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Weight class distributions of de Bruijn sequences

✍ Scribed by Gregory L. Mayhew


Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
275 KB
Volume
126
Category
Article
ISSN
0012-365X

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✦ Synopsis


Order n de Bruijn sequences are the period 2" binary sequences produced by an n stage feedback shift register. The de Bruijn sequences have good randomness and complexity properties. Theorems are given on the weight class distributions of the generator functions. Data that extend the work of Fredricksen are also presented.


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A binary span k de Bruijn sequence is a binary sequence of period 2 k such that each k-tuple of bits occurs exactly once as a subsequence in a period of the sequence. The de Bruijn sequences have applications in position sensing and range finding, as well as in other areas, by virtue of this subsequ