Information on Result #718695
Linear OA(9124, 377, F9, 51) (dual of [377, 253, 52]-code), using construction XX applied to C1 = C([360,45]), C2 = C([0,46]), C3 = C1 + C2 = C([0,45]), and C∩ = C1 ∩ C2 = C([360,46]) based on
- 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 = {−4,−3,…,45}, and designed minimum distance d ≥ |I|+1 = 51 [i]
- linear OA(9112, 364, F9, 47) (dual of [364, 252, 48]-code), using the expurgated narrow-sense BCH-code C(I) with length 364 | 93−1, defining interval I = [0,46], and designed minimum distance d ≥ |I|+1 = 48 [i]
- linear OA(9121, 364, F9, 51) (dual of [364, 243, 52]-code), using the BCH-code C(I) with length 364 | 93−1, defining interval I = {−4,−3,…,46}, and designed minimum distance d ≥ |I|+1 = 52 [i]
- linear OA(9109, 364, F9, 46) (dual of [364, 255, 47]-code), using the expurgated narrow-sense BCH-code C(I) with length 364 | 93−1, defining interval I = [0,45], and designed minimum distance d ≥ |I|+1 = 47 [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, 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 OOA(9124, 188, F9, 2, 51) (dual of [(188, 2), 252, 52]-NRT-code) | [i] | OOA Folding | |