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 |
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Hauptverfasser: | , |
Format: | Artikel |
Sprache: | eng |
Online-Zugang: | Volltext |
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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. |
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ISSN: | 0308-1087 1563-5139 |
DOI: | 10.1080/03081088108817423 |