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  • 标题:Communication Complexity with Defective Randomness
  • 本地全文:下载
  • 作者:Marshall Ball ; Oded Goldreich ; Tal Malkin
  • 期刊名称:Electronic Colloquium on Computational Complexity
  • 印刷版ISSN:1433-8092
  • 出版年度:2020
  • 卷号:2020
  • 页码:1-10
  • 出版社:Universität Trier, Lehrstuhl für Theoretische Computer-Forschung
  • 摘要:Starting with the two standard model of randomized communication complexity, we study the communication complexity of functions when the protocol has access to a defective source of randomness. Specifically, we consider both the public-randomness and private-randomness cases, while replacing the commonly postulated perfect randomness with distributions over ` bit strings that have min-entropy at least k ≤ `. We present general upper and lower bounds on the communication complexity in these cases, where the bounds are typically linear in `−k and also depend on the size of the fooling set for the function being computed and on its standard randomized complexity.
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