Information on Result #715280
Linear OA(863, 511, F8, 24) (dual of [511, 448, 25]-code), using the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25
Mode: Constructive and linear.
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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(863, 442, F8, 2, 24) (dual of [(442, 2), 821, 25]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(863, 442, F8, 3, 24) (dual of [(442, 3), 1263, 25]-NRT-code) | [i] | ||
| 3 | Digital (39, 63, 442)-net over F8 | [i] | ||
| 4 | Linear OA(866, 544, F8, 24) (dual of [544, 478, 25]-code) | [i] | Varšamov–Edel Lengthening | |
| 5 | Linear OA(867, 588, F8, 24) (dual of [588, 521, 25]-code) | [i] | ||
| 6 | Linear OA(868, 642, F8, 24) (dual of [642, 574, 25]-code) | [i] | ||
| 7 | Linear OA(877, 548, F8, 24) (dual of [548, 471, 25]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 8 | Linear OA(893, 556, F8, 30) (dual of [556, 463, 31]-code) | [i] | ✔ | |
| 9 | Linear OA(892, 552, F8, 30) (dual of [552, 460, 31]-code) | [i] | ✔ | |
| 10 | Linear OA(879, 533, F8, 28) (dual of [533, 454, 29]-code) | [i] | ✔ | |
| 11 | Linear OA(878, 529, F8, 28) (dual of [529, 451, 29]-code) | [i] | ✔ | |
| 12 | Linear OA(890, 547, F8, 30) (dual of [547, 457, 31]-code) | [i] | ✔ | |
| 13 | Linear OA(888, 542, F8, 30) (dual of [542, 454, 31]-code) | [i] | ✔ | |
| 14 | Linear OA(895, 549, F8, 31) (dual of [549, 454, 32]-code) | [i] | ✔ | |
| 15 | Linear OA(887, 538, F8, 30) (dual of [538, 451, 31]-code) | [i] | ✔ | |
| 16 | Linear OA(875, 523, F8, 28) (dual of [523, 448, 29]-code) | [i] | ✔ | |
| 17 | Linear OA(879, 527, F8, 29) (dual of [527, 448, 30]-code) | [i] | ✔ | |
| 18 | Linear OA(884, 532, F8, 30) (dual of [532, 448, 31]-code) | [i] | ✔ | |
| 19 | Linear OA(893, 541, F8, 32) (dual of [541, 448, 33]-code) | [i] | ✔ | |
| 20 | Linear OA(8124, 571, F8, 39) (dual of [571, 447, 40]-code) | [i] | ✔ | |
| 21 | Linear OOA(863, 255, F8, 2, 24) (dual of [(255, 2), 447, 25]-NRT-code) | [i] | OOA Folding | |