A Two Query Adaptive Bitprobe Scheme Storing Five Elements

We are studying the adaptive bitprobe model to store an arbitrary subset S of size at most five from a universe U of size m and answer the membership queries of the form "Is x in S?" in two bitprobes. In this paper, we present a data structure for the aforementioned problem. Our data struc...

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Veröffentlicht in:arXiv.org 2019-10
Hauptverfasser: Mirza Galib Anwarul Husain Baig, Kesh, Deepanjan, Sodani, Chirag
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Sprache:eng
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Zusammenfassung:We are studying the adaptive bitprobe model to store an arbitrary subset S of size at most five from a universe U of size m and answer the membership queries of the form "Is x in S?" in two bitprobes. In this paper, we present a data structure for the aforementioned problem. Our data structure takes O(m^{10/11}) space. This result improves the non-explicit result by Garg and Radhakrishnan [2015] which takes O(m^{20/21}) space, and the explicit result by Garg [2016] which takes O(m^{18/19} ) space for the aforementioned set and query sizes.
ISSN:2331-8422