Information on Result #706242
Linear OA(454, 255, F4, 18) (dual of [255, 201, 19]-code), using the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19
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(454, 213, F4, 2, 18) (dual of [(213, 2), 372, 19]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(454, 213, F4, 3, 18) (dual of [(213, 3), 585, 19]-NRT-code) | [i] | ||
| 3 | Digital (36, 54, 213)-net over F4 | [i] | ||
| 4 | Linear OA(461, 268, F4, 20) (dual of [268, 207, 21]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(474, 281, F4, 23) (dual of [281, 207, 24]-code) | [i] | ✔ | |
| 6 | Linear OA(465, 266, F4, 22) (dual of [266, 201, 23]-code) | [i] | ✔ | |
| 7 | Linear OA(478, 279, F4, 25) (dual of [279, 201, 26]-code) | [i] | ✔ | |
| 8 | Linear OA(476, 277, F4, 24) (dual of [277, 201, 25]-code) | [i] | ✔ | |
| 9 | Linear OA(486, 287, F4, 26) (dual of [287, 201, 27]-code) | [i] | ✔ | |