Information on Result #715165
Linear OA(852, 511, F8, 20) (dual of [511, 459, 21]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {62,63,…,81}, and designed minimum distance d ≥ |I|+1 = 21
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(852, 381, F8, 2, 20) (dual of [(381, 2), 710, 21]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(852, 381, F8, 3, 20) (dual of [(381, 3), 1091, 21]-NRT-code) | [i] | ||
| 3 | Digital (32, 52, 381)-net over F8 | [i] | ||
| 4 | Linear OA(863, 544, F8, 20) (dual of [544, 481, 21]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(862, 542, F8, 20) (dual of [542, 480, 21]-code) | [i] | ✔ | |
| 6 | Linear OA(862, 545, F8, 20) (dual of [545, 483, 21]-code) | [i] | ✔ | |
| 7 | Linear OA(869, 544, F8, 22) (dual of [544, 475, 23]-code) | [i] | ✔ | |
| 8 | Linear OA(868, 542, F8, 22) (dual of [542, 474, 23]-code) | [i] | ✔ | |
| 9 | Linear OA(873, 547, F8, 23) (dual of [547, 474, 24]-code) | [i] | ✔ | |
| 10 | Linear OA(883, 557, F8, 26) (dual of [557, 474, 27]-code) | [i] | ✔ | |
| 11 | Linear OA(877, 551, F8, 25) (dual of [551, 474, 26]-code) | [i] | ✔ | |
| 12 | Linear OA(881, 555, F8, 26) (dual of [555, 474, 27]-code) | [i] | ✔ | |