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arXiv · 1812.04802

An Improved Scheme in the Two Query Adaptive Bitprobe Model

Mirza Galib Anwarul Husain Baig·Deepanjan Kesh·Chirag Sodani
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Abstract

In this paper, we look into the adaptive bitprobe model that stores subsets of size at most four from a universe of size m, and answers membership queries using two bitprobes. We propose a scheme that stores arbitrary subsets of size four using O(m^{5/6}) amount of space. This improves upon the non-explicit scheme proposed by Garg and Radhakrishnan [Garg2015] which uses O(m^{16/17}) amount of space, and the explicit scheme proposed by Garg [Thesis2015] which uses O(m^{14/15}) amount of space.

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Mirza Galib Anwarul Husain Baig, Deepanjan Kesh, Chirag Sodani. 2018-12-12. An Improved Scheme in the Two Query Adaptive Bitprobe Model. https://arxiv.org/abs/1812.04802

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