Information on Result #719911
Linear OA(970, 728, F9, 26) (dual of [728, 658, 27]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {67,68,…,92}, and designed minimum distance d ≥ |I|+1 = 27
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 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(970, 666, F9, 2, 26) (dual of [(666, 2), 1262, 27]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(970, 666, F9, 3, 26) (dual of [(666, 3), 1928, 27]-NRT-code) | [i] | ||
| 3 | Digital (44, 70, 666)-net over F9 | [i] | ||
| 4 | Linear OA(983, 743, F9, 30) (dual of [743, 660, 31]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(978, 739, F9, 29) (dual of [739, 661, 30]-code) | [i] | ✔ | |
| 6 | Linear OA(9110, 786, F9, 34) (dual of [786, 676, 35]-code) | [i] | ✔ | |
| 7 | Linear OA(9109, 783, F9, 34) (dual of [783, 674, 35]-code) | [i] | ✔ | |
| 8 | Linear OA(9108, 781, F9, 34) (dual of [781, 673, 35]-code) | [i] | ✔ | |
| 9 | Linear OA(988, 749, F9, 31) (dual of [749, 661, 32]-code) | [i] | ✔ | |
| 10 | Linear OA(983, 744, F9, 30) (dual of [744, 661, 31]-code) | [i] | ✔ | |
| 11 | Linear OA(982, 741, F9, 30) (dual of [741, 659, 31]-code) | [i] | ✔ | |
| 12 | Linear OA(9107, 777, F9, 34) (dual of [777, 670, 35]-code) | [i] | ✔ | |
| 13 | Linear OA(993, 755, F9, 32) (dual of [755, 662, 33]-code) | [i] | ✔ | |
| 14 | Linear OA(987, 747, F9, 31) (dual of [747, 660, 32]-code) | [i] | ✔ | |
| 15 | Linear OA(9106, 774, F9, 34) (dual of [774, 668, 35]-code) | [i] | ✔ | |
| 16 | Linear OA(9105, 772, F9, 34) (dual of [772, 667, 35]-code) | [i] | ✔ | |
| 17 | Linear OA(998, 760, F9, 33) (dual of [760, 662, 34]-code) | [i] | ✔ | |
| 18 | Linear OA(992, 753, F9, 32) (dual of [753, 661, 33]-code) | [i] | ✔ | |
| 19 | Linear OA(9104, 768, F9, 34) (dual of [768, 664, 35]-code) | [i] | ✔ | |
| 20 | Linear OA(997, 758, F9, 33) (dual of [758, 661, 34]-code) | [i] | ✔ | |
| 21 | Linear OA(9103, 765, F9, 34) (dual of [765, 662, 35]-code) | [i] | ✔ | |
| 22 | Linear OA(9102, 763, F9, 34) (dual of [763, 661, 35]-code) | [i] | ✔ | |
| 23 | Linear OA(9110, 766, F9, 37) (dual of [766, 656, 38]-code) | [i] | ✔ | |
| 24 | Linear OA(9109, 764, F9, 37) (dual of [764, 655, 38]-code) | [i] | ✔ | |
| 25 | Linear OA(9115, 771, F9, 38) (dual of [771, 656, 39]-code) | [i] | ✔ | |
| 26 | Linear OA(9114, 769, F9, 38) (dual of [769, 655, 39]-code) | [i] | ✔ | |
| 27 | Linear OA(9119, 774, F9, 39) (dual of [774, 655, 40]-code) | [i] | ✔ | |
| 28 | Linear OA(9123, 778, F9, 40) (dual of [778, 655, 41]-code) | [i] | ✔ | |
| 29 | Linear OA(9130, 788, F9, 41) (dual of [788, 658, 42]-code) | [i] | ✔ | |
| 30 | Linear OA(9128, 783, F9, 41) (dual of [783, 655, 42]-code) | [i] | ✔ | |
| 31 | Linear OA(9136, 794, F9, 42) (dual of [794, 658, 43]-code) | [i] | ✔ | |