Information on Result #715087
Linear OA(827, 511, F8, 10) (dual of [511, 484, 11]-code), using the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11
Mode: Constructive and linear.
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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(827, 459, F8, 2, 10) (dual of [(459, 2), 891, 11]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(827, 459, F8, 3, 10) (dual of [(459, 3), 1350, 11]-NRT-code) | [i] | ||
| 3 | Digital (17, 27, 459)-net over F8 | [i] | ||
| 4 | Linear OA(837, 527, F8, 13) (dual of [527, 490, 14]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(842, 532, F8, 14) (dual of [532, 490, 15]-code) | [i] | ✔ | |
| 6 | Linear OA(851, 541, F8, 16) (dual of [541, 490, 17]-code) | [i] | ✔ | |