Information on Result #706180
Linear OA(461, 255, F4, 20) (dual of [255, 194, 21]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {−5,−4,…,14}, and designed minimum distance d ≥ |I|+1 = 21
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
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(461, 244, F4, 2, 20) (dual of [(244, 2), 427, 21]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(461, 244, F4, 3, 20) (dual of [(244, 3), 671, 21]-NRT-code) | [i] | ||
| 3 | Digital (41, 61, 244)-net over F4 | [i] | ||
| 4 | Linear OA(468, 285, F4, 20) (dual of [285, 217, 21]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(467, 280, F4, 20) (dual of [280, 213, 21]-code) | [i] | ✔ | |
| 6 | Linear OA(476, 285, F4, 23) (dual of [285, 209, 24]-code) | [i] | ✔ | |