Information on Result #719672
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 = {72,73,…,100}, 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(996, 785, F9, 29) (dual of [785, 689, 30]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(995, 783, F9, 29) (dual of [783, 688, 30]-code) | [i] | ✔ | |
| 6 | Linear OA(994, 780, F9, 29) (dual of [780, 686, 30]-code) | [i] | ✔ | |
| 7 | Linear OA(993, 778, F9, 29) (dual of [778, 685, 30]-code) | [i] | ✔ | |
| 8 | Linear OA(992, 774, F9, 29) (dual of [774, 682, 30]-code) | [i] | ✔ | |
| 9 | Linear OA(991, 771, F9, 29) (dual of [771, 680, 30]-code) | [i] | ✔ | |
| 10 | Linear OA(990, 769, F9, 29) (dual of [769, 679, 30]-code) | [i] | ✔ | |
| 11 | Linear OA(989, 766, F9, 29) (dual of [766, 677, 30]-code) | [i] | ✔ | |
| 12 | Linear OA(988, 764, F9, 29) (dual of [764, 676, 30]-code) | [i] | ✔ | |
| 13 | Linear OA(994, 782, F9, 29) (dual of [782, 688, 30]-code) | [i] | ✔ | |
| 14 | Linear OA(992, 777, F9, 29) (dual of [777, 685, 30]-code) | [i] | ✔ | |
| 15 | Linear OA(991, 773, F9, 29) (dual of [773, 682, 30]-code) | [i] | ✔ | |
| 16 | Linear OA(989, 768, F9, 29) (dual of [768, 679, 30]-code) | [i] | ✔ | |
| 17 | Linear OA(987, 763, F9, 29) (dual of [763, 676, 30]-code) | [i] | ✔ | |
| 18 | Linear OA(994, 765, F9, 31) (dual of [765, 671, 32]-code) | [i] | ✔ | |
| 19 | Linear OA(993, 763, F9, 31) (dual of [763, 670, 32]-code) | [i] | ✔ | |
| 20 | Linear OA(990, 772, F9, 29) (dual of [772, 682, 30]-code) | [i] | ✔ | |
| 21 | Linear OA(998, 768, F9, 32) (dual of [768, 670, 33]-code) | [i] | ✔ | |
| 22 | Linear OA(9103, 774, F9, 33) (dual of [774, 671, 34]-code) | [i] | ✔ | |
| 23 | Linear OA(9102, 772, F9, 33) (dual of [772, 670, 34]-code) | [i] | ✔ | |
| 24 | Linear OA(997, 767, F9, 32) (dual of [767, 670, 33]-code) | [i] | ✔ | |
| 25 | Linear OA(9107, 777, F9, 34) (dual of [777, 670, 35]-code) | [i] | ✔ | |
| 26 | Linear OA(9101, 771, F9, 33) (dual of [771, 670, 34]-code) | [i] | ✔ | |
| 27 | Linear OA(9113, 786, F9, 35) (dual of [786, 673, 36]-code) | [i] | ✔ | |
| 28 | Linear OA(9112, 783, F9, 35) (dual of [783, 671, 36]-code) | [i] | ✔ | |
| 29 | Linear OA(9111, 781, F9, 35) (dual of [781, 670, 36]-code) | [i] | ✔ | |
| 30 | Linear OA(9106, 776, F9, 34) (dual of [776, 670, 35]-code) | [i] | ✔ | |
| 31 | Linear OA(999, 766, F9, 33) (dual of [766, 667, 34]-code) | [i] | ✔ | |
| 32 | Linear OA(9110, 780, F9, 35) (dual of [780, 670, 36]-code) | [i] | ✔ | |
| 33 | Linear OA(9121, 794, F9, 37) (dual of [794, 673, 38]-code) | [i] | ✔ | |
| 34 | Linear OA(9120, 791, F9, 37) (dual of [791, 671, 38]-code) | [i] | ✔ | |
| 35 | Linear OA(9119, 789, F9, 37) (dual of [789, 670, 38]-code) | [i] | ✔ | |
| 36 | Linear OA(995, 754, F9, 33) (dual of [754, 659, 34]-code) | [i] | ✔ | |