Information on Result #648290
Linear OA(2747, 104, F27, 30) (dual of [104, 57, 31]-code), using construction X applied to AG(F,56P) ⊂ AG(F,65P) based on
- linear OA(2739, 87, F27, 30) (dual of [87, 48, 31]-code), using algebraic-geometric code AG(F,56P) [i] based on function field F/F27 with g(F) = 9 and N(F) ≥ 88, using
- linear OA(2730, 87, F27, 21) (dual of [87, 57, 22]-code), using algebraic-geometric code AG(F,65P) [i] based on function field F/F27 with g(F) = 9 and N(F) ≥ 88 (see above)
- linear OA(278, 17, F27, 8) (dual of [17, 9, 9]-code or 17-arc in PG(7,27)), using
- discarding factors / shortening the dual code based on linear OA(278, 27, F27, 8) (dual of [27, 19, 9]-code or 27-arc in PG(7,27)), using
- Reed–Solomon code RS(19,27) [i]
- discarding factors / shortening the dual code based on linear OA(278, 27, F27, 8) (dual of [27, 19, 9]-code or 27-arc in PG(7,27)), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
None.