Information on Result #706158
Linear OA(457, 255, F4, 19) (dual of [255, 198, 20]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {−5,−4,…,13}, and designed minimum distance d ≥ |I|+1 = 20
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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(457, 219, F4, 2, 19) (dual of [(219, 2), 381, 20]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(457, 219, F4, 3, 19) (dual of [(219, 3), 600, 20]-NRT-code) | [i] | ||
| 3 | Digital (38, 57, 219)-net over F4 | [i] | ||
| 4 | Linear OA(464, 282, F4, 19) (dual of [282, 218, 20]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(463, 280, F4, 19) (dual of [280, 217, 20]-code) | [i] | ✔ | |
| 6 | Linear OA(467, 280, F4, 20) (dual of [280, 213, 21]-code) | [i] | ✔ | |
| 7 | Linear OA(474, 287, F4, 22) (dual of [287, 213, 23]-code) | [i] | ✔ | |
| 8 | Linear OA(477, 290, F4, 23) (dual of [290, 213, 24]-code) | [i] | ✔ | |