(More detail later... will add links to papers as well as coauthors and journals)
I am interested in links between finite geometries and good error correcting codes.
Publications in Refereed Journals
T. L. Alderson, and K. Mellinger,
Maximal 2D-OOCs from Singer groups,
l ≤ 2.
Discrete Applied Mathematics, (in press), 2009.
T.L. Alderson, and András Gács,
On the Maximality of Linear Codes
Designs, Codes & Cryptography, (in press), 2009.
T.L. Alderson, and K. Mellinger, Partitions in finite geometry and related
constant composition codes, Innovations in Incidence Geometry. (in press)
T.L. Alderson, and K. Mellinger
Geometric
constructions of optimal optical orthogonal codes., Advances in
Mathematics of Communications, 2 (4), pp.451–467, 2008
T.L. Alderson, and K. Mellinger Families of optimal OOCs with l = 2. IEEE Transactions on Information Theory, 54 (8), pp. 3722-3724, 2008
T.L. Alderson, and A.A. Bruen., Maximal AMDS Codes, Applicable Algebra in Engineering, Communication and Computing. 19, no. 2, pp. 87-98, 2008
T.L. Alderson and A.A. Bruen Codes from cubic curves and their extensions , Electron. J. Combin., 15(1), R42, pp. 1-9, 2008.
T. L. Alderson, and A. A. Bruen, Coprimitive Sets and Inextendable Codes, Designs Codes & Cryptography, 47, 1-3, pp113-124, 2008.
T. L. Alderson, and K. Mellinger, Classes of Optical Orthogonal Codes from Arcs in Root Subspaces. Discrete Mathematics, 308, no. 7, pp. 1093-1101, 2008.
T. L. Alderson,
Bruck Nets and 2-Dimensional Codes.
Bulletin of the Institute of Combinatorics and its Applications, 52, pp. 33-44,
2008.
T. L. Alderson, and K. Mellinger,
Constructions of Optical Orthogonal Codes
from Finite Geometry. SIAM Journal on Discrete Mathematics, 21, no. 3,
pp. 785-793, 2007.
T. L. Alderson, Optical Orthogonal Codes and Arcs in PG(d,q), Finite Fields and Their Applications, 13, pp. 762-768, 2007
T. L. Alderson, A.A. Bruen, and R. Silverman, MDS Codes and Arcs in Projective spaces. J. Combinatorial Theory Series A , 114 ,6, pp.1101-1117, 2007.
T. L. Alderson, F.M. Allan, and M. H. Hamdan, On The Universality of the Von Mises Transformation, Int. J. Appl. Math, 20, 1 , pp. 109-122, 2007.
T. L. Alderson, (6,3)-MDS Codes Over an Alphabet of Size 4., Designs, Codes & Cryptography, 38 (1), pp. 31-40, 2006.
T. L. Alderson,
Some Generalizations of R\'edei's Theorem, Journal of
Discrete Mathematical Sciences and
Cryptography, 9 (1), pp. 97-106, 2006.
T. L. Alderson, Extending MDS Codes., Annals of Combinatorics, 9 (2), pp. 125-135, 2005.
T. L. Alderson,
Extending Arcs: An Elementary Proof., Electronic Journal
of Combinatorics, 12 (1), 2005.
Refereed Book Contributions:
T. L. Alderson, K. Mellinger, Optical Orthogonal Codes from Singer Groups, in Advances in Coding Theory and Cryptology, Series on Coding Theory and Cryptology, 2. World Scientific Publishing Co. Pte. Ltd., Hackensack, NJ, 2007. Editors: T. Shaska, W. C. Huffman, D. Joyner, V. Ustimenko . ISBN 978-981-270-701-7, pp.51-70
Submitted articles:
Referee/Editorial Work:
I am currently on the editorial board of the journal Contributions to Discrete Mathematics.
I am a referee/reviewer for the following: