Information on Result #715278
Linear OA(854, 511, F8, 20) (dual of [511, 457, 21]-code), using the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21
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(854, 482, F8, 2, 20) (dual of [(482, 2), 910, 21]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(854, 482, F8, 3, 20) (dual of [(482, 3), 1392, 21]-NRT-code) | [i] | ||
| 3 | Digital (34, 54, 482)-net over F8 | [i] | ||
| 4 | Linear OA(877, 548, F8, 24) (dual of [548, 471, 25]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(890, 547, F8, 30) (dual of [547, 457, 31]-code) | [i] | ✔ | |