Information on Result #721178
Linear OA(9117, 834, F9, 34) (dual of [834, 717, 35]-code), using construction XX applied to C1 = C([70,102]), C2 = C([74,103]), C3 = C1 + C2 = C([74,102]), and C∩ = C1 ∩ C2 = C([70,103]) based on
- linear OA(9110, 820, F9, 33) (dual of [820, 710, 34]-code), using the BCH-code C(I) with length 820 | 94−1, defining interval I = {70,71,…,102}, and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(9106, 820, F9, 30) (dual of [820, 714, 31]-code), using the BCH-code C(I) with length 820 | 94−1, defining interval I = {74,75,…,103}, and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(9114, 820, F9, 34) (dual of [820, 706, 35]-code), using the BCH-code C(I) with length 820 | 94−1, defining interval I = {70,71,…,103}, and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(9102, 820, F9, 29) (dual of [820, 718, 30]-code), using the BCH-code C(I) with length 820 | 94−1, defining interval I = {74,75,…,102}, and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(93, 10, F9, 3) (dual of [10, 7, 4]-code or 10-arc in PG(2,9) or 10-cap in PG(2,9)), using
- extended Reed–Solomon code RSe(7,9) [i]
- oval in PG(2, 9) [i]
- linear OA(90, 4, F9, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(90, s, F9, 0) (dual of [s, s, 1]-code) for arbitrarily large s, 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(9117, 417, F9, 2, 34) (dual of [(417, 2), 717, 35]-NRT-code) | [i] | OOA Folding | |