Information on Result #718682
Linear OA(9120, 376, F9, 49) (dual of [376, 256, 50]-code), using construction XX applied to C1 = C([362,45]), C2 = C([1,46]), C3 = C1 + C2 = C([1,45]), and C∩ = C1 ∩ C2 = C([362,46]) based on
- linear OA(9115, 364, F9, 48) (dual of [364, 249, 49]-code), using the BCH-code C(I) with length 364 | 93−1, defining interval I = {−2,−1,…,45}, and designed minimum distance d ≥ |I|+1 = 49 [i]
- linear OA(9111, 364, F9, 46) (dual of [364, 253, 47]-code), using the narrow-sense BCH-code C(I) with length 364 | 93−1, defining interval I = [1,46], and designed minimum distance d ≥ |I|+1 = 47 [i]
- linear OA(9118, 364, F9, 49) (dual of [364, 246, 50]-code), using the BCH-code C(I) with length 364 | 93−1, defining interval I = {−2,−1,…,46}, and designed minimum distance d ≥ |I|+1 = 50 [i]
- linear OA(9108, 364, F9, 45) (dual of [364, 256, 46]-code), using the narrow-sense BCH-code C(I) with length 364 | 93−1, defining interval I = [1,45], and designed minimum distance d ≥ |I|+1 = 46 [i]
- 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]
- linear OA(90, 3, F9, 0) (dual of [3, 3, 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 OA(9120, 376, F9, 48) (dual of [376, 256, 49]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(9119, 375, F9, 48) (dual of [375, 256, 49]-code) | [i] | Truncation | |
| 3 | Linear OOA(9120, 188, F9, 2, 49) (dual of [(188, 2), 256, 50]-NRT-code) | [i] | OOA Folding | |