Existence Of (47,5)- Arcs in The Projective Plane PG (2,13)
AL-Rafidain Journal of Computer Sciences and Mathematics,
2004, Volume 1, Issue 1, Pages 7-15
AbstractIn this work we show the existence of complete (47,5)- arcs which are unknown until now. The upper bound for the
(k,5)- arcs is narrowed in the finite projective plane PG (2,13). The narrowing is fulfilled by finding complete (47,5)-arcs which are 372 arcs. However, only one (47,5)-complete arc out of the 372 is considered in this work. Furthermore the relation between complete (k, n)-arcs and minimal t-blocking sets is proved, in addition to between the connection of our arc and the code.
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