Partitions of a symmetric matrix over a finite field

Let GF(p w ) denote the finite field with p w elementsp odd. In this paper formulas are given for calculating the number of solutions X 1 ,...X n to matrix equations of the form where B is a symmetric matrix. The two cases in which the ranks of the , are specified as arbitrary, but fixed, as well as...

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Veröffentlicht in:Linear & multilinear algebra 1981-11, Vol.10 (4), p.329-341
Hauptverfasser: Duane Porter, A., Mousouris, Nick
Format: Artikel
Sprache:eng
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Zusammenfassung:Let GF(p w ) denote the finite field with p w elementsp odd. In this paper formulas are given for calculating the number of solutions X 1 ,...X n to matrix equations of the form where B is a symmetric matrix. The two cases in which the ranks of the , are specified as arbitrary, but fixed, as well as when the ranks are not specified, are both discussed.
ISSN:0308-1087
1563-5139
DOI:10.1080/03081088108817423