Information on Result #718726
Linear OA(9131, 382, F9, 53) (dual of [382, 251, 54]-code), using construction XX applied to C1 = C([90,139]), C2 = C([87,136]), C3 = C1 + C2 = C([90,136]), and C∩ = C1 ∩ C2 = C([87,139]) based on
- linear OA(9121, 364, F9, 50) (dual of [364, 243, 51]-code), using the BCH-code C(I) with length 364 | 93−1, defining interval I = {90,91,…,139}, and designed minimum distance d ≥ |I|+1 = 51 [i]
- linear OA(9118, 364, F9, 50) (dual of [364, 246, 51]-code), using the BCH-code C(I) with length 364 | 93−1, defining interval I = {87,88,…,136}, and designed minimum distance d ≥ |I|+1 = 51 [i]
- linear OA(9127, 364, F9, 53) (dual of [364, 237, 54]-code), using the BCH-code C(I) with length 364 | 93−1, defining interval I = {87,88,…,139}, and designed minimum distance d ≥ |I|+1 = 54 [i]
- linear OA(9112, 364, F9, 47) (dual of [364, 252, 48]-code), using the BCH-code C(I) with length 364 | 93−1, defining interval I = {90,91,…,136}, and designed minimum distance d ≥ |I|+1 = 48 [i]
- linear OA(92, 10, F9, 2) (dual of [10, 8, 3]-code or 10-arc in PG(1,9)), using
- extended Reed–Solomon code RSe(8,9) [i]
- Hamming code H(2,9) [i]
- linear OA(92, 8, F9, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,9)), using
- discarding factors / shortening the dual code based on linear OA(92, 9, F9, 2) (dual of [9, 7, 3]-code or 9-arc in PG(1,9)), using
- Reed–Solomon code RS(7,9) [i]
- discarding factors / shortening the dual code based on linear OA(92, 9, F9, 2) (dual of [9, 7, 3]-code or 9-arc in PG(1,9)), 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(9131, 191, F9, 2, 53) (dual of [(191, 2), 251, 54]-NRT-code) | [i] | OOA Folding | |