A Result by Landjev, Maruta, and Hill
In [1] it is shown that a [51, 4, 37]-code over F4 cannot exist. The proof is geometrical and relies heavily on results about the structure of certain sets of points in the projective space PG(2, 4).
References
[1] | Ivan N. Landgev, Tatsuya Maruta, and Raymond Hill. On the nonexistence of quaternary [51, 4, 37] codes. Finite Fields and Their Applications, 2(1):96–110, January 1996. doi:10.1006/ffta.1996.0007 |
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 Landjev, Maruta, and Hill.”
From MinT—the database of optimal net, code, OA, and OOA parameters.
Version: 2024-09-05.
http://mint.sbg.ac.at/desc_CBoundB4T1.html