Information on Result #706231
Linear OA(455, 255, F4, 19) (dual of [255, 200, 20]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {−1,0,…,17}, 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 Expurgated Narrow-Sense BCH-Codes [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(455, 185, F4, 2, 19) (dual of [(185, 2), 315, 20]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(455, 185, F4, 3, 19) (dual of [(185, 3), 500, 20]-NRT-code) | [i] | ||
| 3 | Digital (36, 55, 185)-net over F4 | [i] | ||
| 4 | Linear OA(455, 261, F4, 19) (dual of [261, 206, 20]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(459, 263, F4, 20) (dual of [263, 204, 21]-code) | [i] | ✔ | |