Information on Result #715249
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 = {55,56,…,75}, 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(864, 542, F8, 21) (dual of [542, 478, 22]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(863, 540, F8, 21) (dual of [540, 477, 22]-code) | [i] | ✔ | |
| 6 | Linear OA(884, 555, F8, 27) (dual of [555, 471, 28]-code) | [i] | ✔ | |
| 7 | Linear OA(883, 551, F8, 27) (dual of [551, 468, 28]-code) | [i] | ✔ | |
| 8 | Linear OA(881, 546, F8, 27) (dual of [546, 465, 28]-code) | [i] | ✔ | |
| 9 | Linear OA(879, 542, F8, 27) (dual of [542, 463, 28]-code) | [i] | ✔ | |
| 10 | Linear OA(878, 540, F8, 27) (dual of [540, 462, 28]-code) | [i] | ✔ | |
| 11 | Linear OA(889, 545, F8, 30) (dual of [545, 456, 31]-code) | [i] | ✔ | |
| 12 | Linear OA(899, 553, F8, 32) (dual of [553, 454, 33]-code) | [i] | ✔ | |
| 13 | Linear OA(899, 555, F8, 33) (dual of [555, 456, 34]-code) | [i] | ✔ | |