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De Bruijn sequence

 Home Mathematics Fields of mathematics Combinatorics Enumerative combinatorics
 0 By others on same topic  0 Discussions  1970-01-01  See my version
A De Bruijn sequence is a cyclic sequence containing a particular set of symbols in such a way that every possible subsequence of a given length appears exactly once. Specifically, for a sequence of length \( n \) over an alphabet of size \( k \), a De Bruijn sequence is a cyclic sequence of length \( k^n \) in which every possible string of length \( n \) made up of the symbols from the alphabet occurs as a contiguous subsequence.

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