Information on Result #706067
Linear OA(437, 255, F4, 12) (dual of [255, 218, 13]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {75,76,…,86}, and designed minimum distance d ≥ |I|+1 = 13
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 BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(437, 215, F4, 2, 12) (dual of [(215, 2), 393, 13]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(437, 215, F4, 3, 12) (dual of [(215, 3), 608, 13]-NRT-code) | [i] | ||
| 3 | Digital (25, 37, 215)-net over F4 | [i] | ||
| 4 | Linear OA(441, 275, F4, 12) (dual of [275, 234, 13]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(442, 264, F4, 14) (dual of [264, 222, 15]-code) | [i] | ✔ | |
| 6 | Linear OA(448, 269, F4, 15) (dual of [269, 221, 16]-code) | [i] | ✔ | |
| 7 | Linear OA(448, 270, F4, 15) (dual of [270, 222, 16]-code) | [i] | ✔ | |
| 8 | Linear OA(454, 280, F4, 16) (dual of [280, 226, 17]-code) | [i] | ✔ | |
| 9 | Linear OA(453, 275, F4, 16) (dual of [275, 222, 17]-code) | [i] | ✔ | |