Prefix table construction and conversion

The prefix table of a string x = x[1..n] is an array π = π[1..n] such that π[i] is the length of the longest substring beginning at i that equals a prefix of x. In this paper we describe and evaluate algorithms for prefix table construction, some previously proposed, others designed by us. We also describe and evaluate new linear-time algorithms for transformations between π and the border array. © 2013 Springer-Verlag.