Publications
The versions of the articles which appear on this page may (and probably do) vary slightly from the published version. For this reason any references should be checked with the published versions.

On the size of a double blocking set in PG(2,q), Finite
Fields Appl., 2 (1996) 125137.
(with A. Blokhuis)
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On the size of a triple blocking set in PG(2,q), European
J. Combin., 5 (1996) 427435.
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Multiple blocking sets and arcs in finite planes, J. London
Math. Soc., 54 (1996) 581593.
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Maximal arcs in Desarguesian planes of
odd order do not exist, Combinatorica, 17 (1997) 3141.
(with A. Blokhuis and F. Mazzocca)
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On small complete arcs in a finite plane, Discrete Math.,
174 (1997) 2934.
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Partial unitals and related structures in Desarguesian planes,
Des. Codes Cryptogr., 15 (1998) 231236.
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An easier proof of the maximal arcs conjecture, Proc. Amer.
Math. Soc., 126 (1998) 33773380.
(with A. Blokhuis)
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On nuclei and blocking sets in Desarguesian spaces, J.
Combin. Theory Ser. A, 85 (1999) 232237.
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On the incompleteness of (k,n)arcs in Desarguesian planes of
order q where n divides q, Geom. Dedicata, 74
(1999) 325332.
(with A. Blokhuis)
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On the number of slopes of the graph of a function defined over a finite
field, J. Combin. Theory Ser. A, 86 (1999)
187196.
(with A. Blokhuis, A. E. Brouwer, L. Storme and T. Szonyi)
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Unitals with many Baer sublines, Des. Codes Cryptogr.,
17 (1999) 237252.
(with A. Blokhuis and C. M. O'Keefe)
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Polynomials in finite geometries, in: Surveys in
combinatorics, 1999, Lamb, J. D. (ed) et al, Cambridge
University Press. Lond. Math. Soc. Lect. Note Ser. 267, 1735,
1999.
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Polynomials in finite geometry, in: Methods of Discrete
Mathematics, 1999, Lowe, S. (ed) et al, Quaderni di
mathematica, Napoli, volume 5, 71101, 1999.
(with A. Blokhuis)

On intersection sets in Desarguesian affine spaces, European
J. Combin., 21 (2000) 441446.
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Linear (q+1)fold blocking sets in PG(2,q^4), Finite
Fields Appl., 6 (2000) 294301.
(with A. Blokhuis and M. Lavrauw)

On (q²+q+2,q+2)arcs in the projective plane PG(2,q),
Des. Codes Cryptogr., 24 (2001) 205224.
(with R. Hill, I. Landjev and H. Ward)

The classification of maximal arcs in small Desarguesian planes,
Bull. Belg. Math. Soc., 9 (2002) 433445.
(with A. Blokhuis)
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Commutative semifields of rank 2 over their middle nucleus, in:
Finite Fields with Applications to Coding Theory, Cryptography and
Related Areas, Mullen, G. L. (ed) et al, SpringerVerlag, 121, 2002.
(with M. Lavrauw)
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On the classification of semifield flocks, Adv.
Math., 180 (2003) 104111.
(with A. Blokhuis and M. Lavrauw)
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The number of directions determined by a function over a finite field, J. Combin. Theory Ser. A, 104 (2003) 341350.
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On ovoids of O(5,q), Adv. Geom., 4 (2004) 17.
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Symplectic spreads and permutation polynomials, in: Finite Fields and Applications, Mullen, G. L. (ed) et al, SpringerVerlag, 7988, 2004.
(with M. Zieve)
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Symplectic spreads, Des. Codes Cryptogr., 32 (2004) 914.
(with J. Bamberg, M. Lavrauw and T. Penttila)
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The six semifield planes associated with a semifield flock, Adv.
Math., 189 (2004) 6887.
(with M. Brown)
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Bounds on (n,r)arcs and their application to linear codes, Finite Fields Appl., 11 (2005) 326336.
(with J. W. P. Hirschfeld)
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On ovoids of parabolic quadrics, Des. Codes Cryptogr., 38 (2006) 131145.
(with P. Govaerts and L. Storme)
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How to use Redei polynomials in higher dimensional spaces, Le Matematiche (Catania), 59 (2004) 3952 (2006).
(with M. Lavrauw)
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On ovoids of PG(3,q), Adv. Geom., 6 (2006) 177198.
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On the graph of a function in two variables over a finite field, J. Algebraic Combin., 23 (2006) 243253.
(with M. Lavrauw)
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Introducció als polinomis de Rédei, Butl. Soc. Catalana Mat., 21 (2006) 197211.
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Affine blocking sets, three dimensional codes and the Griesmer bound, Discrete Math., 307 (2007) 16001608.
(with E. Montanucci)
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Functions over finite fields that determine few directions, Electr. Notes in Discrete Math., 29 (2007) 185188.
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On linear codes whose weights and length have a common divisor, Adv. Math., 211 (2007) 94104.
(with A. Blokhuis, A. Gacs, P. Sziklai and Zs. Weiner)
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A geometric construction of finite semifields, J. Algebra, 311 (2007) 117129.
(with G. Ebert and M. Lavrauw)
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On the HughesKleinfeld and Knuth's semifields two dimensional over a weak nucleus, Des. Codes Cryptogr., 44 (2007) 6367.
(with M. Lavrauw)
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On the graph of a function in many variables over a finite field, Des. Codes Cryptogr., 47 (2008) 159164.
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On the number of directions determined by a pair of functions over a prime field, J. Combin. Theory Ser. A, 115 (2008) 505516.
(with A. Gacs and P. Sziklai)
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On sets of points in a finite affine plane containing a line in every direction, (2008), unpublished.
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On the graph of a function over a prime field whose small powers have bounded degree, European
J. Combin., 30 (2009) 15751584.
(with A. Gacs)
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Multiple blocking sets in finite projective spaces and improvements to the Griesmer bound for linear codes, Des. Codes Cryptogr., 53 (2009) 119136.
(with S. Fancsali)
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Punctured Combinatorial Nullstellensatze, Combinatorica, 29 (2009) 511522.
(with O. Serra)
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The polynomial method in Galois geometries, in Current research topics in Galois geometry, Chapter 5, Nova Sci. Publ., New York, (2012) 105130.
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On sets of vectors of a finite vector space in which every subset of basis size is a basis, J. Eur. Math. Soc., 14 (2012) 733748.
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Asymptotic improvements to the lower bound of certain bipartite Turan numbers, Combin. Probab. Comput., 21 (2012) 323329.
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(with V. Pepe)

On sets of vectors of a finite vector space in which every subset of basis size is a basis II, Des. Codes Cryptogr., 65 (2012) 514.
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(with J. De Beule)

An alternative way to generalise the pentagon, J. Combin. Des., 21 (2013) 163179.
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(with J. Bamberg, A. Devillers and K. Stokes)

A bound for the maximum weight of a linear code, SIAM J. Discrete Math., 27 (2013) 575583.
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(with A. Blokhuis)

Lacunary polynomials over finite fields, in Handbook of Finite Fields, 2013.
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(with A. Blokhuis)

On the representability of the biuniform matroid, SIAM J. Discrete Math., 27 (2013) 14821491.
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(with C. Padro, Zs. Weiner and C. Xing)

A padic condition on the weight of a codeword of a linear code, Des. Codes Cryptogr., 72 (2014) 177183.
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Rédei polynomials over fields of characteristic zero, in Galois Geometries and Applications, Koninklijke Vlaamse Academie Van Beligie voor Wetenschappen en Kunsten (2014) 1117.
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Finite Geometry and Combinatorial Applications, London Mathematical Society Student Texts 82, Cambridge University Press, 2015.
US or not US

Forbidden subgraphs in the norm graph, Discrete Math., 339 (2016) 12061211. pdf
(with V. Pepe)

A finite version of the Kakeya problem, Australasian Journal of Combinatorics, 65 (2016) 251260. pdf
(with A. Blokhuis and D. Domenzain)

On subsets of the normal rational curve, IEEE Transactions on Information Theory , 63 (2017) 36583662. pdf
(with J. De Beule)

On arcs and quadrics, in: Arithmetic of Finite Fields. WAIFI 2016. Lecture Notes in Computer Science, Springer, Cham., 10064 (2017) 95102. pdf

A generalisation of Sylvester's problem to higher dimensions, J. Geom., 108 (2017) 529543. pdf
(with Joaquim Monserrat)

Extending small arcs to large arcs, European Journal of Mathematics, 4 (2018) 825. pdf

On sets defining few ordinary planes, Discrete Comput. Geom., 60 (2018) 220253. pdf

Review of Larry Guth's "Polynomial Methods in Combinatorics" in Jahresbericht der Deutschen MathematikerVereinigung,120 (2018) 147150. pdf

Planar arcs, J. Combin. Theory Ser. A, to appear. pdf
(with M. Lavrauw)

On sets of points with few odd secants, preprint. pdf
(with B. Csajbok)

On sets defining few ordinary solids, preprint. pdf
(with E. Jimenez)
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Updated 20 August 2018