Information on Result #715348
Linear OA(864, 511, F8, 24) (dual of [511, 447, 25]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {−6,−5,…,17}, and designed minimum distance d ≥ |I|+1 = 25
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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(864, 487, F8, 2, 24) (dual of [(487, 2), 910, 25]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(864, 487, F8, 3, 24) (dual of [(487, 3), 1397, 25]-NRT-code) | [i] | ||
| 3 | Digital (40, 64, 487)-net over F8 | [i] | ||
| 4 | Linear OA(878, 558, F8, 24) (dual of [558, 480, 25]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(877, 554, F8, 24) (dual of [554, 477, 25]-code) | [i] | ✔ | |
| 6 | Linear OA(875, 549, F8, 24) (dual of [549, 474, 25]-code) | [i] | ✔ | |
| 7 | Linear OA(873, 544, F8, 24) (dual of [544, 471, 25]-code) | [i] | ✔ | |
| 8 | Linear OA(871, 539, F8, 24) (dual of [539, 468, 25]-code) | [i] | ✔ | |