Information on Result #706196
Linear OA(459, 255, F4, 20) (dual of [255, 196, 21]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {68,69,…,87}, and designed minimum distance d ≥ |I|+1 = 21
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
- 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(459, 207, F4, 2, 20) (dual of [(207, 2), 355, 21]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(459, 207, F4, 3, 20) (dual of [(207, 3), 562, 21]-NRT-code) | [i] | ||
| 3 | Digital (39, 59, 207)-net over F4 | [i] | ||
| 4 | Linear OA(468, 287, F4, 20) (dual of [287, 219, 21]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(466, 284, F4, 20) (dual of [284, 218, 21]-code) | [i] | ✔ | |
| 6 | Linear OA(464, 278, F4, 20) (dual of [278, 214, 21]-code) | [i] | ✔ | |
| 7 | Linear OA(470, 280, F4, 22) (dual of [280, 210, 23]-code) | [i] | ✔ | |
| 8 | Linear OA(476, 280, F4, 24) (dual of [280, 204, 25]-code) | [i] | ✔ | |
| 9 | Linear OA(495, 290, F4, 29) (dual of [290, 195, 30]-code) | [i] | ✔ | |