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MR1445454 (98c:15005) 15A03
Masol, V. I. Asymptotics of the number of certain $k$-dimensional subspaces over a finite field. (Russian) Mat. Zametki 59 (1996), no. 5, 729--736, 799; translation in Math. Notes 59 (1996), no. 5-6, 525--530
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