## G. Eric Moorhouse: |
## Publications/Errata |

Comments/corrections on these publications are welcome by email ().

- The non-existence of ovoids in
*O*, with Athula Gunawardena, Europ. J. Combinatorics_{9}(q)**18**(1997), 171-173. - Ovoids from the
*E*root lattice, Geometriae Dedicata_{8}**46**(1993), 287-297. - Root lattice constructions of
ovoids, in
*Finite Geometry and Combinatorics,*ed. F. De Clerck et. al., pp.269-275, Camb. Univ. Press, Cambridge (1993). - Ovoids and translation planes
from lattices, in
*Mostly Finite Geometries*, ed. N. L. Johnson; Marcel Dekker Inc., 1997, pp.123-134. - Fingerprints of
*r*-ary ovoids in*O*and of their^{+}(8,p)*O*-slices, technical report, 1999.^{+}(6,p)

- Some
*p*-ranks related to orthogonal spaces, with Aart Blokhuis, J. Algebraic Combinatorics**4**(1995), 295-316. - Some
*p*-ranks related to finite geometric structures, in*Mostly Finite Geometries*, ed. N. L. Johnson; Marcel Dekker Inc., 1997, pp.353-364. - Some
*p*-ranks related to Hermitian varieties, J. Stat. Plan. Inf.**56**(1996), 229-241. - The
*p*-rank of the Sp*(4,p)*Generalized Quadrangle, with Dom de Caen, preprint. This has subsequently been generalised by P. Sin to Sp(*2m,p*). - Approaching Some Problems in
Finite Geometry through Algebraic Geometry, pp.285-296 in
*Algorithmic Algebraic Combinatorics and Grobner Bases*, ed. G. Jones, A. Jurišić, M. Muzychuk and I. Ponomarenko, Springer-Verlag, Berlin, 2009.

- A family of antipodal distance-regular
graphs related to the classical Preparata codes, with D.
de Caen and R. Mathon,
J. Algebraic Combinatorics
**4**(1995), 317-317. - On the Chromatic Numbers of Planes, preprint.
- Double covers of symplectic dual polar graphs, with J. Williford, Discrete Math.
**339**(2016) no.2, 571-588. - The eigenvalues of the graphs
*D*(4,*q*), with S. Sun and J. Williford, submitted to J. Combin. Theory B, 2016.

- Two-graphs and skew two-graphs
in finite geometries, Linear Algebra and its Applications
**226-228**(1995), 529-551.

- Bruck nets, codes, and characters
of loops, Designs, Codes and Cryptography
**1**(1991), 7-29. - Codes of Nets with Translations,
in
*Advances in Finite Geometries and Designs*, ed. J. Hirschfeld et. al.; Oxford Univ. Press, 1991, pp.327-336. - On codes of Bruck nets and projective
planes, in
*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. - Nets and Latin squares of small
order, technical report, April 2001.
*(Under Construction)* - Bol loops of small order,
technical report, June 2002.
*(Under Construction)* - Ranks of Nets,
*Quasigroups and Related Systems***14**(2006), 61-72. - Codes of Nets and Projective Planes,
pp. 207-216 in:
*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 Ranks of Nets and of Webs, very preliminary draft, 2005.

- The 2-Transitive Complex Hadamard Matrices, preprint, 32 pages.
- Uniqueness of sets of mutually unbiased bases of order 5, with Daniel P. May, 2009.

- PSL(2,
*q*) as a collineation group of projective planes of small order, Geometriae Dedicata**31**(1989), 63-88. - PSL(3,
*q*) and PSU(3,*q*) on planes of order*q*^{4}, unpublished manuscript, 42 pages. - Projective planes of small order, technical report, September 2000.
- Projective planes of order 25. All known planes of order 25 are listed, along with pertinent information including automorphism groups
- Projective planes of order 27. All known planes of order 27 are listed, along with pertinent information including automorphism groups
- Projective planes of order 49. All known planes of order 49 are listed, along with pertinent information including automorphism groups
- On projective planes of order
less than 32, in
*Finite Geometries, Groups, and Computation,*ed. A. Hulpke et. al.; de Gruyter, Berlin, 2006, pp.149-162. - Embedding finite partial
linear spaces in finite translation nets, with Jason Williford.
*Journal of Geometry***91**no.1-2 (2009), 73-83. - Subplanes of order 3 in
Hughes planes, with Cafer Caliskan,
*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.

View 5-minute summary

- Generalised polygons of small
order, technical report, August 2003.
*(Under Construction)*

- Reconstructing projective planes
from semibiplanes, in
*Coding Theory and Design Theory, Part II: Design Theory*, ed. D. Ray-Chaudhuri, Springer-Verlag, 1990, pp.280-285. - On the construction of finite
projective planes from homology semibiplanes, Europ. J. Combinatorics
**11**(1990), 589-600. - Planes, semibiplanes and related complexes, preprint, 6 pages.

- A sufficient condition for an
entire function to be a polynomial of degree one, with F.
Jafari and J.-Cl. Evard, Nieuw Archief voor Wiskunde
**12**(1994), 9-13. - Partitioning the
*n*-cube into sets with mutual distance 1, with 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.

/ revised January, 2017