Information on Result #715375
Linear OA(864, 511, F8, 25) (dual of [511, 447, 26]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {57,58,…,81}, and designed minimum distance d ≥ |I|+1 = 26
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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(864, 389, F8, 2, 25) (dual of [(389, 2), 714, 26]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(864, 389, F8, 3, 25) (dual of [(389, 3), 1103, 26]-NRT-code) | [i] | ||
| 3 | Digital (39, 64, 389)-net over F8 | [i] | ||
| 4 | Linear OA(878, 550, F8, 25) (dual of [550, 472, 26]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(877, 548, F8, 25) (dual of [548, 471, 26]-code) | [i] | ✔ | |
| 6 | Linear OA(876, 545, F8, 25) (dual of [545, 469, 26]-code) | [i] | ✔ | |
| 7 | Linear OA(875, 543, F8, 25) (dual of [543, 468, 26]-code) | [i] | ✔ | |
| 8 | Linear OA(878, 555, F8, 25) (dual of [555, 477, 26]-code) | [i] | ✔ | |
| 9 | Linear OA(877, 551, F8, 25) (dual of [551, 474, 26]-code) | [i] | ✔ | |
| 10 | Linear OA(875, 546, F8, 25) (dual of [546, 471, 26]-code) | [i] | ✔ | |
| 11 | Linear OA(873, 541, F8, 25) (dual of [541, 468, 26]-code) | [i] | ✔ | |
| 12 | Linear OA(872, 537, F8, 25) (dual of [537, 465, 26]-code) | [i] | ✔ | |
| 13 | Linear OA(882, 547, F8, 27) (dual of [547, 465, 28]-code) | [i] | ✔ | |
| 14 | Linear OA(881, 544, F8, 27) (dual of [544, 463, 28]-code) | [i] | ✔ | |
| 15 | Linear OA(880, 542, F8, 27) (dual of [542, 462, 28]-code) | [i] | ✔ | |
| 16 | Linear OA(886, 549, F8, 28) (dual of [549, 463, 29]-code) | [i] | ✔ | |
| 17 | Linear OA(885, 547, F8, 28) (dual of [547, 462, 29]-code) | [i] | ✔ | |
| 18 | Linear OA(870, 532, F8, 25) (dual of [532, 462, 26]-code) | [i] | ✔ | |
| 19 | Linear OA(869, 529, F8, 25) (dual of [529, 460, 26]-code) | [i] | ✔ | |
| 20 | Linear OA(891, 556, F8, 29) (dual of [556, 465, 30]-code) | [i] | ✔ | |
| 21 | Linear OA(890, 553, F8, 29) (dual of [553, 463, 30]-code) | [i] | ✔ | |
| 22 | Linear OA(889, 551, F8, 29) (dual of [551, 462, 30]-code) | [i] | ✔ | |
| 23 | Linear OA(883, 545, F8, 28) (dual of [545, 462, 29]-code) | [i] | ✔ | |
| 24 | Linear OA(868, 527, F8, 25) (dual of [527, 459, 26]-code) | [i] | ✔ | |
| 25 | Linear OA(867, 523, F8, 25) (dual of [523, 456, 26]-code) | [i] | ✔ | |
| 26 | Linear OA(894, 556, F8, 30) (dual of [556, 462, 31]-code) | [i] | ✔ | |
| 27 | Linear OA(887, 549, F8, 29) (dual of [549, 462, 30]-code) | [i] | ✔ | |
| 28 | Linear OA(8100, 565, F8, 31) (dual of [565, 465, 32]-code) | [i] | ✔ | |
| 29 | Linear OA(899, 562, F8, 31) (dual of [562, 463, 32]-code) | [i] | ✔ | |
| 30 | Linear OA(898, 560, F8, 31) (dual of [560, 462, 32]-code) | [i] | ✔ | |
| 31 | Linear OA(892, 554, F8, 30) (dual of [554, 462, 31]-code) | [i] | ✔ | |
| 32 | Linear OA(883, 537, F8, 29) (dual of [537, 454, 30]-code) | [i] | ✔ | |