Linear Code Embeddings Found in a Computer Search

Edel publishes a number of generator matrices for digital (t, m, s)-nets over F2, F3, F4, and F5 on his home page (http://www.mathi.uni-heidelberg.de/~yves/Matritzen/OOAs/OOAMatIndex.html). The matrices have been obtained by a computer search for possible net-embeddings of linear codes.

The claimed t-Parameters were confirmed by the MinT project using the HIntLib library.

See Also

References

[1]Andrew T. Clayman, Kenneth Mark Lawrence, Gary L. Mullen, Harald Niederreiter, and Neil J. A. Sloane.
Updated tables of parameters of (t, m, s)-nets.
Journal of Combinatorial Designs, 7(5):381–393, 1999.
doi:10.1002/(SICI)1520-6610(1999)7:5<381::AID-JCD7>3.0.CO;2-S MR1702298 (2000d:05014)
[2]Yves Edel.
Some good (t, m, s)-nets.
Preprint.
[3]Jürgen Bierbrauer, Yves Edel, and Wolfgang Ch. Schmid.
Coding-theoretic constructions for (t, m, s)-nets and ordered orthogonal arrays.
Journal of Combinatorial Designs, 10(6):403–418, 2002.
doi:10.1002/jcd.10015

Copyright

Copyright © 2004, 2005, 2006, 2007, 2008, 2009, 2010 by Rudolf Schürer and Wolfgang Ch. Schmid.
Cite this as: Rudolf Schürer and Wolfgang Ch. Schmid. “Linear Code Embeddings Found in a Computer Search.” From MinT—the database of optimal net, code, OA, and OOA parameters. Version: 2008-04-04. http://mint.sbg.ac.at/desc_NEdelCodeEmbeddings.html

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