Information on Result #719990
Linear OA(986, 743, F9, 31) (dual of [743, 657, 32]-code), using construction XX applied to C1 = C([62,90]), C2 = C([66,92]), C3 = C1 + C2 = C([66,90]), and C∩ = C1 ∩ C2 = C([62,92]) based on
- linear OA(978, 728, F9, 29) (dual of [728, 650, 30]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {62,63,…,90}, and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(973, 728, F9, 27) (dual of [728, 655, 28]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {66,67,…,92}, and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(982, 728, F9, 31) (dual of [728, 646, 32]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {62,63,…,92}, and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(969, 728, F9, 25) (dual of [728, 659, 26]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {66,67,…,90}, and designed minimum distance d ≥ |I|+1 = 26 [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.