Construction of De Bruijn Sequences from l-sequences
Ming Li, Yupeng Jiang, Dongdai Lin
Abstract
Ming Li, Yupeng Jiang, Dongdai Lin
Abstract
De Bruijn sequences and l-sequences are defined to be the maximum-period sequences generated by feedback shift registers (FSRs) and feedback with carry shift registers (FCSRs), respectively. In this paper we give some relationships between de Bruijn sequences and l-sequences, and we propose an efficient method to generate de Bruijn sequences from l-sequences. The experimental results indicate that this method should be able to generate de Bruijn sequences of any order.
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De Bruijn sequences and l-sequences are defined to be the maximum-period sequences generated by feedback shift registers (FSRs) and feedback with carry shift registers (FCSRs), respectively. In this paper we give some relationships between de Bruijn sequences and l-sequences, and we propose an efficient method to generate de Bruijn sequences from l-sequences. The experimental results indicate that this method should be able to generate de Bruijn sequences of any order.
Key concepts: De Bruijn sequence, De Bruijn graph, Sequence (biology), Computer science, Shift register, Order (exchange), Carry (investment), Combinatorics