Information on Result #706008
Linear OA(417, 255, F4, 6) (dual of [255, 238, 7]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {81,82,…,86}, and designed minimum distance d ≥ |I|+1 = 7
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 Expurgated Narrow-Sense BCH-Codes [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(417, 187, F4, 2, 6) (dual of [(187, 2), 357, 7]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(417, 187, F4, 3, 6) (dual of [(187, 3), 544, 7]-NRT-code) | [i] | ||
| 3 | Digital (11, 17, 187)-net over F4 | [i] | ||
| 4 | Linear OA(418, 264, F4, 6) (dual of [264, 246, 7]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(434, 277, F4, 10) (dual of [277, 243, 11]-code) | [i] | ✔ | |
| 6 | Linear OA(436, 269, F4, 11) (dual of [269, 233, 12]-code) | [i] | ✔ | |
| 7 | Linear OA(442, 280, F4, 12) (dual of [280, 238, 13]-code) | [i] | ✔ | |