Information on Result #719713
Linear OA(979, 728, F9, 30) (dual of [728, 649, 31]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {71,72,…,100}, and designed minimum distance d ≥ |I|+1 = 31
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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(979, 628, F9, 2, 30) (dual of [(628, 2), 1177, 31]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(979, 628, F9, 3, 30) (dual of [(628, 3), 1805, 31]-NRT-code) | [i] | ||
| 3 | Digital (49, 79, 628)-net over F9 | [i] | ||
| 4 | Linear OA(9100, 788, F9, 30) (dual of [788, 688, 31]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(999, 785, F9, 30) (dual of [785, 686, 31]-code) | [i] | ✔ | |
| 6 | Linear OA(998, 783, F9, 30) (dual of [783, 685, 31]-code) | [i] | ✔ | |
| 7 | Linear OA(997, 780, F9, 30) (dual of [780, 683, 31]-code) | [i] | ✔ | |
| 8 | Linear OA(996, 778, F9, 30) (dual of [778, 682, 31]-code) | [i] | ✔ | |
| 9 | Linear OA(995, 774, F9, 30) (dual of [774, 679, 31]-code) | [i] | ✔ | |
| 10 | Linear OA(994, 771, F9, 30) (dual of [771, 677, 31]-code) | [i] | ✔ | |
| 11 | Linear OA(993, 769, F9, 30) (dual of [769, 676, 31]-code) | [i] | ✔ | |
| 12 | Linear OA(992, 768, F9, 30) (dual of [768, 676, 31]-code) | [i] | ✔ | |
| 13 | Linear OA(991, 765, F9, 30) (dual of [765, 674, 31]-code) | [i] | ✔ | |
| 14 | Linear OA(990, 763, F9, 30) (dual of [763, 673, 31]-code) | [i] | ✔ | |
| 15 | Linear OA(997, 782, F9, 30) (dual of [782, 685, 31]-code) | [i] | ✔ | |
| 16 | Linear OA(995, 777, F9, 30) (dual of [777, 682, 31]-code) | [i] | ✔ | |
| 17 | Linear OA(994, 773, F9, 30) (dual of [773, 679, 31]-code) | [i] | ✔ | |
| 18 | Linear OA(997, 765, F9, 32) (dual of [765, 668, 33]-code) | [i] | ✔ | |
| 19 | Linear OA(996, 763, F9, 32) (dual of [763, 667, 33]-code) | [i] | ✔ | |
| 20 | Linear OA(993, 772, F9, 30) (dual of [772, 679, 31]-code) | [i] | ✔ | |
| 21 | Linear OA(9101, 768, F9, 33) (dual of [768, 667, 34]-code) | [i] | ✔ | |
| 22 | Linear OA(9106, 774, F9, 34) (dual of [774, 668, 35]-code) | [i] | ✔ | |
| 23 | Linear OA(9105, 772, F9, 34) (dual of [772, 667, 35]-code) | [i] | ✔ | |
| 24 | Linear OA(9100, 767, F9, 33) (dual of [767, 667, 34]-code) | [i] | ✔ | |
| 25 | Linear OA(9110, 777, F9, 35) (dual of [777, 667, 36]-code) | [i] | ✔ | |
| 26 | Linear OA(9104, 771, F9, 34) (dual of [771, 667, 35]-code) | [i] | ✔ | |
| 27 | Linear OA(9109, 776, F9, 35) (dual of [776, 667, 36]-code) | [i] | ✔ | |
| 28 | Linear OA(9118, 788, F9, 37) (dual of [788, 670, 38]-code) | [i] | ✔ | |
| 29 | Linear OA(9117, 785, F9, 37) (dual of [785, 668, 38]-code) | [i] | ✔ | |
| 30 | Linear OA(9116, 783, F9, 37) (dual of [783, 667, 38]-code) | [i] | ✔ | |
| 31 | Linear OA(9124, 794, F9, 38) (dual of [794, 670, 39]-code) | [i] | ✔ | |
| 32 | Linear OA(9123, 791, F9, 38) (dual of [791, 668, 39]-code) | [i] | ✔ | |
| 33 | Linear OA(9122, 789, F9, 38) (dual of [789, 667, 39]-code) | [i] | ✔ | |
| 34 | Linear OA(9115, 782, F9, 37) (dual of [782, 667, 38]-code) | [i] | ✔ | |