Information on Result #720028
Linear OA(999, 766, F9, 33) (dual of [766, 667, 34]-code), using construction XX applied to C1 = C([72,100]), C2 = C([68,94]), C3 = C1 + C2 = C([72,94]), and C∩ = C1 ∩ C2 = C([68,100]) based on
- linear OA(976, 728, F9, 29) (dual of [728, 652, 30]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {72,73,…,100}, 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 = {68,69,…,94}, and designed minimum distance d ≥ |I|+1 = 28 [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 = {68,69,…,100}, and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(961, 728, F9, 23) (dual of [728, 667, 24]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {72,73,…,94}, and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(97, 22, F9, 5) (dual of [22, 15, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(97, 73, F9, 5) (dual of [73, 66, 6]-code), using
- linear OA(94, 16, F9, 3) (dual of [16, 12, 4]-code or 16-cap in PG(3,9)), 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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(999, 383, F9, 2, 33) (dual of [(383, 2), 667, 34]-NRT-code) | [i] | OOA Folding | |