Abstract
The paper considers an N × n matrix (N ≥ n) over a field GF(2) that consists of random values with a distribution depending on a small parameter ε. The expansion is found in terms of the power of the parameter ε of the probability that the matrix rank is equal to n. Exact values of the first three coefficients are indicated.
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V. V. Masol, “Explicit representation of some coefficients in the expansion of the random matrix rank distribution in the field GF (2),” Theory of Stochastic Processes, No. 3-4, 122-126 (2000).
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Masol, V.V. Expansion in Terms of Power of a Small Parameter of the Maximum Rank Distribution of a Random Boolean Matrix. Cybernetics and Systems Analysis 38, 938–942 (2002). https://doi.org/10.1023/A:1022964526194
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DOI: https://doi.org/10.1023/A:1022964526194