Information on Result #718955
Linear OA(937, 728, F9, 14) (dual of [728, 691, 15]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {79,80,…,92}, and designed minimum distance d ≥ |I|+1 = 15
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(937, 476, F9, 2, 14) (dual of [(476, 2), 915, 15]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(937, 476, F9, 3, 14) (dual of [(476, 3), 1391, 15]-NRT-code) | [i] | ||
| 3 | Digital (23, 37, 476)-net over F9 | [i] | ||
| 4 | Linear OA(946, 758, F9, 14) (dual of [758, 712, 15]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(944, 753, F9, 14) (dual of [753, 709, 15]-code) | [i] | ✔ | |
| 6 | Linear OA(942, 747, F9, 14) (dual of [747, 705, 15]-code) | [i] | ✔ | |
| 7 | Linear OA(960, 755, F9, 20) (dual of [755, 695, 21]-code) | [i] | ✔ | |
| 8 | Linear OA(965, 760, F9, 21) (dual of [760, 695, 22]-code) | [i] | ✔ | |
| 9 | Linear OA(959, 753, F9, 20) (dual of [753, 694, 21]-code) | [i] | ✔ | |
| 10 | Linear OA(972, 770, F9, 22) (dual of [770, 698, 23]-code) | [i] | ✔ | |
| 11 | Linear OA(971, 768, F9, 22) (dual of [768, 697, 23]-code) | [i] | ✔ | |
| 12 | Linear OA(964, 758, F9, 21) (dual of [758, 694, 22]-code) | [i] | ✔ | |
| 13 | Linear OA(970, 765, F9, 22) (dual of [765, 695, 23]-code) | [i] | ✔ | |
| 14 | Linear OA(969, 763, F9, 22) (dual of [763, 694, 23]-code) | [i] | ✔ | |
| 15 | Linear OA(968, 759, F9, 22) (dual of [759, 691, 23]-code) | [i] | ✔ | |
| 16 | Linear OA(976, 765, F9, 24) (dual of [765, 689, 25]-code) | [i] | ✔ | |
| 17 | Linear OA(975, 763, F9, 24) (dual of [763, 688, 25]-code) | [i] | ✔ | |
| 18 | Linear OA(980, 768, F9, 25) (dual of [768, 688, 26]-code) | [i] | ✔ | |
| 19 | Linear OA(985, 774, F9, 26) (dual of [774, 689, 27]-code) | [i] | ✔ | |
| 20 | Linear OA(984, 772, F9, 26) (dual of [772, 688, 27]-code) | [i] | ✔ | |
| 21 | Linear OA(991, 780, F9, 28) (dual of [780, 689, 29]-code) | [i] | ✔ | |
| 22 | Linear OA(990, 778, F9, 28) (dual of [778, 688, 29]-code) | [i] | ✔ | |
| 23 | Linear OA(996, 785, F9, 29) (dual of [785, 689, 30]-code) | [i] | ✔ | |
| 24 | Linear OA(995, 783, F9, 29) (dual of [783, 688, 30]-code) | [i] | ✔ | |