Information on Result #719332
Linear OA(967, 728, F9, 25) (dual of [728, 661, 26]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−9,−8,…,15}, and designed minimum distance d ≥ |I|+1 = 26
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 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]
- 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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(967, 633, F9, 2, 25) (dual of [(633, 2), 1199, 26]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(967, 633, F9, 3, 25) (dual of [(633, 3), 1832, 26]-NRT-code) | [i] | ||
| 3 | Digital (42, 67, 633)-net over F9 | [i] | ||
| 4 | Linear OA(984, 777, F9, 25) (dual of [777, 693, 26]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(983, 774, F9, 25) (dual of [774, 691, 26]-code) | [i] | ✔ | |
| 6 | Linear OA(982, 772, F9, 25) (dual of [772, 690, 26]-code) | [i] | ✔ | |
| 7 | Linear OA(981, 768, F9, 25) (dual of [768, 687, 26]-code) | [i] | ✔ | |
| 8 | Linear OA(980, 765, F9, 25) (dual of [765, 685, 26]-code) | [i] | ✔ | |
| 9 | Linear OA(979, 763, F9, 25) (dual of [763, 684, 26]-code) | [i] | ✔ | |
| 10 | Linear OA(987, 770, F9, 27) (dual of [770, 683, 28]-code) | [i] | ✔ | |