Geodesic
Four infinite series of $k$-configurations
Matematičeskie voprosy kriptografii, Tome 4 (2013), pp. 65-75.

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We suggest an approach to the construction of $k$-configurations on the countable (or finite) set $X$. If $X$ is finite then $k$-configuration is a family of subsets in $X$ with the incidence matrix $L\in GL(|X|,2)$ such that $L$ and $L^{-1}$ have exactly $k$ ones in all rows and columns. 
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F. M. Malyshev. Four infinite series of $k$-configurations. Matematičeskie voprosy kriptografii, Tome 4 (2013), pp. 65-75. http://geodesic.mathdoc.fr/item/MVK_2013_4_a4/

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