Information on Result #719731
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 = {63,64,…,91}, 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(989, 759, F9, 30) (dual of [759, 670, 31]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(988, 758, F9, 30) (dual of [758, 670, 31]-code) | [i] | ✔ | |
| 6 | Linear OA(986, 753, F9, 30) (dual of [753, 667, 31]-code) | [i] | ✔ | |
| 7 | Linear OA(992, 762, F9, 31) (dual of [762, 670, 32]-code) | [i] | ✔ | |
| 8 | Linear OA(984, 747, F9, 30) (dual of [747, 663, 31]-code) | [i] | ✔ | |
| 9 | Linear OA(990, 757, F9, 31) (dual of [757, 667, 32]-code) | [i] | ✔ | |
| 10 | Linear OA(983, 744, F9, 30) (dual of [744, 661, 31]-code) | [i] | ✔ | |
| 11 | Linear OA(982, 741, F9, 30) (dual of [741, 659, 31]-code) | [i] | ✔ | |
| 12 | Linear OA(988, 751, F9, 31) (dual of [751, 663, 32]-code) | [i] | ✔ | |
| 13 | Linear OA(981, 739, F9, 30) (dual of [739, 658, 31]-code) | [i] | ✔ | |
| 14 | Linear OA(987, 748, F9, 31) (dual of [748, 661, 32]-code) | [i] | ✔ | |
| 15 | Linear OA(986, 745, F9, 31) (dual of [745, 659, 32]-code) | [i] | ✔ | |
| 16 | Linear OA(985, 743, F9, 31) (dual of [743, 658, 32]-code) | [i] | ✔ | |
| 17 | Linear OA(997, 760, F9, 33) (dual of [760, 663, 34]-code) | [i] | ✔ | |
| 18 | Linear OA(9110, 759, F9, 38) (dual of [759, 649, 39]-code) | [i] | ✔ | |