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A Class of de Bruijn Sequences

✍ Scribed by Li, Chaoyun; Zeng, Xiangyong; Li, Chunlei; Helleseth, Tor

Book ID: 126577252
Publisher: IEEE
Year: 2014
Tongue: English
Weight: 235 KB
Volume: 60
Category: Article
ISSN: 0018-9448
DOI: 10.1109/TIT.2014.2361522

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Weight class distributions of de Bruijn

Weight class distributions of de Bruijn sequences

✍ Gregory L. Mayhew 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 275 KB

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 Fredric

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Let (x t ) be an n-periodic sequence in which the first n elements are drawn i.i.d. according to some rational distribution. We prove there exists a constant C such that whenever m ln m Cn, with probability close to 1, there exists an automaton of size m that matches the sequence at almost all stage

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The cycle structure of the "connection" of feedback logics is applied to construct more polynomials which generate de Bruijn sequences.