A Code by Bierbrauer, Marcugini, and Pambianco

In [1] codes with a similar automorphism group as the [16, 4, 12]-code over F8 from [2], are studied. The resulting family of codes includes the extended binary Hamming codes, the Hexacode, the Golay codes as well as the following new codes:

A [28, 7, 18]- and a [32, 8, 20]-code over F8 and a [39, 13, 17]-code over F4.

References

[1]Jürgen Bierbrauer, Stefano Marcugini, and Fernanda Pambianco.
A family of highly symmetric codes.
IEEE Transactions on Information Theory, 51(10):3665–3668, October 2005.
doi:10.1109/TIT.2005.855607 MR2237534 (2007f:94096)
[2]Stefano Marcugini, Alfredo Milani, and Fernanda Pambianco.
NMDS codes of maximal length over Fq, 8 ≤ q ≤ 11.
IEEE Transactions on Information Theory, 48(4):963–966, April 2002.
doi:10.1109/18.992802

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. “A Code by Bierbrauer, Marcugini, and Pambianco.” From MinT—the database of optimal net, code, OA, and OOA parameters. Version: 2008-04-04. http://mint.sbg.ac.at/desc_CBierbrauerMarcuginiPambianco.html

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