Information on Result #715284
Linear OA(840, 511, F8, 15) (dual of [511, 471, 16]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {59,60,…,73}, and designed minimum distance d ≥ |I|+1 = 16
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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(840, 408, F8, 2, 15) (dual of [(408, 2), 776, 16]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(840, 408, F8, 3, 15) (dual of [(408, 3), 1184, 16]-NRT-code) | [i] | ||
| 3 | Digital (25, 40, 408)-net over F8 | [i] | ||
| 4 | Linear OA(847, 518, F8, 18) (dual of [518, 471, 19]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(851, 522, F8, 19) (dual of [522, 471, 20]-code) | [i] | ✔ | |
| 6 | Linear OA(856, 527, F8, 20) (dual of [527, 471, 21]-code) | [i] | ✔ | |
| 7 | Linear OA(861, 532, F8, 21) (dual of [532, 471, 22]-code) | [i] | ✔ | |
| 8 | Linear OA(865, 536, F8, 22) (dual of [536, 471, 23]-code) | [i] | ✔ | |
| 9 | Linear OA(855, 526, F8, 20) (dual of [526, 471, 21]-code) | [i] | ✔ | |