Publications of Joseph A. Thas
- Over de
$\theta$-normalen van een kegelsnede, Simon Stevin, 40e Jg., Afl.III
(1967), 107-112.
- Over de
$\theta$-normalen van een parabool, Simon Stevin, 42e Jg., Afl. I-II
(1968), 51-64.
- Dubbelverhouding
van een geordend puntenviertal op de projectieve rechte over een
associatieve algebra met \'e\'enelement, Simon Stevin, 42e Jg., Afl.
III (1969), 97-111.
- Theorems
concerning the fourdimensional manifold of lines of the
threedimensional projective space $S_{3,\gamma}$, Simon Stevin, 43e
Jg., Afl. II-III (1969-70), 55-59.
- Een studie
betreffende de projectieve rechte over de totale matrix algebra
$M_3(K)$ der $3 \times 3$-matrices met elementen in een algebra\"\i
sch afgesloten veld $K$, Verh. Kon. Vl. Ac. voor Wet., Lett. en Sch.
K. van Belgi\"e, Kl. der Wet., Jg. XXXI, nr. 112 (1969), 151pp.
- A generalization
to $(3m-1)$-dimensional space of a theorem on two triangles
reciprocally polar with respect to a conic (with O. Bottema), Med.
Kon. Vl. Ac. voor Wet., Lett. en Sch. K. van Belgi\"e, Kl. der Wet.,
Jg. XXXIII, nr. 3 (1971), 11pp.
- Deduction of
properties, valid in the projective space $S_{3n-1}(K)$, using the
projective plane over the total matrix algebra $M_n(K)$, Simon Stevin,
46e Jg., Afl. I-II (1972), 3-16.
- Bijdrage tot de
theorie der $k$-kappen in projectieve ruimten van Galois, Med. Kon.
Vl. Ac. voor Wet., Lett. en Sch. K. van Belgi\"e, Kl. der Wet., Jg.
XXX, nr. 13 (1968), 15pp.
- Normal rational
curves and $k$-arcs in Galois spaces, Rend. di Mat. (6) 1 (1968),
331-334.
- Connection
between the Grassmannian $G_{k-1;n}$ and the set of the $k$-arcs of
the Galois space $S_{n,q}$, Rend. di Mat. (6) 2 (1969), 121-134.
- Sur le nombre
d'espaces lin\'eaires non isomorphes de $n$ points, Bull. de la Soc.
Math. de Belg., Tome XXI, Fasc. 1 (1969), 57-66.
- Normal rational
curves and $(q+2)$-arcs in a Galois space $S_{q-2,q} (q=2^h)$, Accad.
Naz. Lincei, Rend. Cl. Sc. Fis. Mat. e Nat. 8, Vol. 47, Fasc. 5
(1969), 249-252.
- Number of regular
homographies of a Galois space (with R. Puystjens), Rend. di Mat. (6)
3 (1970), 285-289.
- The
$m$-dimensional projective space $S_m(M_n(GF(q)))$ over the total
matrix algebra $M_n(GF(q))$ of the $n \times n$-matrices with elements
in the Galois field $GF(q)$, Rend. di Mat. (6) 4 (1971), 459-532.
- Connection
between the $n$-dimensional affine space $A_{n,q}$ and the curve $C$
with equation $y = x^q$, of the affine plane $A_{2,q^n},$ Rend. Ist.
Mat. Trieste (2) 2 (1970), 146-151.
- Un th\'eor\`eme
concernant les syst\`emes de racines, Bull. Acad. Roy. Belg., Cl. des
Sc., 1970, 707-710.
- An equivalent to
Pappus' theorem in the affine plane $A_2(K)$ over a corpus $K$ with
characteristic different from two, Simon Stevin, 44e Jg., Afl. IV
(1971), 186-187.
- The number of
Desargues-configurations of the projective plane $S_{2,q}$ over the
Galois field $GF(q)$ with characteristic two or three (with R.
Puystjens), Simon Stevin, 44e Jg., Afl. IV (1971), 160-170.
- Ovoidal
translation planes, Arch. der Math. (23) 1 (1972), 110-112.
- A combinatorial
problem, Geometriae Dedicata 1 (1973), 236-240.
- Construction of
partial geometries, Simon Stevin, 46e Jg., Afl. III (1973), 95-98.
- 4-gonal
subconfigurations of a given 4-gonal configuration, Rend. Accad. Naz.
Lincei 8, Vol. 53, Fasc. 6 (1972), 520-530.
- 4-gonal
configurations, in ``Finite geometric structures and their
applications'' (ed. by A. Barlotti), C.I.M.E. Bressanone 1972,
249-263.
- Flocks of finite
egglike inversive planes, in ``Finite geometric structures and their
applications'' (ed. by A. Barlotti), C.I.M.E. Bressanone 1972,
189-191.
- On 4-gonal
configurations, Geometriae Dedicata 2 (1973), 317-326.
- De
$m$-dimensionale projectieve ruimte $S_m(M_n(GF(q)))$ over de totale
matrix algebra $M_n(GF(q))$ der $n \times n$-matrices met elementen in
het Galois veld $GF(q)$, Habilitation Thesis, 135pp (1973).
- On semi ovals and
semi ovoids, Geometriae Dedicata 3 (1974), 229-231.
- Construction of
maximal arcs and partial geometries, Geometriae Dedicata, 3 (1974),
61-64.
- Geometric
characterization of the $[n-1]$-ovaloids of the projective space
$PG(4n-1,q)$, Simon Stevin, 47e Jg., Afl. III-IV (1974), 97-106.
- Translation
4-gonal configurations, Rend. Accad. Naz. Lincei 8, Vol. 56, Fasc. 3
(1974), 303-314.
- On polarities of
symmetric partial geometries, Arch. der Math. (25) 4 (1974), 394-399.
- Some results
concerning $\{(q+1)(n-1);n)\}$-arcs and $\{(q+1)(n-1)+1;n\}$-arcs in
finite projective planes of order $q$, J. Comb. Th. 19 (1975),
228-232.
- 4-gonal
configurations with parameters $r=q^2+1, k = q+1$, Part I, Geometriae
Dedicata 3 (1974), 365-375.
- On 4-gonal
configurations with parameters $r=q^2+1, k = q+1$, Part II, Geometriae
Dedicata 4 (1975), 51-59.
- A remark
concerning the restriction on the parameters of a 4-gonal
subconfiguration, Simon Stevin, 48e Jg., Afl. III-IV (1974-75), 65-68.
- Flocks of
non-singular ruled quadrics in $PG(3,q)$, Accad. Naz. Lincei, Rend.
Cl. Sc. Fis. Mat. e Nat. 8, Vol. 59 (1975), Fasc. 1-2, 83-85.
- Generalized
quadrangles with symmetry (with S.E. Payne), Part I, Simon Stevin, 49e
Jg., Afl. I-II (1975), 3-32.
- Generalized
quadrangles with symmetry (with S.E. Payne), Part II, Simon Stevin,
49e Jg., Afl. III (1975), 81-103.
- Polarities of
generalized hexagons and perfect codes (with P.J. Cameron and S.E.
Payne), Geometriae Dedicata 5 (1976), 525-528.
- A restriction on
the parameters of a subhexagon, J. Comb. Theory 21 (1976), 115-117.
- On generalized
quadrangles with parameters $s=q^2$ and $t=q^3$, Geometriae Dedicata 5
(1976), 485-496.
- Some applications
of the fundamental characterization theorem of R.C. Bose to partial
geometries (with F. De Clerck), Accad. Naz. Lincei, Rend. Cl. Sc. Fis.
Mat. e Nat. 8, Vol. 59 (1975), Fasc. 1-2, 86-90.
- Flocks, chains
and configurations in finite geometries (with A.A. Bruen), Rend.
Accad. Naz. Lincei 8, Vol. 59 (1975), Fasc. 6, 744-748.
- Combinatorial
characterizations of the classical generalized quadrangles, Geometriae
Dedicata 6 (1977), 339-351.
- Blocking sets
(with A.A. Bruen), Geometriae Dedicata 6 (1977), 193-203.
- Two infinite
classes of perfect codes in metrically regular graphs, J. Comb. Theory
(B) 23 (1977), 236-238.
- Partial spreads,
packings and Hermitian manifolds in $PG(3,q)$, (with A.A. Bruen),
Math. Zeitschrift 151 (1976), 207-214.
- Generalized
quadrangles in projective spaces (with P. De Winne), Journal of
Geometry, Vol. 10 1/2 (1977), 126-137.
- Combinatorial
characterizations of generalized quadrangles with parameters $s=q$ and
$t=q^2$, Geometriae Dedicata 7 (1978), 223-232.
- Classical finite
generalized quadrangles (with S.E. Payne), Ars Combinatoria 2 (1976),
57-110.
- Combinatorics of
partial geometries and generalized quadrangles, in ``Higher
Combinatorics'' (ed. by M. Aigner), Nato Advanced Study Institute,
Berlin, September 1976, 183-199.
- Partial
geometries in finite projective spaces (with F. De Clerck), Arch.
Math., Vol. 30, Fasc. 5 (1978), 537-540.
- Partial
geometries satisfying the axiom of Pasch (with F. De Clerck), Simon
Stevin 52 (1977), 123-137.
- On semi partial
geometries (with I. Debroey), J. Comb. Th. 25 (1978), 242-250.
- On polarities of
symmetric semi partial geometries (with I. Debroey), Rend. Accad. Naz.
Lincei 62 (1977), 606-612.
- Partial
geometries in finite affine spaces, Math. Zeitschrift 158 (1978),
1-13.
- Sets of type
$(1,n,q+1)$ in $PG(d,q)$ (with J.W.P. Hirschfeld), Proc. London Math.
Soc. 41 (1980), 254-278.
- Semi partial
geometries in $PG(2,q)$ and $PG(3,q)$ (with I. Debroey), Rend. Accad.
Naz. Lincei 64 (1978), 147-151.
- Semi partial
geometries in $AG(2,q)$ and $AG(3,q)$ (with I. Debroey), Simon Stevin
51 (1978), 195-209.
- On some
generalizations of partial geometry (with R. Laskar), in ``Graph
theory and related topics'' (ed. by J.A. Bondy and U.S.B. Murty),
Academic Press, 1979, 277-287.
- A restriction on
the parameters of a suboctagon, J. Comb. Th. 27 (1979), 385-387.
- On the extension
of restricted $(r, \lambda)$-designs (with F. De Clerck), Ars
Combinatoria 7 (1979), 261-265.
- Generalized
quadrangles satisfying at least one of the Moufang conditions, Simon
Stevin 53 (1979), 151-162.
- Ovoids and
spreads of finite classical polar spaces, Geom. Dedicata 10 (1981),
135-144.
- Polar spaces,
generalized hexagons and perfect codes, J. Comb. Th. 29 (1980), 87-93.
- Flocks in
$PG(3,q)$ (with J.C. Fisher), Math. Zeitschrift 169 (1979), 1-11.
- Partial three
spaces in finite projective spaces, Discrete Math. 32 (1980), 299-322.
- Sets of type
$(1,n,q+1)$ in finite projective spaces of even order $q$ (with J.W.P.
Hirschfeld and X. Hubaut), Mathematical Reports Acad. Sci. Canada,
Vol. 1 (1979) Nr. 3, 133-136.
- Geometries in
finite projective and affine spaces, in ``Surveys in Combinatorics''
(Ed. by B. Bollobas), Proc. of the VIIth British Combinatorial
Conference, Cambridge 1979, 181-211.
- A remark on the
theorem of Yanushka-Ronan characterizing the generalized hexagon
$H(q)$ arising from the group $G_2(q)$, J. Comb. Th. 29 (1980),
361-362.
- Construction of
maximal arcs and dual ovals in translation planes, European Journal of
Combinatorics 1 (1980), 189-192.
- The
characterization of projections of quadrics over finite fields of even
order (with J.W.P. Hirschfeld), J. London Math. Soc. 22 (1980),
226-238.
- An infinite class
of partial geometries associated with the hyperbolic quadric in
$PG(4n-1,q)$ (with F. De Clerck and R.H. Dye), European Journal of
Combinatorics 1 (1980), 323-326.
- Some results on
quadrics and a new class of partial geometries, Simon Stevin 55
(1981), 129-139.
- Moufang
conditions for finite generalized quadrangles (with S.E. Payne), in
``Finite geometries and designs'', Proc. Second Isle of Thorns Conf.
1980, London Math. Soc. Lecture Note Series 49, Cambridge Univ. Press,
275-303.
- Generalized
quadrangles and the Higman-Sims technique (with S.E. Payne), European
J. of Comb. 2 (1981), 79-89.
- New combinatorial
characterizations of generalized quadrangles, European J. of Comb. 2
(1981), 299-303.
- The embedding of
$(0, \alpha)$-geometries in $PG(n,q)$, Part I (with F. De Clerck),
Annals of Discrete Math. 18 (1983), 229-240.
- Combinatorics of
finite generalized quadrangles : a survey, Annals of Discrete Math. 14
(1982), 57-76.
- Restricted
Di-spaces , Part I (with M. Willems), Ars Combinatoria 13 (1982),
231-247.
- Restricted
Di-spaces, Part II (with M. Willems), Ars Combinatoria 13 (1982),
249-263.
- Restricted
Di-spaces, Part III (with M. Willems), Ars Combinatoria 14 (1982),
279-296.
- Restricted
Li-spaces, Part I (with M. Willems), Ars Combinatoria 13 (1982),
265-280.
- Moufang
conditions for finite generalized quadrangles (with S.E. Payne),
Annals of Discrete Math. 18 (1983), 745-752.
- Restricted
Li-spaces, Part II (with M. Willems), Ars Combinatoria 13 (1982),
281-297.
- A combinatorial
characterization of maximal $(k;n)$-arcs (with A.A. Bruen), Simon
Stevin 57 (1983), 141-143.
- Hyperplane
coverings and blocking sets (with A.A. Bruen), Math. Z. 181 (1982),
407-409.
- Semi partial
geometries and spreads of classical polar spaces, J. Comb. Th. 35
(1983), 58-66.
- A note on the
existence of special Laguerre $i$-structures and optimal codes (with
M. Willems), European J. of Comb. 4 (1983), 93-96.
- Elementary proofs
of two fundamental theorems of B. Segre without using the Hasse-Weil
theorem, J. Comb. Th. 34 (1983), 381-383.
- The embedding of
$(0,\alpha)$-geometries in $PG(n,q)$, Part II (with I. Debroey and F.
De Clerck), Discrete Math. 51 (1984), 283-292.
- Enkele aspecten
van de theorie der axiomatische projectieve vlakken (with J. Bilo),
Simon Stevin, Supplement 55 (1981), 144pp.
- Geometries in
finite projective spaces : recent results, in ``Combinatorial
Mathematics X'', Lect. Notes in Mathematics $\sharp$1036,
Springer-Verlag (1983), 96-110.
- $(q^n+1)$-sets of
$PG(3n-1,q)$, generalized quadrangles and Laguerre planes (with L.R.A.
Casse and P.R. Wild), Simon Stevin 59 (1985), 21-42.
- A
characterization theorem for the generalized quadrangle $T^*_2(O)$ of
order $(s,s+2)$ (with M. De Soete), Ars Combinatoria 17 (1984),
225-242.
- Extensions of
finite generalized quadrangles, in ``Symposia Mathematica'' Vol. 28
(Ist. Naz. di Alta Mat. Francesco Severi, Roma 1983), Academic Press
1986, 127-143.
- The generalized
hexagon $H(q)$ and the associated generalized quadrangle $K(q)$ (with
J.W.P. Hirschfeld), Simon Stevin 59 (1985), 407-435.
- 3-regularity in
generalized quadrangles of order $(s,s^2)$, Geom. Dedicata 17 (1984),
33-36.
- Characterization
of generalized quadrangles by generalized homologies, J. Comb. Theory
40 (1985), 331-341.
- Finite
generalized quadrangles (with S.E. Payne), Research Notes in
Mathematics $\sharp$110, Pitman Publ. Inc., Boston-London-Melbourne
1984, 318pp.
- The theorems of
Dembowski and Heise-Percsy from the point of view of generalized
quadrangles, Quaderno N.6., Sem. Geom. Comb. Univ. l`Aquila (1984),
1-10.
- The
classification of all $(x,y)$-transitive generalized quadrangles, J.
Comb. Theory 42 (1986), 154-157.
- Complete arcs in
planes of square order (with J.C. Fisher and J.W.P. Hirschfeld),
Annals of Discrete Math. 30 (1986), 243-250.
- Circle geometries
and generalized quadrangles, in ``Finite Geometries'' (ed. by C. Baker
and L. Batten), Lecture Notes in Pure and Applied Mathematics
$\sharp$103, Marcel Dekker 1985, 327-353.
- Coordinatization
of generalized quadrangles of order $(s,s+2)$ (with M. De Soete), J.
Comb. Th. 48 (1988), 1-11.
- $R$-regularity
and characterizations of the generalized quadrangle $P(W(s), (\infty
))$ (with M. De Soete), Annals of Discrete Math. 30 (1986), 171-184.
- Exterior sets
with respect to the hyperbolic quadric in $PG(2n-1,q)$ (with F. De
Clerck), in ``Finite Geometries'' (ed. by C. Baker and L. Batten),
Lecture Notes in Pure and Applied Mathematics $\sharp$103, Marcel
Dekker 1985, 83-91.
- Pseudopolar
spaces of polar rank three (with G. Hanssens), Geometriae Dedicata 22
(1987), 117-135.
- A
characterization of the generalized quadrangle $Q(4,q), q$ odd (with
M. De Soete), J. Geometry 28 (1987), 57-79.
- Complete arcs and
algebraic curves in $PG(2,q)$, J. Algebra 106 (1987), 451-464.
- Characterizations
of the generalized quadrangles $T^*_2(O)$ and $T_2(O)$ (with M. De
Soete), Ars Combinatoria 22 (1986), 171-186.
- Generalized
quadrangles and flocks of cones, European J. Comb. 8 (1987), 441-452.
- Linear
independence in finite spaces (with J.W.P. Hirschfeld), Geom. Dedicata
23 (1987), 15-31.
- Translation
partial geometries (with H. Gevaert and F. De Clerck), Annals of
Discrete Math. 37 (1988), 117-136.
- Flocks of a
quadratic cone in $PG(3,q), q \leq 8 $ (with H. Gevaert and F. De
Clerck), Geometriae Dedicata 26 (1988), 215-230.
- A family of ovals
with few collineations (with S.E. Payne and H. Gevaert), European J.
of Comb. 9 (1988), 353-362.
- On M.D.S. codes,
arcs in $PG(n,q)$ with $q$ even, and a solution of three fundamental
problems of B. Segre (with A.A. Bruen and A. Blokhuis), Inventiones
Math. 92 (1988), 441-459.
- Interesting
pointsets in generalized quadrangles, partial geometries and strongly
regular graphs, Linear Algebra and its Appl. 114/115 (1989), 103-131.
- Spreads covered
by reguli (with H. Gevaert and N.L. Johnson), Simon Stevin 62 (1988),
51-62.
- Flocks, maximal
exterior sets and inversive planes, in ``Finite Geometries and
Combinatorial Designs'', Contemp. Math. Vol. 111, AMS (1990) ,
187-218.
- Solution of a
classical problem on finite inversive planes, in ``Finite Buildings,
Related Geometries and Applications'', Oxford University Press 1990,
145-159.
- Recent results on
flocks, maximal exterior sets and inversive planes, in ``Combinatorics
'88'',pages 95-108, Mediterranean Press, Rende (Cosenza) 1991.
- M.D.S. codes and
arcs in projective space I (with A.A. Bruen and A. Blokhuis), C.R.
Math. Rep. Acad. Sci. Canada 10 (1988), 225-230.
- M.D.S. codes and
arcs in projective space II (with A.A. Bruen and A. Blokhuis), C.R.
Math. Rep. Acad. Sci. Canada 10 (1988), 233-235.
- Sets with more
than one representation as an algebraic curve of degree three (with
J.W.P. Hirschfeld), in ``Finite Geometries and Combinatorial
Designs'', Contemp. Math. Vol. 111, AMS (1990), 99-110.
- Arcs in
$PG(n,q)$, MDS-codes and three fundamental problems of B. Segre - some
extensions (with A.A. Bruen and A. Blokhuis), Geom. Dedicata 35
(1990), 1-11.
- Partial
geometries and copolar spaces (with H. Gevaert and F. De Clerck), in
``Combinatorics '88'', pages 267-280, Mediterranean Press , Rende
(Cosenza), 1991.
- Derivation of
flocks of quadratic cones (with L. Bader and G. Lunardon), Forum
Mathematicum 2 (1990), 163-174.
- A note on spreads
and partial spreads of hermitian varieties, Simon Stevin 63 (1989),
101-105.
- Maximal exterior
sets of hyperbolic quadrics : the complete classification, J. Combin.
Theory 56 (1991), 303-308.
- Half Moufang
implies Moufang for finite generalized quadrangles (with S.E. Payne
and H. Van Maldeghem), Inventiones Math. 105 (1991)153-156.
- Generalized
Desargues configurations in generalized quadrangles (with H. Van
Maldeghem), Bull. Soc. Math. de Belg. 42 (1990) 713-722.
- Conical flocks,
partial flocks, derivation and generalized quadrangles (with S.E.
Payne), Geom. Dedicata 38 (1991) 229-243.
- Desarguesian
finite generalized quadrangles are classical or dual classical (with
S.E. Payne and H. Van Maldeghem), Designs, Codes and Cryptography 1
(1992) 299-305
- M.D.S. codes and
arcs in $PG(n,q)$ with $q$ even : An improvement of the bounds of
Bruen, Thas and Blokhuis (with L. Storme), J. Combin. Theory Ser. A 62
(1993) 139-154.
- Old and new
results on spreads and ovoids of finite classical polar spaces, in
``Combinatorics '90'', Annals of Discrete Math. 52 (1992) 529-544.
- Generalized
Reed-Solomon codes and normal rational curves : an improvement of
results by Seroussi and Roth (with L. Storme), in ``Advances in Finite
Geometries and Designs'', Oxford Univ. Press 1991, 369-389.
- Generalized
quadrangles, $BLT$-sets, and Fisher flocks (with S.E. Payne) Congr.
Numer. 84 (1991) 161-192.
- Hyperplanes of
dual polar spaces and the spin module (with E.E. Shult) Arch. Math. 59
(1992) 610-623.
- A
characterization of Hermitian curves (with J.W.P. Hirschfeld, L.
Storme and J.F. Voloch), J. Geom. 41 (1991) 72-78.
- $k$-arcs and dual
$k$-arcs (with L. Storme), Discrete Math. 125 (1994) 357-370.
- General Galois
Geometries (with J.W.P. Hirschfeld), Oxford University Press, Oxford
1991, 424pp.
- ``Projective
Geometry over a Finite Field'' Chapter 7 in ``Handbook of Incidence
Geometry'' (ed. F. Buekenhout), North-Holland 1995, pp. 295-347.
- ``Generalized
Polygons'', Chapter 9 in ``Handbook of Incidence Geometry'' (ed. F.
Buekenhout), North-Holland 1995, pp. 383-431.
- On a
generalization of a theorem of B. Segre (with P.J. Cameron and A.
Blokhuis), Geom. Dedicata 43 (1992) 299-305.
- A combinatorial
characterization of Hermitian curves, J. Alg. Combin. 1 (1992) 91-96.
- Complete $k$-arcs
in $PG(n,q)$, $q$ even (with L. Storme), Discrete Math. 106/107 (1992)
455-469.
- Generalized
quadrangles of order $(s,s^2)$. Part I. J. Combin. Theory Ser.A 67
(1994) 140-160.
- M.D.S. codes and
arcs in projective spaces: A survey, in ``Combinatorics '92'', Le
Matematiche 47 (1992) 315-328.
- Flocks and
partial flocks of the quadratic cone in $PG(3,q)$ (with C. Herssens
and F. De Clerck), in ``Finite Geometries and Combinatorics'',
Cambridge Univ. Press 1993 pp. 379-394.
- The affine plane
$AG(2,q)$, $q$ odd, has a unique one point extension. Inventiones
Math. 118 (1994) 133-139.
- $m$-systems of
polar spaces (with E.E. Shult), J. Combin. Theory Ser. A 68 (1994)
184-204.
- Recent
developments in the theory of finite generalized quadrangles, Acad.
Analecta, Med. Kon. Acad. Wet. Lett. Sch. K. Belg., Kl. Wet. 56 (1994)
100-113.
- Spreads and
ovoids of finite generalized quadrangles (with S.E. Payne) Geom.
Dedicata 52 (1994) 227-253.
- Constructions of
polygons from buildings (with E.E. Shult), Proc. London Math. Soc. (3)
71 (1995) 397-440.
- The
classification of finite generalized quadrangles admitting a group
acting transitively on ordered pentagons (with H. Van Maldeghem), J.
London Math. Soc. 51 (1995) 209-218.
- A
characterization of the Fisher-Thas-Walker flocks, Simon Stevin 67
(1993) 219-226.
- Elation
generalized quadrangles of order $(p,t)$, $p$ prime, are classical
(with I. Bloemen and H. Van Maldeghem) J. Stat. Plan. Inf. 56 (1996)
49-55.
- Ovoids of the
quadric $Q(2n,q), n \geq 2$ (with C.M. O'Keefe), European J. Combin.
16 (1995) 87-92.
- Collineations of
Subiaco and Cherowitzo hyperovals (with C.M. O'Keefe), Bull. Belg.
Math. Soc. - Simon Stevin 3 (1996) 177-192.
- $k$-arcs and
partial flocks (with L. Storme), Linear Algebra and its Appl. 226-228
(1995) 33-45.
- Embedded thick
finite generalized hexagons in projective space (with H. Van
Maldeghem), J. London Math. Soc. (2) 54 (1996) 566-580.
- ``Partial
Geometries'', Section IV.34 in ``Handbook of Combinatorial Designs''
(ed. C.J. Colbourn and J.H. Dinitz), CRC Press (Boca Raton, New York,
London, Tokyo) 1996, pp. 414-419.
- $m$-systems and
partial $m$-systems of polar spaces (with E.E. Shult), Designs, Codes
and Cryptography 8 (1996) 229-238.
- Symplectic
spreads in $PG(3,q)$, inversive planes and projective planes,
Combinatorics '94, Discrete Math. 174 (1997) 329-336.
- $k$-arcs,
hyperovals, partial flocks and flocks, Designs, Codes and Cryptography
9 (1996) 95-104.
- Orthogonal,
symplectic and unitary polar spaces sub-weakly embedded in projective
space (with H. Van Maldeghem), Compos. Math. 103 (1996) 75-93.
- Generalized
quadrangles weakly embedded in finite projective space (with H. Van
Maldeghem), J. Stat. Plan. Inf. 73 (1998) 353-361.
- Sub-weakly
embedded singular and degenerate polar spaces (with H. Van Maldeghem),
Geom. Dedicata 65 (1997) 291-298.
- Generalized
quadrangles and the axiom of Veblen (with H. Van Maldeghem), in
``Geometry, Combinatorial Designs, and Related Structures'' (ed.
J.W.P. Hirschfeld, S.S. Magliveras, M.-J. de Resmini), Cambridge Univ.
Press 1997, 241-253.
- Partial flocks of
quadratic cones with a point vertex in $PG(n,q)$, $n$ odd (with C.M.
O'Keefe), J. Alg. Comb. 6 (1997) 377-392.
- G. Tallini and
his work, Results. Math. 32 (1997) 276-280.
- Flocks and
partial flocks of quadrics : A survey, J. Stat. Plan. Inf. 94 (2001)
335-348.
- Translation
ovoids of generalized quadrangles and hexagons (with I. Bloemen and H.
Van Maldeghem), Geom. Dedicata 72(1998) 19-62.
- Generalized
quadrangles of order $(s,s^2)$,II, J. Combin. Theory Ser. A 79 (1997)
223-254.
- Embeddings of
geometries in finite projective spaces : A survey, in ``Groups and
Geometries'' (ed. A. Pasini), Birkh\"{a}user Verlag, Basel 1998,
201-214.
- Generalized
quadrangles of order $(s,s^2)$ : Recent results, Discrete Math.
208/209 (1999) 577-587.
- Flat lax and weak
lax embeddings of finite generalized hexagons (with H. Van Maldeghem),
European J. of Combinatorics 19 (1998) 733-751.
- Lax embeddings of
generalized quadrangles in finite projective spaces (with H. Van
Maldeghem), Proc. London Math. Soc. 82 (2001), 402-440.
- Some new classes
of extended generalized quadrangles of order $(q+1,q-1)$, Bull.Belgian
Math. Soc. - Simon Stevin 5 (1998) 461-467.
- Lax embeddings of
polar spaces in finite projective spaces (with H. Van Maldeghem),
Forum Mathematicum 11 (1999) 349-367.
- Generalized
quadrangles of order $(s,s^2)$,III, J. Combin. Theory (A) 87 (1999)
247-272.
- 3-Regularity in
generalized quadrangles : a survey, recent results and the solution of
a longstanding conjecture, Rend. Circ. Mat. Palermo, Ser. II, Suppl.
53 (1998) 199-218.
- Finite
geometries, varieties and codes, Documenta Mathematica, Extra Volume
ICM 1998, III, 397-408.
- On embeddings of
the flag geometries of projective planes in finite projective spaces,
Designs, Codes and Cryptography (with H. Van Maldeghem), 17 (1999)
97-104.
- Classification of
embeddings of the flag geometries of projective planes in finite
projective spaces, Part 1 (with H. Van Maldeghem), J. Combin. Theory
(A) 90 (2000) 159-172.
- Classification of
embeddings of the flag geometries of projective planes in finite
projective spaces, Part 2 (with H. Van Maldeghem), J. Combin. Theory
(A) 90 (2000) 241-256.
- Classification of
embeddings of the flag geometries of projective planes in finite
projective spaces, Part 3 (with H. Van Maldeghem), J. Combin. Theory
(A) 90 (2000) 173-196.
- New upper bounds
for the sizes of caps in finite projective spaces (with L. Storme and
S.K.J. Vereecke), J. of Geometry 73 (2002) 176-193.
- $m$-Clouds in
generalized hexagons (with L. Brouns and H. Van Maldeghem), Discrete
Math. (Combinatorics '98, ed. C.G. Bartolone) 255 (2002) 25-33.
- Some remarks on
embeddings of the flag geometries of projective planes in finite
projective spaces (with H. Van Maldeghem), J. of Geometry 67 (2000)
217-222.
- Geometrical
constructions of flock generalized quadrangles, J. Combin. Theory (A)
94 (2001) 51-62.
- Characterizations
of translation generalized quadrangles, Designs, Codes and
Cryptography 23 (2001) 249-257.
- A result on
spreads of the generalized quadrangle $T_2(O)$, with $O$ an oval
arising from a flock, and applications, European J. Combin. 22 (2001)
879 - 886.
- On generalized
$k$-arcs in $PG(2n,q)$ (with B. Cooperstein), Annals of Combin. 5
(2001) 141-152.
- SPG systems and
semipartial geometries, Adv. Geom. 1 (2001) 211-228.
- Flocks and
locally hermitian $1$-systems of $Q(6,q)$ (with D. Luyckx), in
``Finite Geometries'' (ed. A. Blokhuis, J.W.P. Hirschfeld, D.
Jungnickel, J.A. Thas), Kluwer Ac. Publ., Dordrecht 2001, 257-276.
- Full embeddings
of the finite dual split Cayley hexagons (with H. Van Maldeghem),
Combinatorica 24 (2004) 681-698.
- A
characterization of $Q(5,q)$ using one subquadrangle $Q(4,q)$ (with L.
Brouns and H. Van Maldeghem), European J. Combin. 23 (2002) 163-177.
- Ovoids, spreads
and $m$-systems of finite classical polar spaces in "Surveys in
Combinatorics, 2001" (ed. J.W.P. Hirschfeld), London Math. Soc. Lect.
Note Ser. 288, Cambridge Univ. Press, Cambridge 2001, 241-267.
- The uniqueness of
the 1-system of $Q^-(7,q), q$ odd (with D. Luyckx), J. Combin. Theory
(A) 98 (2002) 253-267.
- Translation
generalized quadrangles of order $(s,s^2),s$ even, and eggs, J.
Combin. Theory (A) 99 (2002) 40-50.
- Geometrical
construction of the oval(s) associated with an $\alpha$-flock (with
M.R. Brown), Adv. Geom. 4 (2004) 9-17.
- Hermitian
Veroneseans over finite fields (with B. Cooperstein and H. Van
Maldeghem), Forum Mathematicum 16 (2004) 365-381.
- Classification of
finite Veronesean caps (with H. Van Maldeghem), European J. Combin. 25
(2004) 275-285.
- On 1-systems of
$Q(6,q)$, $q$ even (with D. Luyckx), Designs, Codes and Cryptography
29 (2003) 179-197.
- Translation
generalized quadrangles and translation duals, Part 1 (with K. Thas),
Discrete Math., to appear.
- Characterizations
of the finite quadric Veroneseans (with H. Van Maldeghem), Quart. J.
Oxford 55 (2004) 99-113.
- Characterizations
of quadric and Hermitian Veroneseans over finite fields (with H. Van
Malde\-ghem), in `` Topics in Combinatorics: Geometry, Graph Theory
and Designs'' (Proc. Combinatorics 2002, Maratea (Potenza), Italy),
pp. 267-277, and in J. Geometry 76 (2003) 282-293.
- Derivation of
$m$-systems (with D. Luyckx), European J. of Combin., 24 (2003)
137-147.
- Subquadrangles of
order $s$ of generalized quadrangles of order $(s,s^2)$, Part I (with
M.R. Brown), J. Combin. Theory (A) 106 (2004) 15-32.
- Subquadrangles of
order $s$ of generalized quadrangles of order $(s,s^2)$, Part II (with
M.R. Brown), J. Combin. Theory (A) 106 (2004) 33-48.
- Some new maximal
sets of mutually orthogonal Latin squares (with P. Govaerts, D.
Jungnickel, L. Storme), Designs, Codes and Cryptography 29(2003)
215-225.
- Switching of
generalized quadrangles of order $s$, and applications, Advances in
Geometry SIII (2003) 105-112.
- The stabilizer of
the Adelaide oval (with S.E. Payne), Discrete Math. 294 (2005)
161-173.
- Some
characterizations of finite Hermitian Veroneseans (with H. Van
Maldeghem), Designs, Codes and Cryptography 34 (2005) 283-293.
- Maximal arcs in
$PG(2,q)$ and partial flocks of the quadratic cone (with N. Hamilton),
Adv. Geom. 6 (2005) 39-51.
- Locally hermitian
1-systems of $Q^+(7,q)$ (with D. Luyckx), Discrete Math. 282 (2004)
223-231.
- Dual partial
quadrangles embedded in $PG(3,q)$ (with F. De Clerck and N.
Durante),Advances in Geometry SIII (2003) 224-231.
- Trialities and
1-systems of $Q^+(7,q)$ (with D. Luyckx), Designs, Codes and
Cryptography 35 (2005) 337-352.
- Semipartial
geometries, arising from locally hermitian 1-systems of $W_5(q)$,
Bull. Belg. Math. Soc. - Simon Stevin 11 (2004) 69-76.
- SPG-reguli
satisfying the polar property and a new semipartial geometry (with S.
De Winter), Designs, Codes and Cryptography 32 (2004) 153-166.
- The uniqueness of
the 1-system of $Q^-(7,q)$, $q$ even (with D. Luyckx), Discrete Math.
294 (2005) 133-138.
- On Ferri's
characterization of the finite quadric Veronesean $V^4_2$ (with H. Van
Maldeghem), J. Combin. Theory (A), 110 (2005) 217-221.
- A
characterization of the semipartial geometries $T*_2(U)$ and $T*_2(B)$
(with F. De Clerck and S. De Winter), European J. Combin. 25
(2004)73-85.
- Translation
generalized quadrangles in even characteristic (with K.
Thas),Combinatorica 26 (2006)709-732.
- Finite Moufang
generalized quadrangles (with H. Van Maldeghem), Proc. Int. Conf. on
"Geometric and Group Theory Methods in Physics and Mathematics",
Batumi (Georgia), 15-27 September, 2003, J. Math. Sciences 137 (2006)
5037-5048.
- Embeddings of
small generalized polygons (with H. Van Maldeghem), Finite Fields and
Appl. 12 (2006) 565-594.
- On
semi-pseudo-ovoids (with S. De Winter), J. Alg. Combin. 22 (2005)
139-149.
- Affine embeddings
of (0,alpha)-geometries (with F. De Clerck and N. De Feyter), European
J. Combin. 27 (2006) 74-78.
- Generalized
polygons in finite projective spaces (with H. Van Maldeghem), Proc.
2004 $Com^2MaC$ Workshop on Distance-regular Graphs and Finite
Geometry (Eds. S. Bang and J. H. Koolen), Combinatorial and
Computational Mathematics Center, Pohang University of Science and
Technology (2004) 57-71.
- Finite
geometries: classical problems and recent developments, Rend. di Mat.
VII (27) (2007) 49-60, and Rend. Accad. Naz. Sc. detta dei XL, Mem.
Mat. Appl. 125 (2007) XXXI, fasc 1.
- Finite
translation generalized quadrangles: old results, new results, open
problems (with K. Thas), in "Finite Geometries, Groups and
Computation" (eds. A. Hulpke, R. Liebler, T. Penttila, A. Seress)
(Proc. Conf. "Finite Geometries, Groups and Computation", Pingree
Park, Colorado, USA, 2004) Walter de Gruyter, Berlin, 2006, pp.
223-235.
- On the history of
flocks, Liber Memorialis R. Delanghe (2006) pp. 183-198.
- Subquadrangles of
order $s$ of generalized qudrangles of order $(s,s^2)$ (with K. Thas),
Innovations in Incidence Geometry, 10 (2009) 133-145.
- Subquadrangles of
order $s$ of generalized qudrangles of order $(s,s^2)$, III (with K.
Thas), J. Comb. Theory (A) 113 (2006) 1791-1804.
- "Partial
Geometries", Section IV.44 in "Handbook of Combinatorial Designs" (ed.
C.J. Colbourn and J.H. Dinitz), 2nd edition, CRC Press (Boca Raton,
New York, London, Tokyo) 2007, pp. 557-561.
- SPG-reguli,
SPG-systems, BLT-sets and sets with the BLT-property, Proc.
"Combinatorics 2006" (Ischia, Italy 2006), Discrete Math., 309 (2009)
462-474.
- A
characterization of the generalized quadrangle $W(q)$ and
applications, in "Trends in Incidence and Galois Geometries: a Tribute
to Guiseppe Tallini", Quaderni di Matematica 19 (Series ed. by Dip. di
Mat. Sec. Univ. di Napoli Caserta - 2006) pp. 299-310.
- Translation
Generalized Quadrangles (with K. Thas and H. Van Maldeghem), Series in
Pure Mathematics - Vol. 26, World Scientific, Singapore 2006, 376 pp.
- A
characterization of the natural embedding of the split Cayley hexagon
$H(q)$ in $PG(6,q)$ by intersection numbers ( with H. Van Maldeghem),
European J. Combin. 29 (2008) 1502-1506.
- The uniqueness of
1-systems of $W^5(q)$ satisfying the BLT-property, with $q$ odd,
Designs, Codes and Cryptography 44 (2007) 3-10.
- Generalized
hexagons and Singer geometries (with H. Van Maldeghem), Designs, Codes
and Cryptography 47 (2008) 249-266.
- Finite fields and
Galois geometries, Proc. $Fq8$, Contemporary Math. 461 (2008) 251-265.
- Characterizations
of hermitian varieties by intersection numbers (with J. Schillewaert),
Designs, Codes and Cryptography, 50 (2009) 41-60.
- On collineations
and dualities of finite generalized polygons (with B. Temmermans and
H. Van Maldeghem), Combinatorica, 29 (5) (2009) 569-594.
- 1-Polarized
pseudo-hexagons (with H. Van Maldeghem), Innovations in Incidence
Geometry, 6-7 (2007) 307-325.
- Minimal codewords
in Reed-Muller codes (with J. Schillewaert and L. Storme), Designs,
Codes and Cryptography, 54 (2010) 273-286.
- Finite
translation generalized quadrangles, in "Perspectives in Mathematical
Sciences II: Pure Mathematics", World Scientific, Singapore, pp.
225-248..
- Finite
Generalized Quadrangles (with S.E. Payne), 2nd edition (1st edition
with an Appendix), European Mathematical Society, EMS series of
Lectures in Mathematics, xi + 287 pp.
- Generalized ovals
in $PG(3n-1,q)$, with $q$ odd, Pure and Applied Mathematics Quarterly,
7 (2011) 1007-1036.
- Two regular
points in GQ(s) (with S.E. Payne), preprint.
- A
characterization of the finite Veronesean by intersection properties
(with J. Schillewaert and H. Van Maldeghem), Annals of Combin., 2
(2012) 331-348.
- A
characterization of the Grassmann embedding of H(q) (with A. De
Wispelaere and H. Van Maldeghem), Designs, Codes and Cryptography, 55
(2010) 121-130.
- Collineations and
dualities of partial geometries (with B. Temmermans and H. Van
Maldeghem), Discrete Math., 310 (2010) 3251-3258.
- Generalized
Veronesean embeddings of finite projective spaces (with H. Van
Maldeghem), Combinatorica, 31 (2011) 615-629.
- Generalized lax
Veronesean embeddings of projective spaces (with Z. Akca, A. Bayar, S.
Ekmekci, H. Van Maldeghem), Ars Combinatoria, 103 (2012) 65-80.
- Andre embeddings
of affine planes (with H. Van Maldeghem), Contemporary Mathematics
(Proc. of the Conf. on Error-Correcting Codes, Cryptography and Finite
Geometries, Eds. Bruen-Wehlau), 523 (2010) 123-131.
- Characterizations
of Segre varieties
(with H. Van Maldeghem), J. Combin. Theory A, 120 (2013) 795-802.
- Domesticity in
projective spaces (with B. Temmermans and H. Van Maldeghem),
Innovations in Incidence Geometry, 12 (2011) 141-149.
- Domesticity in
generalized quadrangles (with B. Temmermans and H. Van Maldeghem),
Annals of Combin., 16 (2012) 905-916.
- Collineations of
polar spaces with restricted displacements (with B. Temmermans and H.
Van Maldeghem), Designs, Codes and Cryptography, 64 (2012) 61-80.
- An essay on
self-dual generalized quadrangles (with S.E. Payne), Designs, Codes
and Cryptography, 64 (2012) 93-103.
- Characterizations
of Veronese and Segre varieties (with H. Van Maldeghem), J. of Geom.,
101 (2011) 211-222.
- "Projective
Spaces" (with J.W.P. Hirschfeld), Section 14.4 in "Handbook of Finite
Fields" (eds. G.L. Mullen and D. Panario), CRC Press (Boca Raton, New
York, London. Tokyo), 2013, pp. 574-589.
- Finite affine
planes in projective spaces (with H. Van Maldeghem), Combinatorica 37
(2017) 283-311.
- Open problems in
finite projective spaces (with J.W.P. Hirschfeld). Finite Fields and
Applications, 32 (2015) 44-81.
- General Galois
Geometries (with J.W.P. Hirschfeld), 2nd edition, Springer, London,
2016, xvi + 409 pp.
- Arcs, caps and
codes, Notes de la huiti\`eme BSSM, edition 2015, Proceedings of the
"Brussels Summer School of Mathematics (ULB, 2015)", pp. 17-28.
- Regular
pseudo-hyperovals and regular pseudo-ovals in even characteristic,
Innovations in Incidence Geometry, 17 (2019) 77-84.
- On $k$-caps in
$PG(n,q)$, with $q$ even and $n \geq 3$, Discrete Math., 341 (2018)
1459-1471.
- Covers of
generalized quadrangles (with K. Thas), Glasgow Mathematical Journal,
60 (2018) 585-601.
- On $k$-caps in
$PG(n,q)$, with $q$ even and $n \geq 4$, Discrete Math., 341 (2018)
1072-1077.
- Arcs, caps,
generalisations: results and problems, Chapter 22 in "50 Years of
Combinatorics, Graph Theory, and Computing (eds. F. Chung, R. Graham,
F. Hoffman, L. Hogben, D. West), CRC Press, Taylor&Francis Group,
2020, 387-407.
- Covers of
generalized quadrangles, 2. Kantor-Knuth covers and embedded ovoids
(with K. Thas), Finite Fields Appl. 70 (2021), Art. 101780, 1-28.
- Epimorphisms of
generalized polygons A : The planes, quadrangles and hexagons (with K.
Thas), J. of Geom. and Physics 180 (2022) 104614.
- Epimorphisms of
generalized polygons B : The octagons (with K. Thas), Innovations in
Incidence Geometry, to appear.
- Generalized
quadrangles of order $(s, s^2)$. IV. Translations, Moufang and
Fong-Seitz, arXiv: 2205.15260 math CO, Discrete Math., to appear.
- Suzuki-Tits
ovoids through the years (with H. Van Maldeghem), Arch. Math. (2023),
https: //DOI.org/10.1007/s00013-023-01878-7.