Information on Result #720876
Linear OA(9149, 777, F9, 50) (dual of [777, 628, 51]-code), using construction XX applied to C1 = C([55,100]), C2 = C([51,92]), C3 = C1 + C2 = C([55,92]), 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(9112, 728, F9, 42) (dual of [728, 616, 43]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {51,52,…,92}, and designed minimum distance d ≥ |I|+1 = 43 [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(9100, 728, F9, 38) (dual of [728, 628, 39]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {55,56,…,92}, and designed minimum distance d ≥ |I|+1 = 39 [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(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(9149, 388, F9, 2, 50) (dual of [(388, 2), 627, 51]-NRT-code) | [i] | OOA Folding | |