Information on Result #712642
Linear OA(721, 174, F7, 9) (dual of [174, 153, 10]-code), using construction X applied to C([24,32]) ⊂ C([25,32]) based on
- linear OA(721, 171, F7, 9) (dual of [171, 150, 10]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {24,25,…,32}, and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(718, 171, F7, 8) (dual of [171, 153, 9]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {25,26,…,32}, and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(70, 3, F7, 0) (dual of [3, 3, 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(721, 87, F7, 2, 9) (dual of [(87, 2), 153, 10]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(721, 58, F7, 3, 9) (dual of [(58, 3), 153, 10]-NRT-code) | [i] | ||