Information on Result #715389
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 = {−8,−7,…,18}, 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(887, 557, F8, 27) (dual of [557, 470, 28]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
5 | Linear OA(887, 558, F8, 27) (dual of [558, 471, 28]-code) | [i] | ✔ | |
6 | Linear OA(884, 552, F8, 27) (dual of [552, 468, 28]-code) | [i] | ✔ | |
7 | Linear OA(883, 547, F8, 27) (dual of [547, 464, 28]-code) | [i] | ✔ | |
8 | Linear OA(882, 545, F8, 27) (dual of [545, 463, 28]-code) | [i] | ✔ | |
9 | Linear OA(881, 542, F8, 27) (dual of [542, 461, 28]-code) | [i] | ✔ | |
10 | Linear OA(883, 548, F8, 27) (dual of [548, 465, 28]-code) | [i] | ✔ | |
11 | Linear OA(886, 548, F8, 28) (dual of [548, 462, 29]-code) | [i] | ✔ | |
12 | Linear OA(890, 552, F8, 29) (dual of [552, 462, 30]-code) | [i] | ✔ | |
13 | Linear OA(888, 545, F8, 29) (dual of [545, 457, 30]-code) | [i] | ✔ | |
14 | Linear OA(887, 542, F8, 29) (dual of [542, 455, 30]-code) | [i] | ✔ | |
15 | Linear OA(892, 547, F8, 30) (dual of [547, 455, 31]-code) | [i] | ✔ | |
16 | Linear OA(899, 561, F8, 31) (dual of [561, 462, 32]-code) | [i] | ✔ | |
17 | Linear OA(896, 551, F8, 31) (dual of [551, 455, 32]-code) | [i] | ✔ | |
18 | Linear OA(8105, 567, F8, 33) (dual of [567, 462, 34]-code) | [i] | ✔ | |
19 | Linear OA(8103, 565, F8, 32) (dual of [565, 462, 33]-code) | [i] | ✔ | |
20 | Linear OA(8102, 557, F8, 33) (dual of [557, 455, 34]-code) | [i] | ✔ |