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\iteman{io-port 02099446}
\itemau{Fedorova, M.S.}
\itemti{On inequalities for the parameters of combinatorial matrices of a special form.}
\itemso{Mosc. Univ. Comput. Math. Cybern. 2002, No. 2, 46-50 (2002); translation from Vestn. Mosk. Univ., Ser. XV 2002, No. 2, 45-49 (2002).}
\itemab
The paper considers the class of $2^k\times p$ matrices $B$ whose entries assume the values in the set $\{1,2, *\}$ of symbols such that the following conditions hold: (a) for any two rows with numbers $i_1$ and $i_2$, there exists a column with number $j$ such that $b_{i_1,j}=1$, $b_{i_2,j}=2$ or $b_{i_1,j}= 2$, $b_{i_2,j}=1$; (b) for any row with number $i$, the inequality $\sum_{j=1}^p b_{ij}\le t$ holds for a certain natural number $t$ given in advance; (c) in each row, the number of units does not exceed $k_0$, a given natural number. The author obtains lower estimates for the ratio $k/(t+k)$,
\itemrv{S. A. Vakhrameev (Moskva)}
\itemcc{}
\itemut{combinatorial matrices; Boolean function; lower estimate}
\itemli{}
\end