Information on Result #719605
Linear OA(976, 728, F9, 29) (dual of [728, 652, 30]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−9,−8,…,19}, and designed minimum distance d ≥ |I|+1 = 30
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]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(976, 596, F9, 2, 29) (dual of [(596, 2), 1116, 30]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(976, 596, F9, 3, 29) (dual of [(596, 3), 1712, 30]-NRT-code) | [i] | ||
| 3 | Digital (47, 76, 596)-net over F9 | [i] | ||
| 4 | Linear OA(996, 783, F9, 29) (dual of [783, 687, 30]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(995, 780, F9, 29) (dual of [780, 685, 30]-code) | [i] | ✔ | |
| 6 | Linear OA(994, 778, F9, 29) (dual of [778, 684, 30]-code) | [i] | ✔ | |
| 7 | Linear OA(993, 774, F9, 29) (dual of [774, 681, 30]-code) | [i] | ✔ | |
| 8 | Linear OA(995, 765, F9, 31) (dual of [765, 670, 32]-code) | [i] | ✔ | |
| 9 | Linear OA(994, 763, F9, 31) (dual of [763, 669, 32]-code) | [i] | ✔ | |
| 10 | Linear OA(999, 768, F9, 32) (dual of [768, 669, 33]-code) | [i] | ✔ | |
| 11 | Linear OA(9104, 774, F9, 33) (dual of [774, 670, 34]-code) | [i] | ✔ | |
| 12 | Linear OA(9103, 772, F9, 33) (dual of [772, 669, 34]-code) | [i] | ✔ | |
| 13 | Linear OA(9108, 777, F9, 34) (dual of [777, 669, 35]-code) | [i] | ✔ | |
| 14 | Linear OA(9115, 788, F9, 35) (dual of [788, 673, 36]-code) | [i] | ✔ | |
| 15 | Linear OA(9113, 783, F9, 35) (dual of [783, 670, 36]-code) | [i] | ✔ | |
| 16 | Linear OA(9112, 781, F9, 35) (dual of [781, 669, 36]-code) | [i] | ✔ | |