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Publication - Dr Raphael Clifford

    Tight cell-probe bounds for online hamming distance computation


    Clifford, R, Jalsenius, MT & Sach, BG, 2013, ‘Tight cell-probe bounds for online hamming distance computation’. in: Proceedings of the Twenty-Fourth Annual ACM-SIAM Symposium on Discrete Algorithms, New Orleans, Louisiana, USA, January 6-8, 2013.. Society for Industrial and Applied Mathematics, New Orleans, pp. 664-674


    We show tight bounds for online Hamming distance computation in the cell-probe model with word size w. The task is to output the Hamming distance between a fixed string of length n and the last $n$ symbols of a stream. We give a lower bound of Omege(delta/w log n) time on average per output, where delta is the number of bits needed to represent an input symbol. We argue that this bound is tight within the model. The lower bound holds under randomisation and amortisation.

    Full details in the University publications repository