Information on Result #719131
Linear OA(949, 728, F9, 18) (dual of [728, 679, 19]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−6,−5,…,11}, and designed minimum distance d ≥ |I|+1 = 19
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(949, 611, F9, 2, 18) (dual of [(611, 2), 1173, 19]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(949, 611, F9, 3, 18) (dual of [(611, 3), 1784, 19]-NRT-code) | [i] | ||
| 3 | Digital (31, 49, 611)-net over F9 | [i] | ||
| 4 | Linear OA(959, 763, F9, 18) (dual of [763, 704, 19]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(960, 766, F9, 18) (dual of [766, 706, 19]-code) | [i] | ✔ | |
| 6 | Linear OA(957, 760, F9, 18) (dual of [760, 703, 19]-code) | [i] | ✔ | |
| 7 | Linear OA(956, 756, F9, 18) (dual of [756, 700, 19]-code) | [i] | ✔ | |