The Splitting Subspace Conjecture

We answer a question of Niederreiter concerning the enumeration of a class of subspaces of finite dimensional vector spaces over finite fields by proving a conjecture of Ghorpade and Ram.

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Bibliographic Details
Published in:Finite fields and their applications 2013-11, Vol.24, p.15-28
Main Authors: Chen, Eric, Tseng, Dennis
Format: Article
Language:English
Subjects:
Enumeration
Finite dimensional vector spaces
Finite fields
q-Chu–Vandermonde identity
Splitting subspaces
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Description
Summary:We answer a question of Niederreiter concerning the enumeration of a class of subspaces of finite dimensional vector spaces over finite fields by proving a conjecture of Ghorpade and Ram.
ISSN:1071-5797
1090-2465
DOI:10.1016/j.ffa.2013.05.006