Geodesic
On the number of ordered pairs of $l$-balanced sets of length $n$
Diskretnaya Matematika, Tome 7 (1995) no. 3, pp. 146-156 
Yu. V. Tarannikov. On the number of ordered pairs of $l$-balanced sets of length $n$. Diskretnaya Matematika, Tome 7 (1995) no. 3, pp. 146-156. http://geodesic.mathdoc.fr/item/DM_1995_7_3_a12/
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     author = {Yu. V. Tarannikov},
     title = {On the number of ordered pairs of $l$-balanced sets of length $n$},
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     pages = {146--156},
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     volume = {7},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DM_1995_7_3_a12/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

We introduce the notion of ordered pairs of $l$-balanced binary vectors of length $n$. This notion characterizes the closeness of the pair of vectors in a natural way. We give exact and asymptotic formulae for the cardinality of the set of all ordered pairs of $l$-balanced vectors of length $n$.This work is supported by the Russian Foundation for Fundamental Investigations, grant 93–01–1527.