The splitting subspace conjecture

DOI10.1016/j.ffa.2013.05.006zbMath1286.05007arXiv1208.0851OpenAlexW2026004935WikidataQ123166894 ScholiaQ123166894MaRDI QIDQ2447794

Yanyan Li

Publication date: 29 April 2014

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1208.0851

zbMATH Keywords

finite fieldsenumerationfinite-dimensional vector spaces\(q\)-Chu-Vandermonde identitysplitting subspaces

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Vector spaces, linear dependence, rank, lineability (15A03)

Related Items (17)

A triangular class of skew maximum-period polynomials ⋮ Polynomial matrices, splitting subspaces and Krylov subspaces over finite fields ⋮ Nonlinear vectorial primitive recursive sequences ⋮ Скрученные $\sigma$-разделимые линейные рекуррентные последовательности максимального периода ⋮ Set partitions, tableaux, and subspace profiles of regular diagonal operators ⋮ Enumeration of anti-invariant subspaces and Touchard's formula for the entries of the \(q\)-Hermite Catalan matrix ⋮ Representations of skew linear recurrent sequences of maximal period over finite field;Представления скрученных линейных рекуррентных последовательностей максимального периода над конечным полем ⋮ Splitting subspaces and a finite field interpretation of the Touchard-Riordan formula ⋮ An asymptotic formula for the number of irreducible transformation shift registers ⋮ On the number of irreducible linear transformation shift registers ⋮ A note on the multiple-recursive matrix method for generating pseudorandom vectors ⋮ Unimodular polynomial matrices over finite fields ⋮ Методы построения скрученных линейных рекуррентных последовательностей максимального периода, базирующиеся на факторизации многочленов Галуа в кольце матричных многочленов ⋮ Новые представления знаков скрученных ЛРП при помощи функции след, базирующиеся на некоммутативной теореме Гамильтона - Кэли ⋮ Splitting subspaces of linear operators over finite fields ⋮ Primitive transformation shift registers over finite fields ⋮ Enumeration of linear transformation shift registers

Cites Work

• Unnamed Item
• Primitive polynomials, Singer cycles and word-oriented linear feedback shift registers
• Block companion singer cycles, primitive recursive vector sequences, and coprime polynomial pairs over finite fields
• The multiple-recursive matrix method for pseudorandom number generation
• Enumeration of Splitting Subspaces over Finite Fields

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