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: 2008-04-04. http://mint.sbg.ac.at/desc_CBoundB4T1.html

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