The sufficient condition of sign conversion for matrices over a finite field (Q493885)

A matrix \(A\) is called sign convertible if \(\operatorname{per}(A)=\det(X\circ A)\), where \(\circ\) is an element-by-element multiplication and \(X\) is a matrix whose elements are \(1\)'s and \(-1\)'s. In the paper for matrices over finite fields with a large number of nonzero elements, a sufficient condiditon for sign conversion is given.