Information on Result #719029
Linear OA(943, 728, F9, 16) (dual of [728, 685, 17]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {77,78,…,92}, and designed minimum distance d ≥ |I|+1 = 17
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 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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(943, 544, F9, 2, 16) (dual of [(544, 2), 1045, 17]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(943, 544, F9, 3, 16) (dual of [(544, 3), 1589, 17]-NRT-code) | [i] | ||
| 3 | Digital (27, 43, 544)-net over F9 | [i] | ||
| 4 | Linear OA(952, 758, F9, 16) (dual of [758, 706, 17]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(956, 743, F9, 20) (dual of [743, 687, 21]-code) | [i] | ✔ | |
| 6 | Linear OA(961, 749, F9, 21) (dual of [749, 688, 22]-code) | [i] | ✔ | |
| 7 | Linear OA(956, 744, F9, 20) (dual of [744, 688, 21]-code) | [i] | ✔ | |
| 8 | Linear OA(955, 741, F9, 20) (dual of [741, 686, 21]-code) | [i] | ✔ | |
| 9 | Linear OA(980, 777, F9, 24) (dual of [777, 697, 25]-code) | [i] | ✔ | |
| 10 | Linear OA(966, 755, F9, 22) (dual of [755, 689, 23]-code) | [i] | ✔ | |
| 11 | Linear OA(960, 747, F9, 21) (dual of [747, 687, 22]-code) | [i] | ✔ | |
| 12 | Linear OA(979, 774, F9, 24) (dual of [774, 695, 25]-code) | [i] | ✔ | |
| 13 | Linear OA(978, 772, F9, 24) (dual of [772, 694, 25]-code) | [i] | ✔ | |
| 14 | Linear OA(971, 760, F9, 23) (dual of [760, 689, 24]-code) | [i] | ✔ | |
| 15 | Linear OA(965, 753, F9, 22) (dual of [753, 688, 23]-code) | [i] | ✔ | |
| 16 | Linear OA(977, 768, F9, 24) (dual of [768, 691, 25]-code) | [i] | ✔ | |
| 17 | Linear OA(970, 758, F9, 23) (dual of [758, 688, 24]-code) | [i] | ✔ | |
| 18 | Linear OA(976, 765, F9, 24) (dual of [765, 689, 25]-code) | [i] | ✔ | |
| 19 | Linear OA(975, 763, F9, 24) (dual of [763, 688, 25]-code) | [i] | ✔ | |
| 20 | Linear OA(974, 759, F9, 24) (dual of [759, 685, 25]-code) | [i] | ✔ | |
| 21 | Linear OA(982, 765, F9, 26) (dual of [765, 683, 27]-code) | [i] | ✔ | |
| 22 | Linear OA(981, 763, F9, 26) (dual of [763, 682, 27]-code) | [i] | ✔ | |
| 23 | Linear OA(988, 771, F9, 28) (dual of [771, 683, 29]-code) | [i] | ✔ | |
| 24 | Linear OA(987, 769, F9, 28) (dual of [769, 682, 29]-code) | [i] | ✔ | |
| 25 | Linear OA(992, 774, F9, 29) (dual of [774, 682, 30]-code) | [i] | ✔ | |
| 26 | Linear OA(997, 780, F9, 30) (dual of [780, 683, 31]-code) | [i] | ✔ | |
| 27 | Linear OA(996, 778, F9, 30) (dual of [778, 682, 31]-code) | [i] | ✔ | |
| 28 | Linear OA(9103, 788, F9, 31) (dual of [788, 685, 32]-code) | [i] | ✔ | |
| 29 | Linear OA(9102, 785, F9, 31) (dual of [785, 683, 32]-code) | [i] | ✔ | |
| 30 | Linear OA(9101, 783, F9, 31) (dual of [783, 682, 32]-code) | [i] | ✔ | |