prof. dr. Leo Storme
- ORCID iD
- 0000-0001-6440-9225
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- Journal Article
- A1
- open access
Cameron–Liebler k-sets in subspaces and non-existence conditions
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- Journal Article
- A1
- open access
On sets of subspaces with two intersection dimensions and a geometrical junta bound
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- Journal Article
- A1
- open access
Maximal sets of k-spaces pairwise intersecting in at least a (k-2)-space
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- Journal Article
- A4
- open access
Finite geometries : pure mathematics close to applications
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- Journal Article
- A1
- open access
Cameron-Liebler k-sets in AG(n,q)
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Coding theory and Galois geometries
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A stability result and a spectrum result on constant dimension codes
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s-PD-sets for codes from projective planes PG(2; 2^h), 5 <= h <= 9
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Improvement to the sunflower bound for a class of equidistant constant dimension subspace codes
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Cameron-Liebler line classes in AG(3,q)
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Small weight code words arising from the incidence of points and hyperplanes in PG (n,q)
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On linear codes of almost constant weight and the related arcs
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Optimal subspace codes in PG(4,q)
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On the independence number of graphs related to a polarity
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Relative blocking sets of unions of Baer subplanes
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Cameron-Liebler sets of generators in finite classical polar spaces
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- Book Chapter
- open access
Geometrical aspects of subspace codes
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Cameron-Liebler k-classes in PG(2k+1,q)
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- Journal Article
- A1
- open access
A characterization of Hermitian varieties as codewords
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Preface to the special issue on network coding and designs
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The number of different reduced complete sets of MOLS corresponding to PG (2,q)
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On primitive constant dimension codes and a geometrical sunflower bound
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On the maximality of a set of mutually orthogonal Sudoku Latin Squares
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- Journal Article
- A1
- open access
Tight sets in finite classical polar spaces
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Contemporary developments in finite fields and applications
Anne Canteaut, Gove Effinger, Sophie Huczynska, Daniel Panario and Leo Storme (UGent)(2016) -
On the extendability of particular classes of constant dimension codes
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On the extendability of quasidivisible Griesmer arcs
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Galois geometries and coding theory
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Bounds on the number of rational points of algebraic hypersurfaces over finite fields, with applications to projective Reed-Muller codes
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The Cameron-Liebler problem for sets
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The second and the third smallest arrangements of hyperplanes in finite projective spaces
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- Journal Article
- A1
- open access
Identifying codes in vertex-transitive graphs and strongly regular graphs
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On weighted minihypers in finite projective spaces of square order
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Blocking sets of the classical unital
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Galois geometries and applications
Svetla Nikova, Bart Preneel and Leo Storme (UGent)(2014) -
On the functional codes arising from the intersections of algebraic hypersurfaces of small degree with a non-singular quadric
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- Journal Article
- A1
- open access
Maximal partial line spreads of non-singular quadrics
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- Journal Article
- A1
- open access
The Kakeya problem : a gap in the spectrum and classification of the smallest examples
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On the functional codes defined by quadrics and Hermitian varieties
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Coding theory and cryptography IV
Svetla Nikova, Bart Preneel and Leo Storme (UGent)(2013) -
Affine and projective planes
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Erdős-Ko-Rado theorems in finite classical polar spaces
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Theorems of Erdös-Ko-Rado type in geometrical settings
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- Journal Article
- A1
- open access
Sets of generators blocking all generators in finite classical polar spaces
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Theory and applications of finite fields
Michel Lavrauw (UGent) , Gary L Mullen, Svetla Nikova, Daniel Panario and Leo Storme (UGent)(2012) 579. -
- Journal Article
- A1
- open access
A characterization of multiple (n-k)-blocking sets in projective spaces of square order
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- Journal Article
- A1
- open access
Generalised Veroneseans
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Spectrum results in Galois geometries
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- Journal Article
- A1
- open access
Large weight code words in projective space codes
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- Conference Paper
- P1
- open access
The use of blocking sets in Galois geometries and in related research areas
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Current research topics in Galois geometry
Leo Storme (UGent) and Jan De Beule (UGent)(2012) -
- Journal Article
- A1
- open access
A characterisation result on a particular class of non-weighted minihypers
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- Journal Article
- A1
- open access
The characterisation of the smallest two fold blocking sets in PG(n,2)
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Coding theory and cryptography III
Svetla Nikova, Bart Preneel and Leo Storme (UGent)(2011) -
Galois geometries and low-density parity-check codes
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Galois geometries and coding theory
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Linear codes meeting the Griesmer bound and minihypers
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- Journal Article
- A1
- open access
On the non-minimality of the largest weight codewords in the binary Reed-Muller codes
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- Journal Article
- A1
- open access
A proof of the linearity conjecture for k-blocking sets in PG(n, p(3)), p prime
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- Conference Paper
- C1
- open access
Applications of finite geometry in coding theory and cryptography
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- Journal Article
- A1
- open access
Theorems of Erdos-Ko-Rado type in polar spaces
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Galois geometries and applications
Jan De Beule (UGent) , Yves Edel (UGent) , Emilia Kasper, Andreas Klein (UGent) , Svetla Nikova, Bart Preneel, Jeroen Schillewaert (UGent) and Leo Storme (UGent)(2010) 56 (2-3). -
- Conference Paper
- P1
- open access
A spectrum result on maximal partial ovoids of the generalized quadrangle Q(4,q), q odd
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- Conference Paper
- P1
- open access
Linear codes from projective spaces
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- Miscellaneous
- open access
In memoriam, Andras Gacs
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- Miscellaneous
- open access
Galois geometries and applications
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On codewords in the dual code of classical generalised quadrangles and classical polar spaces
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Small maximal partial spreads in classical finite polar spaces
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- Journal Article
- A1
- open access
The small weight codewords of the functional codes associated to non-singular hermitian varieties
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- Journal Article
- A1
- open access
Partial covers of PG(n,q)
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- Journal Article
- A1
- open access
Minimal codewords in Reed-Muller codes
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- Journal Article
- A1
- open access
A spectrum result on maximal partial ovoids of the generalized quadrangle Q(4,q), q even
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- Journal Article
- A1
- open access
A spectrum result on minimal blocking sets with respect to the planes of PG(3,q), q odd
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- Journal Article
- A1
- open access
A study of (x(q+1),x;2,q)-minihypers
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- Journal Article
- A1
- open access
A study of intersections of quadrics having applications on the small weight codewords of the functional codes C2(Q), Q a non-singular quadric
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- Journal Article
- A1
- open access
Functional codes arising from quadric intersections with Hermitian varieties
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Computing with the square root of NOT
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- Journal Article
- A1
- open access
Small weight codewords in the LDPC codes arising from linear representations of geometries
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An empty interval in the spectrum of small weight codewords in the code from points and k-spaces of PG(n,q)
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Tight sets, weighted m-covers, weighted m-ovoids, and minihypers
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- Journal Article
- A1
- open access
Generalised dual arcs and Veronesean surfaces, with applications to cryptography
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A t (mod p) result on multiple (n-k)-blocking sets in PG(n,q)
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Minimal blocking sets in PG(2,9)
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On the non-existence of a maximal partial spread of size 76 in PG(3,9)
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Tangency sets in PG(3,q)
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On the code generated by the incidence matrix of points and k-spaces in PG(n, q) and its dual
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- Journal Article
- A2
- open access
Partial ovoids and partial spreads in finite classical polar spaces
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Coding theory and cryptography II
Svetla Nikova, Bart Preneel, Leo Storme (UGent) and Joseph Thas (UGent)(2008) -
- Journal Article
- A1
- open access
Characterization results on weighted minihypers and on linear codes meeting the G(r)iesmer bound
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- Journal Article
- A1
- open access
Partial ovoids and partial spreads in hermitian polar spaces
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Weighted {delta(q+1), delta; k-1, q}-minihypers
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Maximal partial ovoids and maximal partial spreads in hermitian generalized quadrangles
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Partial ovoids and partial spreads in Hermitian polar spaces
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- Journal Article
- A1
- open access
Partial ovoids and partial spreads in symplectic and orthogonal polar spaces
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On the code generated by the incidence matrix of points and hyperplanes in PG(n,q) and its dual
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Characterization results on arbitrary non-weighted minihypers and on linear codes meeting the Griesmer bound
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- Journal Article
- A1
- open access
A non-existence result on Cameron-Liebler line classes
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Small weight codewords in the codes arising from Desarguesian projective planes
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Generalised dual arcs and Veronesean surfaces, with applications to cryptography
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Characterization results on minihypers on quadrics and applications
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Small weight codewords in the codes arising from Desarguesian projective planes
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Characterization results on arbitrary (non-)weighted minihypers and on linear codes meeting the Griesmer bound
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Characterization results on weighted minihypers and on linear codes meeting the Griesmer bound
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On the LDPC codes arising from linear representations of point sets in finite projective spaces
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Small weight codewords in the codes arising from Desarguesian projective spaces
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Finite Geometry
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New upper bounds on the sizes of caps in PG(N,5) and PG(N,7)
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On minimum size blocking sets of external lines to a quadric in PG(d,q)
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On minimum size blocking sets of external lines to a quadric in PG(3,q).
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On the smallest maximal partial ovoids and spreads of the generalized quadrangles W(q) and Q(4, q)
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Blocking sets in PG(r, q(n))
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Small weight codewords in LDPC codes defined by (dual) classical generalized quadrangles
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On multiple blocking sets in Galois planes
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A weighted version of a result of Hamada on minihypers and on linear codes meeting the Griesmer bound
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- Journal Article
- A1
- open access
Characterization results on small blocking sets of the polar spaces Q(+) (2n+1,2) and Q(+) (2n+1,3)
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Small weight codewords in LDPC codes defined by (dual) classical generalized quadrangles
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Small weight codewords in the codes of Desarguesian planes
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Coding theory and finite geometry
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Linear codes meeting the Griesmer bound
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On ovoids of parabolic quadrics
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A classification result on weighted {delta v(mu+1), delta v(mu); N,p(3)}-minihypers
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The classification of the smallest nontrivial blocking sets in PG(n,2)
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- Journal Article
- A1
- open access
Blocking all generators of Q(+)(2n+1,3), n >= 4
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Coding theory and cryptography
Svetla Nikova, Bart Preneel, Leo Storme (UGent) and Joseph Thas (UGent)(2006) -
Incidence geometry
Frank De Clerck (UGent) , Leo Storme (UGent) , Joseph Thas (UGent) and Hendrik Van Maldeghem (UGent) -
The two smallest minimal blocking sets of Q(2n, 3), n >= 3
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New classification results for a certain class of weighted minihypers
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On the spectrum of the sizes of maximal partial line spreads in PG (2n,q),n >= 3
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On the smallest maximal partial ovoids and spreads of the generalized quadrangles W(q) and Q(4,q)
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Characterizations of a class of weighted minihypers in PG(k-1,q), q=q_0^3, q_0 non-square
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Weighted {d v_{u+1},d v_u;k-1,q}-minihypers, q a cube prime power
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On the smallest minimal blocking sets of Q(2n, q), for q an odd prime
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Implementing an arbitrary reversible logic gate
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Correlation between the molecular morphology and the biocompatibility of bioadhesive carriers prepared from spray-dried starch/Carbopol((R)) blends
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Linear codes meeting the Griesmer bound, minihypers and geometric applications
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All non-linear reversible logic gates are r-universal
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Linear codes meeting the Griesmer bound, minihypers, and geometric applications
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Linear codes and finite geometries
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On ovoids of Q(4,q), q prime
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On complete caps in the projective geometries over F_3. II: New improvements
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On the size of complete caps in PG(3, 2h)
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A classification result on weighted {delta(p(3)+1) delta;3,p(3)}-minihypers
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Minimal blocking sets in PG(2,8) and maximal partial spreads in PGd(3,8)
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Multiple blocking sets in PG(n, q), n >= 3
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On Cameron-Liebler line classes
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r-Universal reversible logic gates
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On the size of minimal blocking sets of Q(4,q), for q=5,7
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Some new maximal sets of mutually orthogonal Latin squares
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On a particular class of minihypers and its applications, I : the result for general q
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Blocking sets in projective spaces
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On the spectrum for the sizes of maximal partial line spreads in PG(2n,q)
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Linear codes meeting the Griesmer bound, and minihypers and blocking sets in finite projective spaces
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Results on linear codes meeting the Griesmer bound from results on t-fold (N-K)-blocking sets in PG(N,q)
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Classification of t-fold (n-k)-blocking sets in PG(n,q)
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Projective Geometry and Coding Theory
(2003) -
Crosslinked polyurethane-based gels
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Results on maximal partial spreads in PG(3,p(3)) and on related minihypers
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A Griesmer bound for linear codes over finite quasi-Frobenius rings
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A note on maximal partial spreads with deficiency q+1, q even
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Maximal partial spreads in PG(3,4) and maximal sets of mutually orthogonal latin squares of order 16
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Maximal partial spreads of T-2(O) and T-3(O)
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The smallest minimal blocking sets of Q(6, q), q even
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On a particular class of minihypers and its applications. III. Applications
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On a particular class of minihypers and its applications II. Improvements for q square
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Generating the group of reversible logic gates.
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Minimal covers of Q(+)(2n+1, q) by (n-1)-dimensional subspaces.
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Partial linear complexes of PG(3, q)
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Small minimal blocking sets in PG(2, q(3)).
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New upper bounds on caps in PG(n,q).
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New upper bounds for the sizes of caps in projective spaces
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Comparative morphological study of poly(dioxolane)/poly(methyl methacrylate) segmented networks and blends by C-13 solid-state NMR and thermal analysis
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The packing problem in statistics, coding theory and finite projective spaces : update 2001
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Minimal covers of the Klein quadric
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The geometric description of a cyclic (q-root q+1)-arc in PG(q-root q-3, q), q square.
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Packing and covering groups with subgroups.
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Covers and blocking sets of classical generalized quadrangles
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Linear point sets and Redei type k-blocking sets in PG(n, q).
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An analysis of Chen's construction of minimum-distance five codes
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2-Blocking sets in PG(4, q), q square.
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On 1-blocking sets in PG(n, q), n >= 3
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Unitals which meet Baer subplanes in 1 modulo q points
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On complete caps in the projective geometries over F3
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Early compared with delayed inhaled nitric oxide in moderately hypoxaemic neonates with respiratory failure : a randomised controlled trial
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Lacunary polynomials, multiple blocking sets and Baer subplanes
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On the number of slopes of the graph of a function defined on a finite field
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Cyclic and elementary abelian caps in projective spaces
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Partial t-spreads in PG(2t+1, q)
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On the largest caps contained in the Klein quadric of PG(5, q), q odd
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Group theoretical aspects of reversible logic gates
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a-flocks with oval herds and monomial hyperovals. , 4, 1998, 185-199.
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Caps on parabolic and hyperbolic quadrics
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Covers of PG(3,q) and of finite generalized quadrangles
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Monomial flocks and herds containing a monomial oval
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The packing problem in statistics, coding theory and finite projective spaces
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Spreads corresponding to flocks of quadrics
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Small arcs in projective spaces
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Normal rational curves over prime fields
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Applications of line geometry, III : the quadric Veronesean and the chords of a twisted cubic
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Space-filling subsets of a normal rational curve
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Arcs fixed by A5 and A6
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Transitive arcs in planes of even order.
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Small complete caps in spaces of even characteristic
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Caps on elliptic quadrics
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Arcs fixed by a large cyclic group
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κ-arcs and partial flocks
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Cyclic caps in PG(3,Q)
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Primitive arcs in PG(2,Q)
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Intersection of arcs and normal rational curves in spaces of even characteristics
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K-arcs and dual K-arcs
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Cyclic arcs in PG(2, Q)
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Intersection of arcs and normal rational curves in spaces of odd characteristic
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Note on a problem of Kaneta concerning arcs in PG(3,q)
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Caps in PG(N, Q), Q even N ≥ 3
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M.D.S. codes and arcs in PG(n,q) with q even : an improvement of the bounds of Bruen, Thas, and Blokhuis
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Completeness of normal rational curves
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Complete K-arcs in PG(N, Q), Q even
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k-arcs in PG(n,q) and linear M.D.S. codes
(1991) -
A characterization of hermitian curves