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Denis Serre
Denis Serre
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Number of Skew Symmetric Matrices of fixfixed rank

NumberThe number of symmetric matrices of order $n$ and rank $r$ over finite fields has been counted e.g.

http://www.math.clemson.edu/~kevja/REU/2004/SymmetricRankRMatrices.pdf

Is the number of skew-symmetric matrices over finite fields of order $n$ and rank $r$ is known? If yes please provide some reference.

Number of Skew Symmetric Matrices of fix rank

Number of symmetric matrices of order $n$ and rank $r$ over finite fields has been counted e.g.

http://www.math.clemson.edu/~kevja/REU/2004/SymmetricRankRMatrices.pdf

Is the number of skew-symmetric matrices over finite fields of order $n$ and rank $r$ is known? If yes please provide some reference.

Number of Skew Symmetric Matrices of fixed rank

The number of symmetric matrices of order $n$ and rank $r$ over finite fields has been counted e.g.

http://www.math.clemson.edu/~kevja/REU/2004/SymmetricRankRMatrices.pdf

Is the number of skew-symmetric matrices over finite fields of order $n$ and rank $r$ is known? If yes please provide some reference.

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Singh
Singh
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Number of Skew Symmetric Matrices of fix rank

Number of symmetric matrices of order $n$ and rank $r$ over finite fields has been counted e.g.

http://www.math.clemson.edu/~kevja/REU/2004/SymmetricRankRMatrices.pdf

Is the number of skew-symmetric matrices over finite fields of order $n$ and rank $r$ is known? If yes please provide some reference.