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Generating De Bruijn Sequences:  (Make Corrections)  
An Efficient Implementation F.S. Annexstein



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Abstract: This paper presents a concise and efficient implementation of a method of producing De Bruijn sequences. The implementation is based on a recursive method due to Lempel [5]. We provide code for a function that for each pair of integers n # 2 and 0 x returns a unique De Bruijn sequence of order-n. The implementation requires only O(2 ) bit operations Index Terms---Shift register sequences, De Bruijn graphs, computational complexity, recursive algorithms, NESL programming language. (Update)

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0.6:   An Efficient Implementation of the D-Homomorphism for.. - Chang, Park, Kim, Song (1999)   (Correct)
0.1:   A Method for Constructing Decodable de Bruijn Sequences - Mitchell, Etzion, Paterson (1996)   (Correct)
0.1:   Construction of de Bruijn Sequences of Minimal Complexity - Etzion, Lempel (1984)   (Correct)

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BibTeX entry:   (Update)

@misc{ implementation-generating,
  author = "An Efficient Implementation",
  title = "Generating De Bruijn Sequences:",
  url = "citeseer.ist.psu.edu/745540.html" }
Citations (may not include all citations):
182   Algebraic Coding Theory (context) - Berlekamp - 1984
170   Shift Register Sequences (context) - Golomb - 1967
166   NESL: A Nested Data-Parallel Language - Blelloch - 1994
8   a Homomorphism of the De Bruijn Graph and Its Applications t.. (context) - Lempel - 1970
2   A Survey of Full Cycle Algorithms (context) - Fredrickson - 1982

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