Information on Result #720918
Linear OA(9144, 766, F9, 50) (dual of [766, 622, 51]-code), using construction XX applied to C1 = C([55,100]), C2 = C([51,94]), C3 = C1 + C2 = C([55,94]), and C∩ = C1 ∩ C2 = C([51,100]) based on
- linear OA(9121, 728, F9, 46) (dual of [728, 607, 47]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {55,56,…,100}, and designed minimum distance d ≥ |I|+1 = 47 [i]
- linear OA(9118, 728, F9, 44) (dual of [728, 610, 45]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {51,52,…,94}, and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(9133, 728, F9, 50) (dual of [728, 595, 51]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {51,52,…,100}, and designed minimum distance d ≥ |I|+1 = 51 [i]
- linear OA(9106, 728, F9, 40) (dual of [728, 622, 41]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {55,56,…,94}, and designed minimum distance d ≥ |I|+1 = 41 [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(9144, 383, F9, 2, 50) (dual of [(383, 2), 622, 51]-NRT-code) | [i] | OOA Folding | |