Information on Result #719685
Linear OA(973, 728, F9, 28) (dual of [728, 655, 29]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {64,65,…,91}, and designed minimum distance d ≥ |I|+1 = 29
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 Expurgated Narrow-Sense BCH-Codes [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(973, 565, F9, 2, 28) (dual of [(565, 2), 1057, 29]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(973, 565, F9, 3, 28) (dual of [(565, 3), 1622, 29]-NRT-code) | [i] | ||
| 3 | Digital (45, 73, 565)-net over F9 | [i] | ||
| 4 | Linear OA(986, 759, F9, 29) (dual of [759, 673, 30]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(985, 758, F9, 29) (dual of [758, 673, 30]-code) | [i] | ✔ | |
| 6 | Linear OA(983, 753, F9, 29) (dual of [753, 670, 30]-code) | [i] | ✔ | |
| 7 | Linear OA(989, 762, F9, 30) (dual of [762, 673, 31]-code) | [i] | ✔ | |
| 8 | Linear OA(981, 747, F9, 29) (dual of [747, 666, 30]-code) | [i] | ✔ | |
| 9 | Linear OA(987, 757, F9, 30) (dual of [757, 670, 31]-code) | [i] | ✔ | |
| 10 | Linear OA(980, 744, F9, 29) (dual of [744, 664, 30]-code) | [i] | ✔ | |
| 11 | Linear OA(979, 741, F9, 29) (dual of [741, 662, 30]-code) | [i] | ✔ | |
| 12 | Linear OA(985, 751, F9, 30) (dual of [751, 666, 31]-code) | [i] | ✔ | |
| 13 | Linear OA(978, 739, F9, 29) (dual of [739, 661, 30]-code) | [i] | ✔ | |
| 14 | Linear OA(984, 748, F9, 30) (dual of [748, 664, 31]-code) | [i] | ✔ | |
| 15 | Linear OA(983, 745, F9, 30) (dual of [745, 662, 31]-code) | [i] | ✔ | |
| 16 | Linear OA(977, 735, F9, 29) (dual of [735, 658, 30]-code) | [i] | ✔ | |
| 17 | Linear OA(982, 743, F9, 30) (dual of [743, 661, 31]-code) | [i] | ✔ | |
| 18 | Linear OA(994, 760, F9, 32) (dual of [760, 666, 33]-code) | [i] | ✔ | |
| 19 | Linear OOA(973, 364, F9, 2, 28) (dual of [(364, 2), 655, 29]-NRT-code) | [i] | OOA Folding | |