
  • Estimation of certain exponential sums arising in complexity theory
  • Incomplete quadratic exponential sums in several variables
  • The correlation between parity and quadratic polynomials mod \(3\)
  • Threshold circuits of bounded depth
  • Bounds on an exponential sum arising in Boolean circuit complexity
  • On the correlation of symmetric functions
  • On the Correlation Between Parity and Modular Polynomials


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