Information on Result #660851
Linear OA(9136, 756, F9, 48) (dual of [756, 620, 49]-code), using trace code based on linear OA(8168, 378, F81, 48) (dual of [378, 310, 49]-code), using
- construction X applied to AG(F,320P) ⊂ AG(F,325P) [i] based on
- linear OA(8164, 369, F81, 48) (dual of [369, 305, 49]-code), using algebraic-geometric code AG(F,320P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370, using
- linear OA(8159, 369, F81, 43) (dual of [369, 310, 44]-code), using algebraic-geometric code AG(F,325P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370 (see above)
- linear OA(814, 9, F81, 4) (dual of [9, 5, 5]-code or 9-arc in PG(3,81)), using
- discarding factors / shortening the dual code based on linear OA(814, 81, F81, 4) (dual of [81, 77, 5]-code or 81-arc in PG(3,81)), using
- Reed–Solomon code RS(77,81) [i]
- discarding factors / shortening the dual code based on linear OA(814, 81, F81, 4) (dual of [81, 77, 5]-code or 81-arc in PG(3,81)), 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.