On the orbits of Singer groups and their subgroups
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Publication:5960792
zbMath0998.20003MaRDI QIDQ5960792
Publication date: 25 April 2002
Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/122160
Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Asymptotic results on counting functions for algebraic and topological structures (11N45) Combinatorial aspects of finite geometries (05B25) Combinatorial structures in finite projective spaces (51E20)
Related Items (21)
On cutting blocking sets and their codes ⋮ Flag codes of maximum distance and constructions using Singer groups ⋮ The cyclic sieving phenomenon ⋮ Classification of the non-trivial \(2\)-\((v,k,\lambda)\) designs, with \((r,\lambda)=1\) and \(\lambda >1\), admitting a non-solvable flag-transitive automorphism group of affine type ⋮ Desarguesian spreads and field reduction for elements of the semilinear group ⋮ LDPC codes from the Hermitian curve ⋮ Distance distributions of cyclic orbit codes ⋮ Cyclic subspace codes via subspace polynomials ⋮ Automorphism groups and isometries for cyclic orbit codes ⋮ The geometry of elation groups of a finite projective space ⋮ Group theoretic characterizations of Buekenhout-Metz unitals in PG\((2,q^{2})\) ⋮ Eggs in finite projective spaces and unitals in translation planes ⋮ Cyclic orbit flag codes ⋮ Bounds for flag codes ⋮ On collineation groups of finite projective spaces containing a Singer cycle ⋮ 2-dimensional optical orthogonal codes from Singer groups ⋮ Spreads, arcs, and multiple wavelength codes ⋮ \(n\)-dimensional optical orthogonal codes, bounds and optimal constructions ⋮ On line covers of finite projective and polar spaces ⋮ The geometry of one-weight codes in the sum-rank metric ⋮ Constructive proof for the positivity of the orbit polynomial $O_d^{n,2}(q)$
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