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Journal article

New upper bounds on the Boolean circuit complexity of symmetric functions

Demenkov E, Kojevnikov A, Kulikov A, Yaroslavtsev G ...see all

Information Processing Letters, vol. 110, issue 7 (2010) pp. 264-267

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In this note, we present improved upper bounds on the circuit complexity of symmetric Boolean functions. In particular, we describe circuits of size 4.5 n + o (n) for any symmetric function of n variables, as well as circuits of size 3n for MOD3n function. ?? 2010 Elsevier B.V. All rights reserved.

Author-supplied keywords

  • Boolean circuit complexity
  • Computational complexity
  • Modular functions
  • Symmetric functions
  • Upper bounds

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  • Alexander KulikovAcademic University, Russian Academy of Sciences

  • E. Demenkov

  • A. Kojevnikov

  • G. Yaroslavtsev

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