Information on Result #720067
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 = {−2,−1,…,28}, 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(984, 740, F9, 31) (dual of [740, 656, 32]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(983, 738, F9, 31) (dual of [738, 655, 32]-code) | [i] | ✔ | |
| 6 | Linear OA(986, 738, F9, 32) (dual of [738, 652, 33]-code) | [i] | ✔ | |
| 7 | Linear OA(990, 742, F9, 33) (dual of [742, 652, 34]-code) | [i] | ✔ | |