Constant rank-distance sets of Hermitian matrices and partial spreads in Hermitian polar spaces

zbMath1300.05050arXiv1208.1903MaRDI QIDQ405107

John Sheekey, Michel Lavrauw, Frédéric Vanhove, Roderick Gow

Publication date: 4 September 2014

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1208.1903

zbMATH Keywords

Hermitian matrixHermitian varietypartial spreadrank-distance

Mathematics Subject Classification ID

Combinatorial aspects of finite geometries (05B25) Spreads and packing problems in finite geometry (51E23) Vector spaces, linear dependence, rank, lineability (15A03) Polar geometry, symplectic spaces, orthogonal spaces (51A50)

Related Items (6)

Dimensional dual hyperovals in classical polar spaces ⋮ A new family of linear maximum rank distance codes ⋮ Hermitian rank distance codes ⋮ Universality of the cokernels of random 𝑝-adic Hermitian matrices ⋮ A new upper bound for constant distance codes of generators on Hermitian polar spaces of type \(H(2d - 1, q^{2})\) ⋮ On symmetric and Hermitian rank distance codes

Uses Software

• GAP
• Magma

Cites Work

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