Comments/corrections on these publications are welcome by email (
Ovoids and Lattices
, with The non-existence of ovoids in
O 9(q) Athula Gunawardena, Europ. J. Combinatorics
18 (1997), 171-173.
, Geometriae Dedicata Ovoids from the E
root lattice 8 46 (1993), 287-297.
, in Root lattice constructions of
ovoids Finite Geometry and Combinatorics, ed. F. De
Clerck et. al., pp.269-275, Camb. Univ. Press, Cambridge (1993).
, in Ovoids and translation planes
from lattices Mostly Finite Geometries, ed. N. L. Johnson;
Marcel Dekker Inc., 1997, pp.123-134.
technical report, 1999. Fingerprints of r-ary
ovoids in O and of their +(8,p) O-slices +(6,p)
p-Ranks of Varieties
, with Some p-ranks related
to orthogonal spaces Aart Blokhuis, J. Algebraic Combinatorics
4 (1995), 295-316.
, in Some p-ranks related to
finite geometric structures Mostly Finite Geometries,
ed. N. L. Johnson; Marcel Dekker Inc., 1997, pp.353-364.
, J. Stat. Plan. Inf. Some p-ranks related
to Hermitian varieties 56 (1996), 229-241.
, with The p-rank of the Sp (4,p)
Generalized Quadrangle Dom
de Caen, preprint. This has subsequently been generalised by P. Sin to Sp(. 2m,p)
, pp.285-296 in Approaching Some Problems in
Finite Geometry through Algebraic Geometry Algorithmic
Algebraic Combinatorics and Grobner Bases, ed. G. Jones, A. Jurišić,
M. Muzychuk and I. Ponomarenko, Springer-Verlag, Berlin, 2009.
Chromatic Number of Graphs
, preprint. On the Chromatic Numbers of
, Linear Algebra and its Applications Two-graphs and skew two-graphs
in finite geometries 226-228
Nets and Quasigroups
, Designs, Codes and Cryptography Bruck nets, codes, and characters
of loops 1 (1991), 7-29.
in Codes of Nets with Translations Advances in Finite Geometries and Designs, ed. J. Hirschfeld et.
al.; Oxford Univ. Press, 1991, pp.327-336.
, in On codes of Bruck nets and projective
planes Coding Theory, Design Theory, Group Theory (Proceedings
of the Marshall Hall Conference), ed. D. Jungnickel and S. A. Vanstone;
J. Wiley & Sons, 1993, pp.237-242.
, technical report, April 2001. Nets and Latin squares of small
order (Under Construction)
technical report, June 2002. Bol loops of small order (Under Construction)
, Ranks of Nets Quasigroups
and Related Systems 14 (2006), 61-72.
pp. 207-216 in: Codes of Nets and Projective Planes Error-Correcting Codes, Finite Geometries and Cryptography,
ed. Aiden A. Bruen and David L. Wehlau, Contemporary Mathematics 523,
American Mathematical Society, Providence RI, 2010.
For most purposes, this should replace the previously available manuscript
very preliminary draft, 2005. Ranks of Nets and of Webs
Distance Regular Graphs
, with A family of antipodal distance-regular
graphs related to the classical Preparata codes D.
de Caen and R. Mathon,
J. Algebraic Combinatorics 4 (1995), 317-317.
Generalized Hadamard Matrices
, preprint, 32 pages. The 2-Transitive Complex Hadamard
Uniqueness of sets of mutually unbiased bases of order 5, with Daniel P. May, 2009.
, Geometriae Dedicata
PSL(2, q) as a collineation
group of projective planes of small order 31 (1989), 63-88.
, unpublished manuscript,
42 pages. PSL(3, q) and PSU(3, q)
on planes of order q 4
technical report, September 2000. Projective planes of small order
All known planes of order 25 are listed, along with pertinent information
including automorphism groups Projective planes of order 25
All known planes of order 27 are listed, along with pertinent information
including automorphism groups Projective planes of order 27
All known planes of order 49 are listed, along with pertinent information
including automorphism groups Projective planes of order 49
, in On projective planes of order
less than 32 Finite Geometries, Groups, and Computation,
ed. A. Hulpke et. al.; de Gruyter, Berlin, 2006, pp.149-162.
, with Jason Williford.
Embedding finite partial
linear spaces in finite translation nets Journal of Geometry 91 no.1-2 (2009), 73-83.
, with Cafer Caliskan, Subplanes of order 3 in
Hughes planes Electronic Journal of Combinatorics
18 (2011) no.1, Paper 2, 8 pp.
Groups of projective planes with differing numbers
of point and line orbits, with Tim Penttila, Journal
of Algebra 399 (2014), 1013-1020.
Other Generalised Polygons
, technical report, August 2003. Generalised polygons of small
order (Under Construction)
, in Reconstructing projective planes
from semibiplanes Coding Theory and Design Theory, Part
II: Design Theory, ed. D. Ray-Chaudhuri, Springer-Verlag, 1990, pp.280-285.
, Europ. J. Combinatorics
On the construction of finite
projective planes from homology semibiplanes 11 (1990), 589-600.
, preprint, 6 pages. Planes, semibiplanes and related
, with A sufficient condition for an
entire function to be a polynomial of degree one F.
Jafari and J.-Cl. Evard, Nieuw Archief voor Wiskunde 12 (1994),
, with Partitioning the n-cube
into sets with mutual distance 1 A.
Blokhuis, K. Metsch, R.
Ahlswede, and S.L. Bezrukhov,
Applied Math. Letters 6 (1993), 17-19.
, Partial spreads and
flocks over infinite fields Note di Matematica 29,
Suppl. 1 (2009), 179-200. Under