Publications
Last modified: November 2, 2009
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Let's begin with the most recent:
Submitted for publication:
To appear:
Published:
- ``There are finitely many Q-polynomial association
schemes with given first multiplicity at least three.''
(with Jason Williford).
European Journal of Combinatorics 30 (2009), pp. 698-704.
DOI link:
http://dx.doi.org/10.1016/j.ejc.2008.07.009
- ``Representations of directed strongly regular graphs.''
(with C. D. Godsil and Sylvia
Hobart.) European Journal of Combinatorics 28 no. 7 (2007), 1980--1993.
(Proceedings of "Geometric and Algebraic Combinatorics 3".)
- ``Imprimitive cometric association schemes:
constructions and analysis.''
(with Mikhail Muzychuk and
Jason Williford).
Journal of Algebraic Combinatorics 25 no. 4 (2007), 399--415.
- ``A provably secure true random number generator with
built-in tolerance to active attacks.''
(with B. Sunar and
D.R. Stinson)
IEEE Transactions on Computers 56 no. 1 (2007), 109--119.
- ``A dual Plotkin bound for (T,M,S)-nets''
(with Terry Visentin) IEEE Trans. Inform. Theory, 53, no. 1 (2007), 411-415..
- ``(t,m,s)-Nets'' in: CRC Handbook
of Combinatorial Designs, 2nd ed. (C. Colbourn and J. Dinitz, eds.), CRC
Press, Boca Raton, FL, 2006.
- PDF file (142K)
- MinT a database of the latest
information about constructions and bounds for (t,m,s)-nets,
maintained at the University of Salzburg by Rudi Schurer and Wolfgang Schmid.
- ``Some new constructions of imprimitive cometric association
schemes.''
(with Mikhail Muzychuk and
Jason Williford).
Proceedings, "Algebraic Combinatorics",
an international conference in honour of Eiichi Bannai's 60th birthday,
June 26-30, 2006, Sendai International Center, Sendai, Japan (not refereed).
- ``Linear programming bounds for $(T,M,S)$-nets''
(extended abstract), Proceedings of the Seventh Asian Symposium on Computer
Mathematics, Seoul, Republic of Korea, December 2005.
- ``A new notion of transitivity for groups and
sets of permutations.''
(with
B. E. Sagan) Journal of the London Mathematical Society, 73
(2006), 1-13 .
- ``Completely regular codes: a viewpoint
and some problems.'' pages 43--56 in: Proceedings
of 2004 Com2MaC Workshop on Distance-Regular Graphs and Finite Geometry,
July 24 - 26, 2004, Pusan, Korea (invited, not refereed).
- ``A physics-free introduction to quantum
error-correcting codes.'' Utilitas Mathematica, 65
(2004), 133-158.
- ``Width and dual width of subsets in
polynomial association schemes.'' (with A. E. Brouwer, C. D. Godsil
and J. Koolen) Journal of Combinatorial Theory, Series A 102
(2003), 255-271.
- ``Symmetric designs, sets with two intersection
numbers, and Krein parameters of incidence graphs''
Journal of Combin. Math. and Combin. Computing 38 (2001),
185-196.
- ``Design systems: combinatorial characterizations of
Delsarte T-designs via partially ordered sets.'' pp. 223-239,
in: Codes and Association Schemes DIMACS Series in Discrete
Mathematics and Theoretical Computer Science, vol. 56, (A. Barg
and S. Litsyn, eds.) American Mathematical Society, 2001.
- ``Minimum distance bounds for
s-regular codes.''
Designs, Codes, and Crypt. 21, Issue 1/3 (2000), 181-187.
(Proceedings of the conference ``GEOMETRIC AND ALGEBRAIC
COMBINATORICS'' in honour of the 80th birthday of J.J. Seidel,
August 15-20, 1999.)
- ``Linear programming bounds for ordered orthogonal
arrays and (T,M,S)-nets.'' pp. 368--376, in:
Monte Carlo and Quasi-Monte Carlo Methods 1998: Proceedings of a
Conference held at the Claremont Graduate University,
Claremont, California, USA, June 22-26, 1998. H. Niederreiter and
J. Spanier, eds.
- ``Association schemes for ordered orthogonal
arrays and (T,M,S)-nets.'' (with
D.R. Stinson),
Canad. J. Math. 51, no. 2
(1999), 326-346.
- ``A generalized Rao bound for ordered orthogonal
arrays and (t,m,s)-nets.'' (with
D.R. Stinson),
Canadian Math. Bulletin 42, no. 3
(1999), 359-370.
- ``Designs in product association schemes,''
Designs, Codes, and Crypt. 16, no. 3 (1999), 271-289.
- ``Completely regular designs,''
J. Combin. Designs
6, no. 4 (1998), 261-273.
- ``Mixed block designs,''
J. Combin. Designs
6, no. 2 (1998), 151-163.
- ``The stipulation polynomial of a uniquely list-colorable graph,''
(with J.H.Dinitz)
Australasian J. Combin. 11 (1995), 105-115.
- ``Anticodes for the Grassman and bilinear forms graphs,''
(with X.J. Zhu)
Designs, Codes, and Crypt. 6, no. 1 (1995), 73-79.
- ``Quotients of association schemes,'' (with
C.D. Godsil)
J. Combin. Th., Ser. A
69, no. 2 (1995), 185-199.
- ``Completely regular designs of strength one,'' J. Alg. Combin.
3 (1994), 177-185.
Unpublished manuscripts:
Some projects in progress:
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