Information on Result #720049
Linear OA(990, 748, F9, 32) (dual of [748, 658, 33]-code), using construction XX applied to C1 = C([724,25]), C2 = C([0,27]), C3 = C1 + C2 = C([0,25]), and C∩ = C1 ∩ C2 = C([724,27]) based on
- linear OA(982, 728, F9, 30) (dual of [728, 646, 31]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−4,−3,…,25}, and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(973, 728, F9, 28) (dual of [728, 655, 29]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [0,27], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(985, 728, F9, 32) (dual of [728, 643, 33]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−4,−3,…,27}, and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(970, 728, F9, 26) (dual of [728, 658, 27]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [0,25], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(94, 16, F9, 3) (dual of [16, 12, 4]-code or 16-cap in PG(3,9)), using
- linear OA(91, 4, F9, 1) (dual of [4, 3, 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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(990, 374, F9, 2, 32) (dual of [(374, 2), 658, 33]-NRT-code) | [i] | OOA Folding | |