Information on Result #715235
Linear OA(855, 511, F8, 21) (dual of [511, 456, 22]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {54,55,…,74}, and designed minimum distance d ≥ |I|+1 = 22
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 BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive Expurgated Narrow-Sense BCH-Codes [i]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
Result | This result only | Method | ||
---|---|---|---|---|
1 | Linear OOA(855, 407, F8, 2, 21) (dual of [(407, 2), 759, 22]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
2 | Linear OOA(855, 407, F8, 3, 21) (dual of [(407, 3), 1166, 22]-NRT-code) | [i] | ||
3 | Digital (34, 55, 407)-net over F8 | [i] | ||
4 | Linear OA(863, 538, F8, 21) (dual of [538, 475, 22]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
5 | Linear OA(862, 536, F8, 21) (dual of [536, 474, 22]-code) | [i] | ✔ | |
6 | Linear OA(861, 532, F8, 21) (dual of [532, 471, 22]-code) | [i] | ✔ | |
7 | Linear OA(891, 562, F8, 28) (dual of [562, 471, 29]-code) | [i] | ✔ | |
8 | Linear OA(878, 538, F8, 27) (dual of [538, 460, 28]-code) | [i] | ✔ | |
9 | Linear OA(873, 532, F8, 26) (dual of [532, 459, 27]-code) | [i] | ✔ | |
10 | Linear OA(872, 528, F8, 26) (dual of [528, 456, 27]-code) | [i] | ✔ | |
11 | Linear OA(886, 549, F8, 28) (dual of [549, 463, 29]-code) | [i] | ✔ | |
12 | Linear OA(885, 547, F8, 28) (dual of [547, 462, 29]-code) | [i] | ✔ | |
13 | Linear OA(877, 536, F8, 27) (dual of [536, 459, 28]-code) | [i] | ✔ | |
14 | Linear OA(884, 544, F8, 28) (dual of [544, 460, 29]-code) | [i] | ✔ | |
15 | Linear OA(883, 542, F8, 28) (dual of [542, 459, 29]-code) | [i] | ✔ | |
16 | Linear OA(890, 544, F8, 30) (dual of [544, 454, 31]-code) | [i] | ✔ | |
17 | Linear OA(889, 542, F8, 30) (dual of [542, 453, 31]-code) | [i] | ✔ | |
18 | Linear OA(894, 547, F8, 31) (dual of [547, 453, 32]-code) | [i] | ✔ | |
19 | Linear OA(8106, 562, F8, 34) (dual of [562, 456, 35]-code) | [i] | ✔ | |
20 | Linear OA(8105, 559, F8, 34) (dual of [559, 454, 35]-code) | [i] | ✔ | |
21 | Linear OA(8104, 557, F8, 34) (dual of [557, 453, 35]-code) | [i] | ✔ |