Longest Common Extensions in Sublinear Space

@inproceedings{Bille2015LongestCE,
  title={Longest Common Extensions in Sublinear Space},
  author={Philip Bille and Inge Li G{\o}rtz and Mathias B{\ae}k Tejs Knudsen and Moshe Lewenstein and Hjalte Wedel Vildh{\o}j},
  booktitle={CPM},
  year={2015}
}
The longest common extension problem (LCE problem) is to construct a data structure for an input string \(T\) of length \(n\) that supports \({\mathrm {LCE}}(i,j)\) queries. Such a query returns the length of the longest common prefix of the suffixes starting at positions \(i\) and \(j\) in \(T\). This classic problem has a well-known solution that uses \(\mathcal {O}(n)\) space and \(\mathcal {O}(1)\) query time. In this paper we show that for any trade-off parameter \(1 \le \tau \le n\), the… 
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