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In this paper, we describe a new infinite family of $\frac{q^{2}-1}{2}$-tight sets in the hyperbolic quadrics $\mathcal{Q}^{+}(5,q)$, for $q \equiv 5 \mbox{ or } 9 \bmod{12}$.
Tactical decompositions and orbits of projective groups
P.J. Cameron and R.A. Liebler · 1982
Earlier work this paper cites.
Tight pointsets in finite generalized quadrangles
S. Payne · 1987
Earlier work this paper cites.
Cameron–Liebler line classes in PG ( 3 , q ) {\rm PG}(3,q)
T. Penttila · 1991
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Interlacing eigenvalues and graphs
W.H. Haemers · 1995
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Sets of type ( m , n ) (m,n) in the affine and projective planes of order nine
T. Penttila and G.F. Royle · 1995
Earlier work this paper cites.
Finite Fields
R. Lidl and H. Niederreiter · 1997
Earlier work this paper cites.
Gauss and Jacobi sums
B.C. Berndt, R.J. Evans, and K.S. Williams · 1998
Earlier work this paper cites.
Projective Geometries over Finite Fields (Oxford Mathematical Monographs)
J. Hirschfeld · 1998
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The construction of Cameron–Liebler line classes in PG ( 3 , q ) {\rm PG}(3,q)
A.A. Bruen and K. Drudge · 1999
Cited alongside, same era.
On a conjecture of Cameron and Liebler
K. Drudge · 1999
Cited alongside, same era.
On Cameron–Liebler line classes
P. Govaerts and L. Storme · 2004
Cited alongside, same era.
Cameron–Liebler line classes in PG ( 3 , 4 ) {\rm PG}(3,4)
P. Govaerts and T. Penttila · 2005
Cited alongside, same era.
Tight sets and m m -ovoids of finite polar spaces
J. Bamberg, S. Kelly, M. Law, and T. Penttila · 2007
Cited alongside, same era.
Eigenvectors of block circulant and alternating circulant matrices
G. Tee · 2007
Cited alongside, same era.
Tight sets, weighted m m -covers, weighted m m -ovoids, and minihypers
J. De Beule, P. Govaerts, A. Hallez, and L. Storme · 2009
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The non-existence of Cameron–Liebler line classes with parameter 2 < x ≤ q 2<x\leq q
K. Metsch · 2010
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On some new examples of Cameron–Liebler line classes
M. Rodgers · 2012
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Small tight sets of hyperbolic quadrics
L. Beukemann and K. Metsch · 2013
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Cameron–Liebler line classes in PG ( n , 4 ) {\rm PG}(n,4)
A.L. Gavrilyuk and I.Y. Mogilnykh · 2013
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Cameron–Liebler line classes
M. Rodgers · 2013
Later among the works it cites.
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J. Bamberg and T. Penttila · 2008
Cited alongside, same era.
A non-existence result on Cameron–Liebler line classes
J. De Beule, A. Hallez, and L. Storme · 2008
Cited alongside, same era.
Cameron–Liebler line classes with parameter x = q 2 − 1 2 x=\frac{q^{2}−1}{2}
Tao Feng, Koji Momihara, and Qing Xiang
Cited in the paper.
An improved bound on the existence of Cameron-Liebler line classes
Klaus Metsch · 2014
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