Information on Result #719740
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 = {64,65,…,93}, 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(993, 770, F9, 30) (dual of [770, 677, 31]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(990, 764, F9, 30) (dual of [764, 674, 31]-code) | [i] | ✔ | |
| 6 | Linear OA(989, 762, F9, 30) (dual of [762, 673, 31]-code) | [i] | ✔ | |
| 7 | Linear OA(988, 759, F9, 30) (dual of [759, 671, 31]-code) | [i] | ✔ | |
| 8 | Linear OA(987, 757, F9, 30) (dual of [757, 670, 31]-code) | [i] | ✔ | |
| 9 | Linear OA(985, 751, F9, 30) (dual of [751, 666, 31]-code) | [i] | ✔ | |
| 10 | Linear OA(984, 748, F9, 30) (dual of [748, 664, 31]-code) | [i] | ✔ | |
| 11 | Linear OA(983, 745, F9, 30) (dual of [745, 662, 31]-code) | [i] | ✔ | |
| 12 | Linear OA(982, 743, F9, 30) (dual of [743, 661, 31]-code) | [i] | ✔ | |
| 13 | Linear OA(9115, 782, F9, 37) (dual of [782, 667, 38]-code) | [i] | ✔ | |
| 14 | Linear OA(997, 753, F9, 34) (dual of [753, 656, 35]-code) | [i] | ✔ | |
| 15 | Linear OA(9113, 777, F9, 37) (dual of [777, 664, 38]-code) | [i] | ✔ | |
| 16 | Linear OA(9112, 773, F9, 37) (dual of [773, 661, 38]-code) | [i] | ✔ | |
| 17 | Linear OA(9106, 762, F9, 36) (dual of [762, 656, 37]-code) | [i] | ✔ | |
| 18 | Linear OA(9110, 768, F9, 37) (dual of [768, 658, 38]-code) | [i] | ✔ | |
| 19 | Linear OA(9108, 763, F9, 37) (dual of [763, 655, 38]-code) | [i] | ✔ | |
| 20 | Linear OA(9107, 759, F9, 37) (dual of [759, 652, 38]-code) | [i] | ✔ | |
| 21 | Linear OA(9118, 767, F9, 40) (dual of [767, 649, 41]-code) | [i] | ✔ | |
| 22 | Linear OA(9122, 771, F9, 41) (dual of [771, 649, 42]-code) | [i] | ✔ | |
| 23 | Linear OA(9127, 776, F9, 42) (dual of [776, 649, 43]-code) | [i] | ✔ | |
| 24 | Linear OA(9131, 780, F9, 43) (dual of [780, 649, 44]-code) | [i] | ✔ | |
| 25 | Linear OA(9143, 792, F9, 45) (dual of [792, 649, 46]-code) | [i] | ✔ | |
| 26 | Linear OA(9141, 787, F9, 45) (dual of [787, 646, 46]-code) | [i] | ✔ | |