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Summary: 198 IEEE TRANSACTIONS ON COMPUTERS, VOL. 46, NO. 2, FEBRUARY 1997
Generating De Bruijn Sequences:
An Efficient Implementation
F.S. Annexstein
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 < 2
n-2
returns a
unique De Bruijn sequence of order-n. The implementation requires
only O(2
n
) bit operations
Index Terms--Shift register sequences, De Bruijn graphs,
computational complexity, recursive algorithms, NESL programming
language.
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1 INTRODUCTION
THE use of shift registers to produce sequences of zeros and ones
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