Linear sets in finite projective spaces (Q712221)

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scientific article; zbMATH DE number 5807480

Language	Label	Description	Also known as
English	Linear sets in finite projective spaces	scientific article; zbMATH DE number 5807480

Statements

scholarly article

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Linear sets in finite projective spaces (English)

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Discrete Mathematics

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publication date

28 October 2010

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zbMATH Keywords

finite field

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projective space

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subgeometry

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MaRDI profile type

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full work available at URL

https://doi.org/10.1016/j.disc.2009.04.007

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A new semifield flock

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Spreads of PG(3, q) and ovoids of polar spaces

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The number of directions determined by a function over a finite field.

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Linear \((q+1)\)-fold blocking sets in \(\text{PG} (2,q^4)\)

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On the classification of semifield flocks.

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A geometric construction of finite semifields

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Translation ovoids of generalized quadrangles and hexagons

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On the number of slopes of the graph of a function defined on a finite field

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Scattered spaces with respect to a spread in \(\text{PG}(n,q)\)

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On two-intersection sets with respect to hyperplanes in projective spaces

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On multiple blocking sets in Galois planes

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Minimal blocking sets in projective spaces of square order

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\(\mathbb F _q\)-linear blocking sets in \(PG(2,q^4)\)

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The twisted cubic in \(PG(3,q)\) and translation spreads in \(H\)(\(q\))

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Blocking sets in translation planes

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The Geometry of Two-Weight Codes

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Spreads in \(H(q)\) and 1-systems of \(Q(6,q)\)

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On the sporadic semifield flock

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Semifield planes of order \(q^4\) with kernel \(\mathbb F_{q^2}\) and center \(\mathbb F_q\)

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New families of ovoids in \(O\) \(+_ 8\)

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Hermitian indicator sets

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Infinite families of new semifields

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On the multiplication of some semifields of order \(q^6\)

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Reguli and pseudo-reguli in \(PG(3,s^2)\)

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Flocks of quadratic cones, generalized quadrangles and translation planes

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The non-existence of ovoids in \(O_ \nu (q)\)

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Semifields of order \(q^6\) with left nucleus \(\mathbb F_{q^3}\) and center \(\mathbb F_q\)

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On a generalization of cyclic semifields

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Ovoids and Translation Planes

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Spreads, Translation Planes and Kerdock Sets. I

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Sublines of prime order contained in the set of internal points of a conic

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Scattered spaces with respect to spreads, and eggs in finite projective spaces

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Linear \(k\)-blocking sets

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Translation ovoids

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Flocks, ovoids of \(Q(4,q)\) and designs

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Translation dual of a semifield

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A geometric characterisation of linear \(k\)-blocking sets

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Blocking sets of size \(q^t + q^{t-1} + 1\)

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Blocking sets and derivable partial spreads

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On the twisted cubic of \(\text{PG}(3, q)\)

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Translation ovoids of orthogonal polar spaces

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On \(\mathbb F_q\)-linear sets of \(\text{PG}(3,q^{3})\) and semifields

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On semi-fields of type \((q^{2n},q^n,q^2,q)\), \(n\) odd

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Translation spreads of the split Cayley hexagon

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Translation ovoids and spreads of the generalized hexagon \(H(q)\)

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Spreads and ovoids in finite generalized quadrangles

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Ovoids of parabolic spaces

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On small blocking sets

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Blocking sets in André planes

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On linear blocking sets in \(PG(2,q^{t})\)

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Small blocking sets in \(PG(2,p^3)\)

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Small minimal blocking sets in \(\text{PG}(2,q^3)\)

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Linear point sets and Rédei type \(k\)-blocking sets in \(\mathrm{PG}(n,q)\)

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On 1-blocking sets in \(PG(n,q), n\geq 3\)

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On small blocking sets and their linearity

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Blocking sets in Desarguesian affine and projective planes

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On the spectrum of minimal blocking sets in \(\text{PG}(2,q)\)

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Small blocking sets in higher dimensions

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Polar spaces, generalized hexagons and perfect codes

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Ovoids and spreads of finite classical polar spaces

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Generalized quadrangles and flocks of cones

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Generalized quadrangles of order \((s,s^ 2)\). II

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Sur la trialité et certains groupes qui s'en déduisent

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Small point sets of PG\((2, q)\) intersecting each \(k\)-space in 1 modulo \(\sqrt q\) points

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1016/J.DISC.2009.04.007

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Sitelinks

Mathematics(1 entry)

mardi Publication:712221

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