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Evolutionary Construction of de Bruijn Sequences



Meltem Sonmez Turan


A binary de Bruijn sequence of order n is a cyclic sequence of period 2^n, in which each n-bit pattern appears exactly once. These sequences are commonly used in applications such as stream cipher design, pseudo-random number generation, 3-D pattern recognition, network modeling, mainly due to their good statistical properties. Constructing de Bruijn sequences is of interest and well studied in the literature. In this study, we propose a new randomized construction method based on genetic algorithms. The method models de Bruijn sequences as special type of traveling salesman tours and tries to find optimal solutions to this special type of the traveling salesman problem (TSP). We present some experimental results for n
Proceedings Title
Proceedings of the 4th ACM Workshop on Security and Artificial Intelligence
Conference Dates
October 21, 2011
Conference Location
Chicago, IL
Conference Title
4th Workshop on Artificial Intelligence and Security


De Bruijn sequences, genetic algorithms, traveling salesman problem


Sonmez, M. (2012), Evolutionary Construction of de Bruijn Sequences, Proceedings of the 4th ACM Workshop on Security and Artificial Intelligence, Chicago, IL, [online], (Accessed June 20, 2024)


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Created July 20, 2012, Updated February 19, 2017