Geodesic
The sufficient condition of sign conversion for matrices over a finite field
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 1 (2015), pp. 51-54

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A sign conversion for matrices over finite fields is studied. The sufficient condition for sign conversion between permanent and determinant functions is obtained for matrices with large number of nonzero elements. 
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     author = {M. V. Budrevich},
     title = {The sufficient condition of sign conversion for matrices over a finite field},
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M. V. Budrevich. The sufficient condition of sign conversion for matrices over a finite field. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 1 (2015), pp. 51-54. http://geodesic.mathdoc.fr/item/VMUMM_2015_1_a8/