Information on Result #720271
Linear OA(9117, 770, F9, 39) (dual of [770, 653, 40]-code), using construction XX applied to C1 = C([55,90]), C2 = C([63,93]), C3 = C1 + C2 = C([63,90]), and C∩ = C1 ∩ C2 = C([55,93]) based on
- linear OA(996, 728, F9, 36) (dual of [728, 632, 37]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {55,56,…,90}, and designed minimum distance d ≥ |I|+1 = 37 [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 = {63,64,…,93}, and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(9103, 728, F9, 39) (dual of [728, 625, 40]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {55,56,…,93}, and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(975, 728, F9, 28) (dual of [728, 653, 29]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {63,64,…,90}, and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(912, 33, F9, 7) (dual of [33, 21, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(912, 40, F9, 7) (dual of [40, 28, 8]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 40 | 92−1, defining interval I = [0,6], and designed minimum distance d ≥ |I|+1 = 8 [i]
- discarding factors / shortening the dual code based on linear OA(912, 40, F9, 7) (dual of [40, 28, 8]-code), using
- 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]
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.