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Deterministic superimposed coding with applications to pattern matching

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1 Author(s)
Indyk, P. ; Dept. of Comput. Sci., Stanford Univ., CA, USA

A superimposed code is a set of binary vectors having the property that no vector is contained in a boolean sum (i.e. bitwise OR) of a small number of others. Such codes are used in information retrieval for constructing so-called signature files; they also have applications in other areas. In this paper we introduce a new notion of data-dependent superimposed codes and give a deterministic algorithm for constructing short such codes. We then show that these codes can be used to achieve an almost optimal de-randomization of several pattern matching algorithms, including the almost-linear algorithm for tree pattern matching developed recently. Thus, we give the first almost-linear time deterministic algorithms for these problems

Published in:

Foundations of Computer Science, 1997. Proceedings., 38th Annual Symposium on

Date of Conference:

20-22 Oct 1997

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