Information on Result #706202
Linear OA(440, 255, F4, 13) (dual of [255, 215, 14]-code), using the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14
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(440, 216, F4, 2, 13) (dual of [(216, 2), 392, 14]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(440, 216, F4, 3, 13) (dual of [(216, 3), 608, 14]-NRT-code) | [i] | ||
| 3 | Digital (27, 40, 216)-net over F4 | [i] | ||
| 4 | Linear OA(470, 285, F4, 21) (dual of [285, 215, 22]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(473, 288, F4, 22) (dual of [288, 215, 23]-code) | [i] | ✔ | |