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- W2969399013 abstract "An ( n , r ) -arc in PG ( 2 , q ) is a set of n points such that each line contains at most r of the selected points. It is well known that ( n , r ) -arcs in PG ( 2 , q ) correspond to projective linear codes. Let m r ( 2 , q ) denote the maximal number n of points for which an ( n , r ) -arc in PG ( 2 , q ) exists. In this paper we obtain improved lower bounds on m r ( 2 , q ) by explicitly constructing ( n , r ) -arcs. Some of the constructed ( n , r ) -arcs correspond to linear codes meeting the Griesmer bound. All results are obtained by integer linear programming." @default.
- W2969399013 created "2019-08-29" @default.
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- W2969399013 date "2019-08-21" @default.
- W2969399013 modified "2023-10-16" @default.
- W2969399013 title "New lower bounds on the size of (n,r)‐arcs in PG(2,q)" @default.
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- W2969399013 doi "https://doi.org/10.1002/jcd.21672" @default.
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