Information on Result #706023
Linear OA(429, 255, F4, 10) (dual of [255, 226, 11]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {−4,−3,…,5}, and designed minimum distance d ≥ |I|+1 = 11
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]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive Expurgated Narrow-Sense BCH-Codes [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(429, 155, F4, 2, 10) (dual of [(155, 2), 281, 11]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(429, 155, F4, 3, 10) (dual of [(155, 3), 436, 11]-NRT-code) | [i] | ||
| 3 | Digital (19, 29, 155)-net over F4 | [i] | ||
| 4 | Linear OA(433, 275, F4, 10) (dual of [275, 242, 11]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(437, 275, F4, 11) (dual of [275, 238, 12]-code) | [i] | ✔ | |
| 6 | Linear OA(444, 282, F4, 13) (dual of [282, 238, 14]-code) | [i] | ✔ | |
| 7 | Linear OA(449, 287, F4, 14) (dual of [287, 238, 15]-code) | [i] | ✔ | |