Information on Result #715470
Linear OA(870, 511, F8, 27) (dual of [511, 441, 28]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {48,49,…,74}, and designed minimum distance d ≥ |I|+1 = 28
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 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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(870, 438, F8, 2, 27) (dual of [(438, 2), 806, 28]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(870, 438, F8, 3, 27) (dual of [(438, 3), 1244, 28]-NRT-code) | [i] | ||
| 3 | Digital (43, 70, 438)-net over F8 | [i] | ||
| 4 | Linear OA(878, 538, F8, 27) (dual of [538, 460, 28]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(877, 536, F8, 27) (dual of [536, 459, 28]-code) | [i] | ✔ | |
| 6 | Linear OA(876, 532, F8, 27) (dual of [532, 456, 28]-code) | [i] | ✔ | |
| 7 | Linear OA(875, 528, F8, 27) (dual of [528, 453, 28]-code) | [i] | ✔ | |
| 8 | Linear OA(875, 529, F8, 27) (dual of [529, 454, 28]-code) | [i] | ✔ | |
| 9 | Linear OA(874, 526, F8, 27) (dual of [526, 452, 28]-code) | [i] | ✔ | |
| 10 | Linear OA(874, 527, F8, 27) (dual of [527, 453, 28]-code) | [i] | ✔ | |
| 11 | Linear OA(873, 524, F8, 27) (dual of [524, 451, 28]-code) | [i] | ✔ | |
| 12 | Linear OA(872, 522, F8, 27) (dual of [522, 450, 28]-code) | [i] | ✔ | |
| 13 | Linear OA(8106, 562, F8, 34) (dual of [562, 456, 35]-code) | [i] | ✔ | |
| 14 | Linear OA(8105, 559, F8, 34) (dual of [559, 454, 35]-code) | [i] | ✔ | |
| 15 | Linear OA(8104, 557, F8, 34) (dual of [557, 453, 35]-code) | [i] | ✔ | |
| 16 | Linear OA(8100, 545, F8, 34) (dual of [545, 445, 35]-code) | [i] | ✔ | |
| 17 | Linear OA(899, 543, F8, 34) (dual of [543, 444, 35]-code) | [i] | ✔ | |
| 18 | Linear OA(8105, 544, F8, 36) (dual of [544, 439, 37]-code) | [i] | ✔ | |
| 19 | Linear OA(8104, 542, F8, 36) (dual of [542, 438, 37]-code) | [i] | ✔ | |
| 20 | Linear OA(8109, 547, F8, 37) (dual of [547, 438, 38]-code) | [i] | ✔ | |
| 21 | Linear OA(8114, 553, F8, 38) (dual of [553, 439, 39]-code) | [i] | ✔ | |
| 22 | Linear OA(8113, 551, F8, 38) (dual of [551, 438, 39]-code) | [i] | ✔ | |
| 23 | Linear OA(8118, 556, F8, 39) (dual of [556, 438, 40]-code) | [i] | ✔ | |
| 24 | Linear OA(8125, 566, F8, 40) (dual of [566, 441, 41]-code) | [i] | ✔ | |