On the Bitprobe Complexity of Two Probe Adaptive Schemes Storing Two Elements

  • Deepanjan KeshEmail author
  • Vidya Sagar Sharma
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 11394)


In the adaptive bitprobe model, consider the following set membership problem – store subsets of size at most two from an universe of size m, and answer membership queries using two bitprobes. Radhakrishnan et al. [3] proposed a scheme for the problem which takes \(\mathcal {O}(m^{2/3})\) amount of space, and conjectured that this is also the lower bound for the problem. We propose a proof of the lower bound for the problem, but for a restricted class of schemes. This proof hopefully makes progress over the ideas proposed by Radhakrishnan et al. [3] and [4] towards the conjecture.


Data structures Bitprobe model Adaptive scheme Lower bound 



The authors would like to thank Protyai Ghosal for useful insights and discussions throughout the duration of the work.


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Authors and Affiliations

  1. 1.Department of Computer Science and EngineeringIndian Institute of Technology GuwahatiGuwahatiIndia
  2. 2.School of Technology and Computer ScienceTata Institute of Fundamental ResearchMumbaiIndia

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