A.V. Iampolskaia, Alexei N. Skorobogatov, E.A. Sorokin
Abstract
We compute the number of MDS codes of length 9 and dimension 3 over all finite fields, or, what is essentially equivalent, the number of 9-arcs in the projective plane over a finite field.
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We compute the number of MDS codes of length 9 and dimension 3 over all finite fields, or, what is essentially equivalent, the number of 9-arcs in the projective plane over a finite field.
Key concepts: Finite field, Finite geometry, Mathematics, Dimension (graph theory), Projective plane, Discrete mathematics, Field (mathematics), Combinatorics