On the existence of balanced generalized de Bruijn sequences

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چکیده

A balanced generalized de Bruijn sequence with parameters (n,l,k) is a cyclic of n bits such that (a) the number 0's equals 1's, and (b) each substring length l occurs at most k times. We determine necessary sufficient conditions on n,l, for existence sequence.

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ژورنال

عنوان ژورنال: Discrete Mathematics

سال: 2023

ISSN: ['1872-681X', '0012-365X']

DOI: https://doi.org/10.1016/j.disc.2023.113487