Information on Result #720139
Linear OA(993, 749, F9, 33) (dual of [749, 656, 34]-code), using construction XX applied to C1 = C([725,27]), C2 = C([1,29]), C3 = C1 + C2 = C([1,27]), and C∩ = C1 ∩ C2 = C([725,29]) based on
- 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 = {−3,−2,…,27}, and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(978, 728, F9, 29) (dual of [728, 650, 30]-code), using the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(988, 728, F9, 33) (dual of [728, 640, 34]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−3,−2,…,29}, and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(972, 728, F9, 27) (dual of [728, 656, 28]-code), using the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(94, 14, F9, 3) (dual of [14, 10, 4]-code or 14-cap in PG(3,9)), using
- linear OA(91, 7, F9, 1) (dual of [7, 6, 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(993, 374, F9, 2, 33) (dual of [(374, 2), 655, 34]-NRT-code) | [i] | OOA Folding | |