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
The matrices that were available at that time are listed as Construction 24 in [1]. The preprint [2] cited there has apparently never been published.
Construction “e” in [3].
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: 2015-09-03.
http://mint.sbg.ac.at/desc_NEdelCodeEmbeddings.html