Information on Result #719008
Linear OA(946, 728, F9, 17) (dual of [728, 682, 18]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−7,−6,…,9}, and designed minimum distance d ≥ |I|+1 = 18
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 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(946, 577, F9, 2, 17) (dual of [(577, 2), 1108, 18]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(946, 577, F9, 3, 17) (dual of [(577, 3), 1685, 18]-NRT-code) | [i] | ||
| 3 | Digital (29, 46, 577)-net over F9 | [i] | ||
| 4 | Linear OA(959, 766, F9, 17) (dual of [766, 707, 18]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(958, 764, F9, 17) (dual of [764, 706, 18]-code) | [i] | ✔ | |
| 6 | Linear OA(958, 767, F9, 17) (dual of [767, 709, 18]-code) | [i] | ✔ | |
| 7 | Linear OA(957, 764, F9, 17) (dual of [764, 707, 18]-code) | [i] | ✔ | |
| 8 | Linear OA(959, 762, F9, 18) (dual of [762, 703, 19]-code) | [i] | ✔ | |
| 9 | Linear OA(958, 759, F9, 18) (dual of [759, 701, 19]-code) | [i] | ✔ | |