Information on Result #715138
Linear OA(849, 511, F8, 19) (dual of [511, 462, 20]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {63,64,…,81}, and designed minimum distance d ≥ |I|+1 = 20
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 Expurgated Narrow-Sense BCH-Codes [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(849, 355, F8, 2, 19) (dual of [(355, 2), 661, 20]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(849, 355, F8, 3, 19) (dual of [(355, 3), 1016, 20]-NRT-code) | [i] | ||
| 3 | Digital (30, 49, 355)-net over F8 | [i] | ||
| 4 | Linear OA(860, 544, F8, 19) (dual of [544, 484, 20]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(859, 542, F8, 19) (dual of [542, 483, 20]-code) | [i] | ✔ | |
| 6 | Linear OA(860, 546, F8, 19) (dual of [546, 486, 20]-code) | [i] | ✔ | |
| 7 | Linear OA(866, 544, F8, 21) (dual of [544, 478, 22]-code) | [i] | ✔ | |
| 8 | Linear OA(865, 542, F8, 21) (dual of [542, 477, 22]-code) | [i] | ✔ | |
| 9 | Linear OA(870, 547, F8, 22) (dual of [547, 477, 23]-code) | [i] | ✔ | |
| 10 | Linear OA(875, 553, F8, 23) (dual of [553, 478, 24]-code) | [i] | ✔ | |
| 11 | Linear OA(874, 551, F8, 23) (dual of [551, 477, 24]-code) | [i] | ✔ | |
| 12 | Linear OA(868, 545, F8, 22) (dual of [545, 477, 23]-code) | [i] | ✔ | |
| 13 | Linear OA(878, 555, F8, 25) (dual of [555, 477, 26]-code) | [i] | ✔ | |