A Result by Boukliev, Kapralov, Maruta, and Fukui
The nonexistence of the linear codes over ℤ5 with the following parameters is shown in [1]: [17, 4, 12], [44, 4, 34], [49, 4, 38], and [106, 4, 84] in Theorem 2.6, 3.6, 3.7, and 3.8, respectively. In all four cases the Griesmer bound is improved by 1.
References
| [1] | Iliya G. Boukliev, Stoyan N. Kapralov, Tatsuya Maruta, and Masaharu Fukui. Optimal linear codes of dimension 4 over F5. IEEE Transactions on Information Theory, 43(1):308–313, January 1997. doi:10.1109/18.567723 MR1606451 (98m:94042) |
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 Result by Boukliev, Kapralov, Maruta, and Fukui.”
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Version: 2015-09-03.
http://mint.sbg.ac.at/desc_CBoundB5N4.html