Information on Result #715168
Linear OA(834, 511, F8, 13) (dual of [511, 477, 14]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {63,64,…,75}, and designed minimum distance d ≥ |I|+1 = 14
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 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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(834, 353, F8, 2, 13) (dual of [(353, 2), 672, 14]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(834, 353, F8, 3, 13) (dual of [(353, 3), 1025, 14]-NRT-code) | [i] | ||
| 3 | Digital (21, 34, 353)-net over F8 | [i] | ||
| 4 | Linear OA(860, 546, F8, 19) (dual of [546, 486, 20]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(858, 542, F8, 19) (dual of [542, 484, 20]-code) | [i] | ✔ | |
| 6 | Linear OA(857, 540, F8, 19) (dual of [540, 483, 20]-code) | [i] | ✔ | |
| 7 | Linear OA(868, 545, F8, 22) (dual of [545, 477, 23]-code) | [i] | ✔ | |
| 8 | Linear OA(878, 553, F8, 24) (dual of [553, 475, 25]-code) | [i] | ✔ | |
| 9 | Linear OA(878, 555, F8, 25) (dual of [555, 477, 26]-code) | [i] | ✔ | |