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- W2034612794 abstract "In the projective plane $PG(2,q),$ $qequiv 2$ $(bmod~3)$ odd prime power, $ qgeq 11,$ an explicit construction of$frac{1}{2}(q+7)$-arcs sharing $ frac{1}{2}(q+3)$ points withan irreducible conic is considered. The construction is basedon 3-orbits of some projectivity, called 3-cycles. For every$q,$ variants of the construction give non-equivalent arcs. Itallows us to obtain complete $frac{1}{ 2}(q+7)$-arcs for$qleq 4523.$ Moreover, for $q=17,59$ there exist variants thatare incomplete arcs. Completing these variants we obtainedcomplete $( frac{1}{2}(q+3)+delta)$-arcs with $ delta =4,$$q=17,$ and $delta =3,$ $q=59$; a description of them as unionof some symmetrical objects is given." @default.
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- W2034612794 date "2013-01-01" @default.
- W2034612794 modified "2023-09-23" @default.
- W2034612794 title "A 3-cycle construction of complete arcs sharing $(q+3)/2$ points with a conic" @default.
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- W2034612794 doi "https://doi.org/10.3934/amc.2013.7.319" @default.
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