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arXiv:1203.1849 [math.CO]AbstractReferencesReviewsResources

Enumeration of Splitting Subspaces over Finite Fields

Sudhir R. Ghorpade, Samrith Ram

Published 2012-03-08Version 1

We discuss an elementary, yet unsolved, problem of Niederreiter concerning the enumeration of a class of subspaces of finite dimensional vector spaces over finite fields. A short and self-contained account of some recent progress on this problem is included and some related problems are discussed.

Comments: 10 pages; to appear in the Proceedings of AGCT (Luminy, France, 2011)
Journal: Arithmetic, Geometry, Cryptography and Coding Theory, 49-58, Contemp. Math. 574, Amer. Math. Soc., Providence, RI, 2012
Categories: math.CO, cs.IT, math.IT
Subjects: 15A03, 11T06, 05E99, 11T71
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