Information on Result #944607
Linear OOA(725, 2882404, F7, 3, 4) (dual of [(2882404, 3), 8647187, 5]-NRT-code), using OA 2-folding and stacking based on linear OA(725, 5764808, F7, 4) (dual of [5764808, 5764783, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(725, 5764809, F7, 4) (dual of [5764809, 5764784, 5]-code), using
- construction X applied to Ce(3) ⊂ Ce(2) [i] based on
- linear OA(725, 5764801, F7, 4) (dual of [5764801, 5764776, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 78−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(717, 5764801, F7, 3) (dual of [5764801, 5764784, 4]-code or 5764801-cap in PG(16,7)), using an extension Ce(2) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 78−1, defining interval I = [1,2], and designed minimum distance d ≥ |I|+1 = 3 [i]
- linear OA(70, 8, F7, 0) (dual of [8, 8, 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
- construction X applied to Ce(3) ⊂ Ce(2) [i] based on
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m 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(783, 6725606, F7, 3, 8) (dual of [(6725606, 3), 20176735, 9]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(791, 6725606, F7, 3, 9) (dual of [(6725606, 3), 20176727, 10]-NRT-code) | [i] | ||
| 3 | Linear OOA(7107, large, F7, 3, 9) | [i] | ||
| 4 | Linear OOA(7105, large, F7, 3, 9) | [i] | Generalized (u, u+v)-Construction for OOAs | |
| 5 | Linear OOA(793, large, F7, 3, 8) | [i] | ||
| 6 | Linear OOA(7104, 7792686, F7, 3, 9) (dual of [(7792686, 3), 23377954, 10]-NRT-code) | [i] | ||
| 7 | Linear OOA(792, large, F7, 3, 8) | [i] | ||
| 8 | Linear OOA(7104, large, F7, 3, 9) | [i] | ||
| 9 | Linear OOA(791, large, F7, 3, 8) | [i] | ||
| 10 | Linear OOA(7102, large, F7, 3, 9) | [i] | ||
| 11 | Linear OOA(789, large, F7, 3, 8) | [i] | ||
| 12 | Linear OOA(725, 2882404, F7, 4, 4) (dual of [(2882404, 4), 11529591, 5]-NRT-code) | [i] | Appending kth Column | |