Information on Result #715111
Linear OA(837, 511, F8, 14) (dual of [511, 474, 15]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {68,69,…,81}, and designed minimum distance d ≥ |I|+1 = 15
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]
- 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(837, 381, F8, 2, 14) (dual of [(381, 2), 725, 15]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(837, 381, F8, 3, 14) (dual of [(381, 3), 1106, 15]-NRT-code) | [i] | ||
| 3 | Digital (23, 37, 381)-net over F8 | [i] | ||
| 4 | Linear OA(852, 541, F8, 17) (dual of [541, 489, 18]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(857, 546, F8, 18) (dual of [546, 489, 19]-code) | [i] | ✔ | |
| 6 | Linear OA(849, 532, F8, 17) (dual of [532, 483, 18]-code) | [i] | ✔ | |
| 7 | Linear OA(848, 529, F8, 17) (dual of [529, 481, 18]-code) | [i] | ✔ | |
| 8 | Linear OA(847, 527, F8, 17) (dual of [527, 480, 18]-code) | [i] | ✔ | |