Information on Result #719760
Linear OA(982, 728, F9, 31) (dual of [728, 646, 32]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {70,71,…,100}, and designed minimum distance d ≥ |I|+1 = 32
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 Expurgated Narrow-Sense BCH-Codes [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(982, 659, F9, 2, 31) (dual of [(659, 2), 1236, 32]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(982, 659, F9, 3, 31) (dual of [(659, 3), 1895, 32]-NRT-code) | [i] | ||
| 3 | Digital (51, 82, 659)-net over F9 | [i] | ||
| 4 | Linear OA(9104, 789, F9, 31) (dual of [789, 685, 32]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(9103, 788, F9, 31) (dual of [788, 685, 32]-code) | [i] | ✔ | |
| 6 | Linear OA(9102, 785, F9, 31) (dual of [785, 683, 32]-code) | [i] | ✔ | |
| 7 | Linear OA(9101, 783, F9, 31) (dual of [783, 682, 32]-code) | [i] | ✔ | |
| 8 | Linear OA(999, 778, F9, 31) (dual of [778, 679, 32]-code) | [i] | ✔ | |
| 9 | Linear OA(998, 774, F9, 31) (dual of [774, 676, 32]-code) | [i] | ✔ | |
| 10 | Linear OA(997, 773, F9, 31) (dual of [773, 676, 32]-code) | [i] | ✔ | |
| 11 | Linear OA(996, 770, F9, 31) (dual of [770, 674, 32]-code) | [i] | ✔ | |
| 12 | Linear OA(995, 768, F9, 31) (dual of [768, 673, 32]-code) | [i] | ✔ | |
| 13 | Linear OA(994, 765, F9, 31) (dual of [765, 671, 32]-code) | [i] | ✔ | |
| 14 | Linear OA(993, 763, F9, 31) (dual of [763, 670, 32]-code) | [i] | ✔ | |
| 15 | Linear OA(9100, 782, F9, 31) (dual of [782, 682, 32]-code) | [i] | ✔ | |
| 16 | Linear OA(998, 777, F9, 31) (dual of [777, 679, 32]-code) | [i] | ✔ | |
| 17 | Linear OA(994, 767, F9, 31) (dual of [767, 673, 32]-code) | [i] | ✔ | |
| 18 | Linear OA(9100, 765, F9, 33) (dual of [765, 665, 34]-code) | [i] | ✔ | |
| 19 | Linear OA(999, 763, F9, 33) (dual of [763, 664, 34]-code) | [i] | ✔ | |
| 20 | Linear OA(996, 772, F9, 31) (dual of [772, 676, 32]-code) | [i] | ✔ | |
| 21 | Linear OA(9104, 768, F9, 34) (dual of [768, 664, 35]-code) | [i] | ✔ | |
| 22 | Linear OA(9109, 774, F9, 35) (dual of [774, 665, 36]-code) | [i] | ✔ | |
| 23 | Linear OA(9108, 772, F9, 35) (dual of [772, 664, 36]-code) | [i] | ✔ | |
| 24 | Linear OA(9103, 767, F9, 34) (dual of [767, 664, 35]-code) | [i] | ✔ | |
| 25 | Linear OA(9107, 771, F9, 35) (dual of [771, 664, 36]-code) | [i] | ✔ | |
| 26 | Linear OA(9115, 780, F9, 37) (dual of [780, 665, 38]-code) | [i] | ✔ | |
| 27 | Linear OA(9114, 778, F9, 37) (dual of [778, 664, 38]-code) | [i] | ✔ | |
| 28 | Linear OA(9121, 788, F9, 38) (dual of [788, 667, 39]-code) | [i] | ✔ | |
| 29 | Linear OA(9120, 785, F9, 38) (dual of [785, 665, 39]-code) | [i] | ✔ | |
| 30 | Linear OA(9119, 783, F9, 38) (dual of [783, 664, 39]-code) | [i] | ✔ | |
| 31 | Linear OA(9113, 777, F9, 37) (dual of [777, 664, 38]-code) | [i] | ✔ | |
| 32 | Linear OA(9127, 794, F9, 39) (dual of [794, 667, 40]-code) | [i] | ✔ | |
| 33 | Linear OA(9126, 791, F9, 39) (dual of [791, 665, 40]-code) | [i] | ✔ | |
| 34 | Linear OA(9125, 789, F9, 39) (dual of [789, 664, 40]-code) | [i] | ✔ | |
| 35 | Linear OA(9118, 782, F9, 38) (dual of [782, 664, 39]-code) | [i] | ✔ | |
| 36 | Linear OA(9111, 772, F9, 37) (dual of [772, 661, 38]-code) | [i] | ✔ | |