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DCC
2008
IEEE
14 years 8 months ago
Williamson matrices up to order 59
A recent result of Schmidt has brought Williamson matrices back into the spotlight. In this paper a new algorithm is introduced to search for hard to find Williamson matrices. We ...
Wolf H. Holzmann, Hadi Kharaghani, Behruz Tayfeh-R...
DCC
2008
IEEE
14 years 8 months ago
Homogeneous factorisations of Johnson graphs
For a graph , subgroups M < G Aut(), and an edge partition E of , the pair (, E) is a (G, M)-homogeneous factorisation if M is vertex-transitive on and fixes setwise each part...
Maria Cristeta Cuaresma, Michael Giudici, Cheryl E...
DCC
2008
IEEE
14 years 8 months ago
Re-pair Achieves High-Order Entropy
Re-Pair is a dictionary-based compression method invented in 1999 by Larsson and Moffat. Although its practical performance has been established through experiments, the method ha...
Gonzalo Navarro, Luís M. S. Russo
DCC
2008
IEEE
13 years 8 months ago
Small weight codewords in the codes arising from Desarguesian projective planes
We study codewords of small weight in the codes arising from Desarguesian projective planes. We first of all improve the results of K. Chouinard on codewords of small weight in th...
Veerle Fack, Szabolcs L. Fancsali, Leo Storme, Gee...
DCC
2008
IEEE
14 years 8 months ago
On the second weight of generalized Reed-Muller codes
: Not much is known about the weight distribution of the generalized Reed-Muller code RMq(s, m) when q > 2, s > 2 and m 2 . Even the second weight is only known for values o...
Olav Geil