Information on Result #718677
Linear OA(9117, 375, F9, 47) (dual of [375, 258, 48]-code), using construction XX applied to C1 = C([46,91]), C2 = C([52,92]), C3 = C1 + C2 = C([52,91]), and C∩ = C1 ∩ C2 = C([46,92]) based on
- linear OA(9109, 364, F9, 46) (dual of [364, 255, 47]-code), using the BCH-code C(I) with length 364 | 93−1, defining interval I = {46,47,…,91}, and designed minimum distance d ≥ |I|+1 = 47 [i]
- linear OA(9109, 364, F9, 41) (dual of [364, 255, 42]-code), using the BCH-code C(I) with length 364 | 93−1, defining interval I = {52,53,…,92}, and designed minimum distance d ≥ |I|+1 = 42 [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 = {46,47,…,92}, and designed minimum distance d ≥ |I|+1 = 48 [i]
- linear OA(9106, 364, F9, 40) (dual of [364, 258, 41]-code), using the BCH-code C(I) with length 364 | 93−1, defining interval I = {52,53,…,91}, and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(95, 8, F9, 5) (dual of [8, 3, 6]-code or 8-arc in PG(4,9)), using
- discarding factors / shortening the dual code based on linear OA(95, 9, F9, 5) (dual of [9, 4, 6]-code or 9-arc in PG(4,9)), using
- Reed–Solomon code RS(4,9) [i]
- discarding factors / shortening the dual code based on linear OA(95, 9, F9, 5) (dual of [9, 4, 6]-code or 9-arc in PG(4,9)), using
- 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(9117, 187, F9, 2, 47) (dual of [(187, 2), 257, 48]-NRT-code) | [i] | OOA Folding | |