Information on Result #718987
Linear OA(940, 728, F9, 15) (dual of [728, 688, 16]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {78,79,…,92}, and designed minimum distance d ≥ |I|+1 = 16
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 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]
- 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(940, 510, F9, 2, 15) (dual of [(510, 2), 980, 16]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(940, 510, F9, 3, 15) (dual of [(510, 3), 1490, 16]-NRT-code) | [i] | ||
| 3 | Digital (25, 40, 510)-net over F9 | [i] | ||
| 4 | Linear OA(949, 758, F9, 15) (dual of [758, 709, 16]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(947, 753, F9, 15) (dual of [753, 706, 16]-code) | [i] | ✔ | |
| 6 | Linear OA(958, 749, F9, 20) (dual of [749, 691, 21]-code) | [i] | ✔ | |
| 7 | Linear OA(963, 755, F9, 21) (dual of [755, 692, 22]-code) | [i] | ✔ | |
| 8 | Linear OA(957, 747, F9, 20) (dual of [747, 690, 21]-code) | [i] | ✔ | |
| 9 | Linear OA(976, 774, F9, 23) (dual of [774, 698, 24]-code) | [i] | ✔ | |
| 10 | Linear OA(975, 772, F9, 23) (dual of [772, 697, 24]-code) | [i] | ✔ | |
| 11 | Linear OA(968, 760, F9, 22) (dual of [760, 692, 23]-code) | [i] | ✔ | |
| 12 | Linear OA(962, 753, F9, 21) (dual of [753, 691, 22]-code) | [i] | ✔ | |
| 13 | Linear OA(974, 768, F9, 23) (dual of [768, 694, 24]-code) | [i] | ✔ | |
| 14 | Linear OA(967, 758, F9, 22) (dual of [758, 691, 23]-code) | [i] | ✔ | |
| 15 | Linear OA(973, 765, F9, 23) (dual of [765, 692, 24]-code) | [i] | ✔ | |
| 16 | Linear OA(972, 763, F9, 23) (dual of [763, 691, 24]-code) | [i] | ✔ | |
| 17 | Linear OA(971, 759, F9, 23) (dual of [759, 688, 24]-code) | [i] | ✔ | |
| 18 | Linear OA(979, 765, F9, 25) (dual of [765, 686, 26]-code) | [i] | ✔ | |
| 19 | Linear OA(978, 763, F9, 25) (dual of [763, 685, 26]-code) | [i] | ✔ | |
| 20 | Linear OA(983, 768, F9, 26) (dual of [768, 685, 27]-code) | [i] | ✔ | |
| 21 | Linear OA(989, 774, F9, 28) (dual of [774, 685, 29]-code) | [i] | ✔ | |
| 22 | Linear OA(994, 780, F9, 29) (dual of [780, 686, 30]-code) | [i] | ✔ | |
| 23 | Linear OA(993, 778, F9, 29) (dual of [778, 685, 30]-code) | [i] | ✔ | |
| 24 | Linear OA(9100, 788, F9, 30) (dual of [788, 688, 31]-code) | [i] | ✔ | |
| 25 | Linear OA(999, 785, F9, 30) (dual of [785, 686, 31]-code) | [i] | ✔ | |
| 26 | Linear OA(998, 783, F9, 30) (dual of [783, 685, 31]-code) | [i] | ✔ | |
| 27 | Linear OA(9104, 789, F9, 31) (dual of [789, 685, 32]-code) | [i] | ✔ | |