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A new memoryless algorithm for de Bruijn sequences

โœ Scribed by A Ralston


Publisher
Elsevier Science
Year
1981
Tongue
English
Weight
632 KB
Volume
2
Category
Article
ISSN
0196-6774

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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

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In 1969 de Bruijn published a proof of the following fact: An a x ab x abc brick can be used to pack an A x B x C box if, and only if, the integers A, B, C are in some order a multiple of a, a multiple of ab, and a multiple of abc. We give a quick proof of this result based on the following elementa