Information on Result #719322
Linear OA(955, 749, F9, 19) (dual of [749, 694, 20]-code), using construction XX applied to C1 = C([85,100]), C2 = C([82,96]), C3 = C1 + C2 = C([85,96]), and C∩ = C1 ∩ C2 = C([82,100]) based on
- linear OA(943, 728, F9, 16) (dual of [728, 685, 17]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {85,86,…,100}, and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(940, 728, F9, 15) (dual of [728, 688, 16]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {82,83,…,96}, and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(949, 728, F9, 19) (dual of [728, 679, 20]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {82,83,…,100}, and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(934, 728, F9, 12) (dual of [728, 694, 13]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {85,86,…,96}, and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(94, 13, F9, 3) (dual of [13, 9, 4]-code or 13-cap in PG(3,9)), using
- linear OA(92, 8, F9, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,9)), using
- discarding factors / shortening the dual code based on linear OA(92, 9, F9, 2) (dual of [9, 7, 3]-code or 9-arc in PG(1,9)), using
- Reed–Solomon code RS(7,9) [i]
- discarding factors / shortening the dual code based on linear OA(92, 9, F9, 2) (dual of [9, 7, 3]-code or 9-arc in PG(1,9)), 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.