Information on Result #706049
Linear OA(424, 255, F4, 8) (dual of [255, 231, 9]-code), using the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9
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.
Compare with Markus Grassl’s online database of code parameters.
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(424, 199, F4, 2, 8) (dual of [(199, 2), 374, 9]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(424, 199, F4, 3, 8) (dual of [(199, 3), 573, 9]-NRT-code) | [i] | ||
| 3 | Digital (16, 24, 199)-net over F4 | [i] | ||
| 4 | Linear OA(431, 266, F4, 10) (dual of [266, 235, 11]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(444, 279, F4, 13) (dual of [279, 235, 14]-code) | [i] | ✔ | |
| 6 | Linear OA(442, 277, F4, 12) (dual of [277, 235, 13]-code) | [i] | ✔ | |
| 7 | Linear OA(447, 278, F4, 14) (dual of [278, 231, 15]-code) | [i] | ✔ | |
| 8 | Linear OA(439, 270, F4, 12) (dual of [270, 231, 13]-code) | [i] | ✔ | |
| 9 | Linear OA(452, 283, F4, 15) (dual of [283, 231, 16]-code) | [i] | ✔ | |
| 10 | Linear OA(459, 290, F4, 17) (dual of [290, 231, 18]-code) | [i] | ✔ | |
| 11 | Linear OA(458, 282, F4, 17) (dual of [282, 224, 18]-code) | [i] | ✔ | |