On the distribution of de Bruijn sequences of given complexity |
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Abstract: | The distributiongamma (c, n)of de Bruijn sequences of ordernand linear complexitycis investigated. It is shown that forn geq 4, gamma (2^{n} - 1, n) equiv 0 pmod{8}, and fork geq 3, gamma (2^{2k} - 1,2k) equiv 0 pmod{l6}. It is also shown thatgamma (c, n) equiv 0 pmod{4}for allc, andn geq 3such thatcnis even. |
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