The non-existence of some NMDS codes and the extremal sizes of complete $$(n,3)$$ ( n , 3 ) -arcs in $$PG(2,16)$$ PG ( 2 , 16 )

Author:

Bartoli Daniele,Marcugini Stefano,Pambianco Fernanda

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computer Science Applications

Reference37 articles.

1. Alderson T.L., Bruen A.A.: Maximal AMDS codes. Appl. Algebra Eng. Commun. Comput. 19, 87–98 (2008).

2. Ball S.: Multiple blocking sets and arcs in finite planes. J. Lond. Math. Soc. 54, 581–593 (1996).

3. Bartoli D., Davydov A.A., Marcugini S., Pambianco F.: The minimum order of complete caps in $$PG(4,4)$$ PG ( 4 , 4 ) . Adv. Math. Commun. 5, 37–40 (2011).

4. Bartoli D., Davydov A.A., Faina G., Marcugini S., Pambianco F.: On sizes of complete arcs in $$PG(2, q)$$ PG ( 2 , q ) . Discret. Math. 312, 680–698 (2012).

5. Bartoli D., Marcugini S., Pambianco F.: New quantum caps in $$PG(4,4)$$ PG ( 4 , 4 ) . J. Comb. Des. 20, 448–466 (2012).

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