Information on Result #720138
Linear OA(985, 728, F9, 32) (dual of [728, 643, 33]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−2,−1,…,29}, and designed minimum distance d ≥ |I|+1 = 33
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 BCH-Codes (hidden) [i]
- Primitive Expurgated Narrow-Sense BCH-Codes [i]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(985, 691, F9, 2, 32) (dual of [(691, 2), 1297, 33]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(985, 691, F9, 3, 32) (dual of [(691, 3), 1988, 33]-NRT-code) | [i] | ||
| 3 | Digital (53, 85, 691)-net over F9 | [i] | ||
| 4 | Linear OA(988, 744, F9, 32) (dual of [744, 656, 33]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(987, 742, F9, 32) (dual of [742, 655, 33]-code) | [i] | ✔ | |
| 6 | Linear OA(986, 738, F9, 32) (dual of [738, 652, 33]-code) | [i] | ✔ | |
| 7 | Linear OA(989, 738, F9, 33) (dual of [738, 649, 34]-code) | [i] | ✔ | |
| 8 | Linear OA(993, 742, F9, 34) (dual of [742, 649, 35]-code) | [i] | ✔ | |