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  • 标题:Circuit Complexity of Testing Square-Free Numbers
  • 本地全文:下载
  • 作者:Anna Bernasconi ; Igor E. Shparlinski
  • 期刊名称:Electronic Colloquium on Computational Complexity
  • 印刷版ISSN:1433-8092
  • 出版年度:1998
  • 卷号:1998
  • 出版社:Universität Trier, Lehrstuhl für Theoretische Computer-Forschung
  • 摘要:In this paper we extend the area of applications of the Abstract Harmonic Analysis to the field of Boolean function complexity. In particular, we extend the class of functions to which a spectral technique developed in a series of works of the first author can be applied. This extension allows us to prove that testing square-free numbers by unbounded fan-in circuits of bounded depth requires a superpolynomial size. This implies the same estimate for the integer factorization problem.
  • 关键词:circuit complexity, Class ACo, Testing Square-Free Numbers
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