Investigating the discrepancy property of de Bruijn sequences
نویسندگان
چکیده
The discrepancy of a binary string refers to the maximum (absolute) difference between number ones and zeroes over all possible substrings given string. We provide an investigation dozen simple constructions de Bruijn sequences as well based on linear feedback shift registers whose polynomials are primitive. Furthermore, we demonstrate that attain lower bound Θ(n) new construction attains previously known upper Θ(2nn). This extends work Cooper Heitsch [Discrete Mathematics, 310 (2010)].
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ژورنال
عنوان ژورنال: Discrete Mathematics
سال: 2022
ISSN: ['1872-681X', '0012-365X']
DOI: https://doi.org/10.1016/j.disc.2021.112780