Information on Result #719196
Linear OA(952, 728, F9, 20) (dual of [728, 676, 21]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−9,−8,…,10}, and designed minimum distance d ≥ |I|+1 = 21
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 Expurgated Narrow-Sense BCH-Codes [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(952, 468, F9, 2, 20) (dual of [(468, 2), 884, 21]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(952, 468, F9, 3, 20) (dual of [(468, 3), 1352, 21]-NRT-code) | [i] | ||
| 3 | Digital (32, 52, 468)-net over F9 | [i] | ||
| 4 | Linear OA(971, 765, F9, 22) (dual of [765, 694, 23]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(970, 763, F9, 22) (dual of [763, 693, 23]-code) | [i] | ✔ | |
| 6 | Linear OA(975, 768, F9, 23) (dual of [768, 693, 24]-code) | [i] | ✔ | |
| 7 | Linear OA(980, 774, F9, 24) (dual of [774, 694, 25]-code) | [i] | ✔ | |
| 8 | Linear OA(979, 772, F9, 24) (dual of [772, 693, 25]-code) | [i] | ✔ | |
| 9 | Linear OA(984, 777, F9, 25) (dual of [777, 693, 26]-code) | [i] | ✔ | |
| 10 | Linear OA(988, 781, F9, 26) (dual of [781, 693, 27]-code) | [i] | ✔ | |