Information on Result #714295
Linear OA(728, 804, F7, 9) (dual of [804, 776, 10]-code), using construction X applied to C([130,138]) ⊂ C([131,138]) based on
- linear OA(728, 800, F7, 9) (dual of [800, 772, 10]-code), using the BCH-code C(I) with length 800 | 74−1, defining interval I = {130,131,…,138}, and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(724, 800, F7, 8) (dual of [800, 776, 9]-code), using the BCH-code C(I) with length 800 | 74−1, defining interval I = {131,132,…,138}, and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(70, 4, F7, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(70, s, F7, 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(728, 804, F7, 2, 9) (dual of [(804, 2), 1580, 10]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(728, 804, F7, 3, 9) (dual of [(804, 3), 2384, 10]-NRT-code) | [i] | ||
| 3 | Digital (19, 28, 804)-net over F7 | [i] | ||
| 4 | Linear OOA(728, 402, F7, 2, 9) (dual of [(402, 2), 776, 10]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(728, 268, F7, 3, 9) (dual of [(268, 3), 776, 10]-NRT-code) | [i] | ||
| 6 | Linear OOA(728, 200, F7, 9, 9) (dual of [(200, 9), 1772, 10]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |