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This paper is concerned with practical implementations of approximate stringdictionaries that allow edit errors. In this problem, we have as input adictionary $D$ of $d$ strings of total length $n$ over an alphabet of size$\sigma$. Given a bound $k$ and a pattern $x$ of length $m$, a query has toreturn all the strings of the dictionary which are at edit distance at most $k$from $x$, where the edit distance between two strings $x$ and $y$ is defined asthe minimum-cost sequence of edit operations that transform $x$ into $y$. Thecost of a sequence of operations is defined as the sum of the costs of theoperations involved in the sequence. In this paper, we assume that each ofthese operations has unit cost and consider only three operations: deletion ofone character, insertion of one character and substitution of a character byanother. We present a practical implementation of the data structure werecently proposed and which works only for one error. We extend the scheme to$2\leq k<m$. Our implementation has many desirable properties: it has a veryfast and space-efficient building algorithm. The dictionary data structure iscompact and has fast and robust query time. Finally our data structure issimple to implement as it only uses basic techniques from the literature,mainly hashing (linear probing and hash signatures) and succinct datastructures (bitvectors supporting rank queries).

Simple, compact and robust approximate string dictionary