Information on Result #720536
Linear OA(9110, 743, F9, 40) (dual of [743, 633, 41]-code), using construction XX applied to C1 = C([53,90]), C2 = C([57,92]), C3 = C1 + C2 = C([57,90]), and C∩ = C1 ∩ C2 = C([53,92]) based on
- linear OA(9102, 728, F9, 38) (dual of [728, 626, 39]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {53,54,…,90}, and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(997, 728, F9, 36) (dual of [728, 631, 37]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {57,58,…,92}, and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(9106, 728, F9, 40) (dual of [728, 622, 41]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {53,54,…,92}, and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(993, 728, F9, 34) (dual of [728, 635, 35]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {57,58,…,90}, and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(93, 10, F9, 3) (dual of [10, 7, 4]-code or 10-arc in PG(2,9) or 10-cap in PG(2,9)), using
- extended Reed–Solomon code RSe(7,9) [i]
- oval in PG(2, 9) [i]
- linear OA(91, 5, F9, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(91, 9, F9, 1) (dual of [9, 8, 2]-code), using
- Reed–Solomon code RS(8,9) [i]
- discarding factors / shortening the dual code based on linear OA(91, 9, F9, 1) (dual of [9, 8, 2]-code), 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.