A property of the inverse of a subspace of a finite field

DOI10.1016/J.FFA.2014.05.002zbMath1332.11108arXiv1312.1293OpenAlexW3100071302MaRDI QIDQ740315

Sandro Mattarei

Publication date: 2 September 2014

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

Full work available at URL: https://arxiv.org/abs/1312.1293

zbMATH Keywords

arccapsubspacefinite fieldinverse

Mathematics Subject Classification ID

Finite fields (field-theoretic aspects) (12E20) Structure theory for finite fields and commutative rings (number-theoretic aspects) (11T30) Combinatorial structures in finite projective spaces (51E20)

Related Items (3)

On scattered linear sets of pseudoregulus type in \(\operatorname{PG}(1,q^{t})\) ⋮ A property of the inverse of a subspace of a finite field ⋮ Inversion and subspaces of a finite field

Cites Work

• Projective \(k\)-arcs and 2-level secret-sharing schemes
• Geometry of the inversion in a finite field and partitions of \(\mathrm{PG}(2^{k} - 1, q)\) in normal rational curves
• An application of the O'Nan-Scott theorem to the group generated by the round functions of an AES-like cipher
• A property of the inverse of a subspace of a finite field
• Inverse-closed additive subgroups of fields
• Inversion invariant additive subgroups of division rings
• The cyclic model for \(PG(n,q)\) and a construction of arcs
• Linear subspaces of finite fields with large inverse-closed subsets
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