Information on Result #985621
Linear OOA(9120, 19682, F9, 3, 27) (dual of [(19682, 3), 58926, 28]-NRT-code), using OOA 3-folding based on linear OA(9120, 59046, F9, 27) (dual of [59046, 58926, 28]-code), using
- discarding factors / shortening the dual code based on linear OA(9120, 59048, F9, 27) (dual of [59048, 58928, 28]-code), using
- 1 times truncation [i] based on linear OA(9121, 59049, F9, 28) (dual of [59049, 58928, 29]-code), using
- an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- 1 times truncation [i] based on linear OA(9121, 59049, F9, 28) (dual of [59049, 58928, 29]-code), 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(9135, 19702, F9, 3, 27) (dual of [(19702, 3), 58971, 28]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(9136, 19710, F9, 3, 27) (dual of [(19710, 3), 58994, 28]-NRT-code) | [i] | ||
| 3 | Linear OOA(9137, 19712, F9, 3, 27) (dual of [(19712, 3), 58999, 28]-NRT-code) | [i] | ||
| 4 | Linear OOA(9138, 19714, F9, 3, 27) (dual of [(19714, 3), 59004, 28]-NRT-code) | [i] | ||
| 5 | Linear OOA(9139, 19716, F9, 3, 27) (dual of [(19716, 3), 59009, 28]-NRT-code) | [i] | ||
| 6 | Linear OOA(9140, 19718, F9, 3, 27) (dual of [(19718, 3), 59014, 28]-NRT-code) | [i] | ||
| 7 | Linear OOA(9141, 19722, F9, 3, 27) (dual of [(19722, 3), 59025, 28]-NRT-code) | [i] | ||
| 8 | Linear OOA(9143, 19726, F9, 3, 27) (dual of [(19726, 3), 59035, 28]-NRT-code) | [i] | ||
| 9 | OOA(9143, 19730, S9, 3, 27) | [i] | ||