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An efficient algorithm for generation of de Bruijn sequences over ring F_2+uF_2 by raising stage

Wu Bo

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Abstract

A sur-homomorphism D from n-stage de Bruijn-Good graph to (n-1)-stage de Bruijn-Good graph over ring F2+uF2 was defined. It was proved an algorithm for generating n-stage de Bruijn sequences from a given feedback function of (n-1)-stage de Bruijn sequences. Furthermore,an efficient algorithm for generating n-stage de Bruijn sequences from a given feedback function of lower m-stage de Bruijn sequences by raising stage was given.

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What this paper is about

A sur-homomorphism D from n-stage de Bruijn-Good graph to (n-1)-stage de Bruijn-Good graph over ring F2+uF2 was defined. It was proved an algorithm for generating n-stage de Bruijn sequences from a given feedback function of (n-1)-stage de Bruijn sequences. Furthermore,an efficient algorithm for generating n-stage de Bruijn sequences from a given feedback function of lower m-stage de Bruijn sequences by raising stage was given.

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Available abstract

A sur-homomorphism D from n-stage de Bruijn-Good graph to (n-1)-stage de Bruijn-Good graph over ring F2+uF2 was defined. It was proved an algorithm for generating n-stage de Bruijn sequences from a given feedback function of (n-1)-stage de Bruijn sequences. Furthermore,an efficient algorithm for generating n-stage de Bruijn sequences from a given feedback function of lower m-stage de Bruijn sequences by raising stage was given.

Key concepts: De Bruijn sequence, De Bruijn graph, Mathematics, Combinatorics, Stage (stratigraphy), Homomorphism, Graph, Ring (chemistry)

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