Information on Result #719838
Linear OA(979, 749, F9, 28) (dual of [749, 670, 29]-code), using construction XX applied to C1 = C([76,100]), C2 = C([73,96]), C3 = C1 + C2 = C([76,96]), and C∩ = C1 ∩ C2 = C([73,100]) based on
- linear OA(967, 728, F9, 25) (dual of [728, 661, 26]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {76,77,…,100}, and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(964, 728, F9, 24) (dual of [728, 664, 25]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {73,74,…,96}, and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(973, 728, F9, 28) (dual of [728, 655, 29]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {73,74,…,100}, and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(958, 728, F9, 21) (dual of [728, 670, 22]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {76,77,…,96}, and designed minimum distance d ≥ |I|+1 = 22 [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.