Geodesic
On the number of irreducible coverings of an integer matrix
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 45 (2005) no. 5, pp. 935-940

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The metric (quantitative) properties of the set of coverings of an integer matrix are examined. an asymptotic estimate for the logarithm of the typical number of irredundant $\sigma$-coverings is obtained in the case when the number of rows in the matrix is not smaller than the number of its columns. as a consequence, a similar estimate is derived for the number of maximal conjunctions of a boolean function of $n$ variables with the number of zeros no less than $n$. 
@article{ZVMMF_2005_45_5_a10,
     author = {E. V. Dyukova},
     title = {On the number of irreducible coverings of an integer matrix},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {935--940},
     publisher = {mathdoc},
     volume = {45},
     number = {5},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_5_a10/}
}
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E. V. Dyukova. On the number of irreducible coverings of an integer matrix. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 45 (2005) no. 5, pp. 935-940. http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_5_a10/