Information on Result #721137
Linear OA(994, 833, F9, 27) (dual of [833, 739, 28]-code), using construction XX applied to C1 = C([192,217]), C2 = C([191,215]), C3 = C1 + C2 = C([192,215]), and C∩ = C1 ∩ C2 = C([191,217]) based on
- linear OA(989, 820, F9, 26) (dual of [820, 731, 27]-code), using the BCH-code C(I) with length 820 | 94−1, defining interval I = {192,193,…,217}, and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(985, 820, F9, 25) (dual of [820, 735, 26]-code), using the BCH-code C(I) with length 820 | 94−1, defining interval I = {191,192,…,215}, and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(993, 820, F9, 27) (dual of [820, 727, 28]-code), using the BCH-code C(I) with length 820 | 94−1, defining interval I = {191,192,…,217}, and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(981, 820, F9, 24) (dual of [820, 739, 25]-code), using the BCH-code C(I) with length 820 | 94−1, defining interval I = {192,193,…,215}, and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(91, 9, F9, 1) (dual of [9, 8, 2]-code), using
- Reed–Solomon code RS(8,9) [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(994, 416, F9, 2, 27) (dual of [(416, 2), 738, 28]-NRT-code) | [i] | OOA Folding | |