Information on Result #706217
Linear OA(450, 255, F4, 17) (dual of [255, 205, 18]-code), using the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18
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(450, 188, F4, 2, 17) (dual of [(188, 2), 326, 18]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(450, 188, F4, 3, 17) (dual of [(188, 3), 514, 18]-NRT-code) | [i] | ||
| 3 | Digital (33, 50, 188)-net over F4 | [i] | ||
| 4 | Linear OA(473, 288, F4, 22) (dual of [288, 215, 23]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(472, 283, F4, 22) (dual of [283, 211, 23]-code) | [i] | ✔ | |
| 6 | Linear OA(480, 285, F4, 25) (dual of [285, 205, 26]-code) | [i] | ✔ | |