The Splitting Subspace Conjecture

doi:10.1016/j.ffa.2013.05.006

Finite Fields and Their Applications

Volume 24, November 2013, Pages 15-28

https://doi.org/10.1016/j.ffa.2013.05.006 Get rights and content

Under an Elsevier user license

open archive

Abstract

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.

MSC

05A99

11T71

15A03

Keywords

Finite fields

Splitting subspaces

Finite dimensional vector spaces

q-Chu–Vandermonde identity

Enumeration