Information on Result #715621
Linear OA(876, 511, F8, 29) (dual of [511, 435, 30]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {45,46,…,73}, and designed minimum distance d ≥ |I|+1 = 30
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 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]
- 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(876, 489, F8, 2, 29) (dual of [(489, 2), 902, 30]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(876, 489, F8, 3, 29) (dual of [(489, 3), 1391, 30]-NRT-code) | [i] | ||
| 3 | Digital (47, 76, 489)-net over F8 | [i] | ||
| 4 | Linear OA(886, 536, F8, 30) (dual of [536, 450, 31]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(892, 527, F8, 34) (dual of [527, 435, 35]-code) | [i] | ✔ | |
| 6 | Linear OA(891, 524, F8, 34) (dual of [524, 433, 35]-code) | [i] | ✔ | |
| 7 | Linear OA(897, 532, F8, 35) (dual of [532, 435, 36]-code) | [i] | ✔ | |
| 8 | Linear OA(896, 528, F8, 35) (dual of [528, 432, 36]-code) | [i] | ✔ | |
| 9 | Linear OA(8101, 536, F8, 36) (dual of [536, 435, 37]-code) | [i] | ✔ | |
| 10 | Linear OA(896, 531, F8, 35) (dual of [531, 435, 36]-code) | [i] | ✔ | |
| 11 | Linear OA(895, 528, F8, 35) (dual of [528, 433, 36]-code) | [i] | ✔ | |
| 12 | Linear OA(8105, 540, F8, 37) (dual of [540, 435, 38]-code) | [i] | ✔ | |