Information on Result #719194
Linear OA(958, 728, F9, 22) (dual of [728, 670, 23]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−9,−8,…,12}, and designed minimum distance d ≥ |I|+1 = 23
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 Expurgated Narrow-Sense BCH-Codes [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(958, 534, F9, 2, 22) (dual of [(534, 2), 1010, 23]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(958, 534, F9, 3, 22) (dual of [(534, 3), 1544, 23]-NRT-code) | [i] | ||
| 3 | Digital (36, 58, 534)-net over F9 | [i] | ||
| 4 | Linear OA(972, 768, F9, 22) (dual of [768, 696, 23]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(971, 765, F9, 22) (dual of [765, 694, 23]-code) | [i] | ✔ | |
| 6 | Linear OA(970, 763, F9, 22) (dual of [763, 693, 23]-code) | [i] | ✔ | |
| 7 | Linear OA(977, 765, F9, 24) (dual of [765, 688, 25]-code) | [i] | ✔ | |
| 8 | Linear OA(976, 763, F9, 24) (dual of [763, 687, 25]-code) | [i] | ✔ | |
| 9 | Linear OA(981, 768, F9, 25) (dual of [768, 687, 26]-code) | [i] | ✔ | |
| 10 | Linear OA(986, 774, F9, 26) (dual of [774, 688, 27]-code) | [i] | ✔ | |
| 11 | Linear OA(985, 772, F9, 26) (dual of [772, 687, 27]-code) | [i] | ✔ | |
| 12 | Linear OA(992, 784, F9, 27) (dual of [784, 692, 28]-code) | [i] | ✔ | |
| 13 | Linear OA(992, 780, F9, 28) (dual of [780, 688, 29]-code) | [i] | ✔ | |
| 14 | Linear OA(991, 778, F9, 28) (dual of [778, 687, 29]-code) | [i] | ✔ | |
| 15 | Linear OA(996, 783, F9, 29) (dual of [783, 687, 30]-code) | [i] | ✔ | |