Some algebraic properties of finite binary sequences
Filipczak, Małgorzata ; Filipczak, Tomasz
Tatra Mountains Mathematical Publications, Tome 65 (2016), / Harvested from Mathematical Institute
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We study properties of differences of fi…nite binary sequences witha fi…xed number of ones. We show that any binary sequence consisting of $m$ terms (except of the sequence $(1, 0, \ldots, 0)$) can be presented as a difference of two sequences having exactly $n$ ones, whenever $\frac{1}{4} m < n < \frac{3}{4}m$.

Publié le : 2016-01-01
DOI : https://doi.org/10.2478/tatra.v65i0.387 
@article{387,
     title = {Some algebraic properties of finite binary sequences},
     journal = {Tatra Mountains Mathematical Publications},
     volume = {65},
     year = {2016},
     doi = {10.2478/tatra.v65i0.387},
     language = {EN},
     url = {http://dml.mathdoc.fr/item/387}
}

Filipczak, Małgorzata; Filipczak, Tomasz. Some algebraic properties of finite binary sequences. Tatra Mountains Mathematical Publications, Tome 65 (2016) . doi : 10.2478/tatra.v65i0.387. http://gdmltest.u-ga.fr/item/387/