Bivectors over a Finite Field
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AbstractLet U be an n -dimensional vector space over a finite field of q elements. The number of elements of Λ2U of each irreducible length is found using the isomorphism of Λ2U with Hn, the space of n x n skew-symmetric matrices, and results due to Carlitz and MacWilliams on the number of skew-symmetric matrices of any given rank.
2019 ◽
Vol 19
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pp. 2050086
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2011 ◽
Vol 85
(1)
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pp. 19-25
2009 ◽
Vol DMTCS Proceedings vol. AK,...
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2019 ◽
Vol 53
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pp. 23-27
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2018 ◽
Vol 17
(10)
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pp. 1850189
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2004 ◽
Vol 2004
(29)
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pp. 1533-1541
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