Information on Result #715337
Linear OA(849, 511, F8, 19) (dual of [511, 462, 20]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {−2,−1,…,16}, and designed minimum distance d ≥ |I|+1 = 20
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 Expurgated Narrow-Sense BCH-Codes [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(849, 355, F8, 2, 19) (dual of [(355, 2), 661, 20]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(849, 355, F8, 3, 19) (dual of [(355, 3), 1016, 20]-NRT-code) | [i] | ||
| 3 | Digital (30, 49, 355)-net over F8 | [i] | ||
| 4 | Linear OA(854, 523, F8, 20) (dual of [523, 469, 21]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(853, 521, F8, 20) (dual of [521, 468, 21]-code) | [i] | ✔ | |
| 6 | Linear OA(858, 527, F8, 21) (dual of [527, 469, 22]-code) | [i] | ✔ | |
| 7 | Linear OA(857, 525, F8, 21) (dual of [525, 468, 22]-code) | [i] | ✔ | |