Information on Result #719199
Linear OA(949, 728, F9, 19) (dual of [728, 679, 20]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [0,18], and designed minimum distance d ≥ |I|+1 = 20
Mode: Constructive and linear.
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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(949, 435, F9, 2, 19) (dual of [(435, 2), 821, 20]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(949, 435, F9, 3, 19) (dual of [(435, 3), 1256, 20]-NRT-code) | [i] | ||
| 3 | Digital (30, 49, 435)-net over F9 | [i] | ||
| 4 | Linear OA(966, 761, F9, 21) (dual of [761, 695, 22]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(971, 766, F9, 22) (dual of [766, 695, 23]-code) | [i] | ✔ | |
| 6 | Linear OA(975, 770, F9, 23) (dual of [770, 695, 24]-code) | [i] | ✔ | |
| 7 | Linear OA(980, 775, F9, 24) (dual of [775, 695, 25]-code) | [i] | ✔ | |
| 8 | Linear OA(984, 779, F9, 25) (dual of [779, 695, 26]-code) | [i] | ✔ | |
| 9 | Linear OA(981, 775, F9, 25) (dual of [775, 694, 26]-code) | [i] | ✔ | |
| 10 | Linear OA(962, 746, F9, 22) (dual of [746, 684, 23]-code) | [i] | ✔ | |
| 11 | Linear OA(986, 778, F9, 26) (dual of [778, 692, 27]-code) | [i] | ✔ | |
| 12 | Linear OA(967, 752, F9, 23) (dual of [752, 685, 24]-code) | [i] | ✔ | |
| 13 | Linear OA(961, 742, F9, 22) (dual of [742, 681, 23]-code) | [i] | ✔ | |
| 14 | Linear OA(993, 783, F9, 28) (dual of [783, 690, 29]-code) | [i] | ✔ | |
| 15 | Linear OA(978, 766, F9, 25) (dual of [766, 688, 26]-code) | [i] | ✔ | |
| 16 | Linear OA(966, 748, F9, 23) (dual of [748, 682, 24]-code) | [i] | ✔ | |
| 17 | Linear OA(992, 784, F9, 27) (dual of [784, 692, 28]-code) | [i] | ✔ | |
| 18 | Linear OA(992, 780, F9, 28) (dual of [780, 688, 29]-code) | [i] | ✔ | |
| 19 | Linear OA(991, 778, F9, 28) (dual of [778, 687, 29]-code) | [i] | ✔ | |
| 20 | Linear OA(983, 769, F9, 26) (dual of [769, 686, 27]-code) | [i] | ✔ | |
| 21 | Linear OA(976, 761, F9, 25) (dual of [761, 685, 26]-code) | [i] | ✔ | |
| 22 | Linear OA(990, 774, F9, 28) (dual of [774, 684, 29]-code) | [i] | ✔ | |
| 23 | Linear OA(982, 767, F9, 26) (dual of [767, 685, 27]-code) | [i] | ✔ | |
| 24 | Linear OA(981, 764, F9, 26) (dual of [764, 683, 27]-code) | [i] | ✔ | |
| 25 | Linear OA(975, 757, F9, 25) (dual of [757, 682, 26]-code) | [i] | ✔ | |
| 26 | Linear OA(989, 775, F9, 27) (dual of [775, 686, 28]-code) | [i] | ✔ | |
| 27 | Linear OA(989, 771, F9, 28) (dual of [771, 682, 29]-code) | [i] | ✔ | |
| 28 | Linear OA(988, 769, F9, 28) (dual of [769, 681, 29]-code) | [i] | ✔ | |
| 29 | Linear OA(987, 770, F9, 27) (dual of [770, 683, 28]-code) | [i] | ✔ | |
| 30 | Linear OA(955, 734, F9, 21) (dual of [734, 679, 22]-code) | [i] | ✔ | |
| 31 | Linear OA(959, 738, F9, 22) (dual of [738, 679, 23]-code) | [i] | ✔ | |
| 32 | Linear OA(964, 743, F9, 23) (dual of [743, 679, 24]-code) | [i] | ✔ | |
| 33 | Linear OA(963, 741, F9, 23) (dual of [741, 678, 24]-code) | [i] | ✔ | |
| 34 | Linear OA(968, 747, F9, 24) (dual of [747, 679, 25]-code) | [i] | ✔ | |
| 35 | Linear OA(973, 752, F9, 25) (dual of [752, 679, 26]-code) | [i] | ✔ | |
| 36 | Linear OA(977, 756, F9, 26) (dual of [756, 679, 27]-code) | [i] | ✔ | |
| 37 | Linear OA(983, 762, F9, 27) (dual of [762, 679, 28]-code) | [i] | ✔ | |
| 38 | Linear OA(982, 759, F9, 27) (dual of [759, 677, 28]-code) | [i] | ✔ | |
| 39 | Linear OA(963, 742, F9, 23) (dual of [742, 679, 24]-code) | [i] | ✔ | |
| 40 | Linear OA(967, 745, F9, 24) (dual of [745, 678, 25]-code) | [i] | ✔ | |
| 41 | Linear OA(972, 751, F9, 25) (dual of [751, 679, 26]-code) | [i] | ✔ | |
| 42 | Linear OA(976, 751, F9, 26) (dual of [751, 675, 27]-code) | [i] | ✔ | |
| 43 | Linear OA(981, 760, F9, 27) (dual of [760, 679, 28]-code) | [i] | ✔ | |
| 44 | Linear OA(994, 770, F9, 30) (dual of [770, 676, 31]-code) | [i] | ✔ | |
| 45 | Linear OA(992, 765, F9, 30) (dual of [765, 673, 31]-code) | [i] | ✔ | |
| 46 | Linear OA(991, 763, F9, 30) (dual of [763, 672, 31]-code) | [i] | ✔ | |
| 47 | Linear OA(997, 770, F9, 31) (dual of [770, 673, 32]-code) | [i] | ✔ | |
| 48 | Linear OA(996, 768, F9, 31) (dual of [768, 672, 32]-code) | [i] | ✔ | |
| 49 | Linear OA(9101, 774, F9, 32) (dual of [774, 673, 33]-code) | [i] | ✔ | |
| 50 | Linear OA(9100, 772, F9, 32) (dual of [772, 672, 33]-code) | [i] | ✔ | |
| 51 | Linear OA(9105, 777, F9, 33) (dual of [777, 672, 34]-code) | [i] | ✔ | |
| 52 | Linear OA(9112, 788, F9, 34) (dual of [788, 676, 35]-code) | [i] | ✔ | |
| 53 | Linear OA(9110, 783, F9, 34) (dual of [783, 673, 35]-code) | [i] | ✔ | |
| 54 | Linear OA(9109, 781, F9, 34) (dual of [781, 672, 35]-code) | [i] | ✔ | |
| 55 | Linear OA(9115, 787, F9, 35) (dual of [787, 672, 36]-code) | [i] | ✔ | |