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  • 标题:The Communication Complexity of Gap Hamming Distance
  • 本地全文:下载
  • 作者:Alexander A. Sherstov
  • 期刊名称:Electronic Colloquium on Computational Complexity
  • 印刷版ISSN:1433-8092
  • 出版年度:2011
  • 卷号:2011
  • 出版社:Universität Trier, Lehrstuhl für Theoretische Computer-Forschung
  • 摘要:In the gap Hamming distance problem, two parties must determine whether their respective strings xy01n are at Hamming distance less than n2−n or greater than n2+n In a recent tour de force, Chakrabarti and Regev (STOC '11) proved the long-conjectured (n) bound on the randomized communication complexity of this problem. In follow-up work several months ago, Vidick (2010; ECCC TR11-051) discovered a simpler proof. We contribute a new proof, which is simpler yet and a page-and-a-half long.
  • 关键词:Communication complexity, Gap Hamming distance, Talagrand
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