Information on Result #613229
Linear OA(4246, 16384, F4, 47) (dual of [16384, 16138, 48]-code), using an extension Ce(46) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,46], and designed minimum distance d ≥ |I|+1 = 47
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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(4246, 11105, F4, 2, 47) (dual of [(11105, 2), 21964, 48]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4246, 11105, F4, 3, 47) (dual of [(11105, 3), 33069, 48]-NRT-code) | [i] | ||
| 3 | Digital (199, 246, 11105)-net over F4 | [i] | ||
| 4 | Linear OA(4254, 16392, F4, 49) (dual of [16392, 16138, 50]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 5 | Linear OA(4246, 16391, F4, 47) (dual of [16391, 16145, 48]-code) | [i] | ✔ | |
| 6 | Linear OA(4247, 16399, F4, 47) (dual of [16399, 16152, 48]-code) | [i] | ✔ | |
| 7 | Linear OA(4251, 16410, F4, 47) (dual of [16410, 16159, 48]-code) | [i] | ✔ | |
| 8 | Linear OA(4253, 16419, F4, 47) (dual of [16419, 16166, 48]-code) | [i] | ✔ | |
| 9 | Linear OA(4256, 16429, F4, 47) (dual of [16429, 16173, 48]-code) | [i] | ✔ | |
| 10 | Linear OA(4255, 16428, F4, 47) (dual of [16428, 16173, 48]-code) | [i] | ✔ | |
| 11 | Linear OA(4260, 16440, F4, 47) (dual of [16440, 16180, 48]-code) | [i] | ✔ | |
| 12 | Linear OA(4255, 16394, F4, 49) (dual of [16394, 16139, 50]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 13 | Linear OA(4250, 16404, F4, 47) (dual of [16404, 16154, 48]-code) | [i] | ✔ | |
| 14 | Linear OA(4249, 16402, F4, 47) (dual of [16402, 16153, 48]-code) | [i] | ✔ | |
| 15 | Linear OA(4252, 16412, F4, 47) (dual of [16412, 16160, 48]-code) | [i] | ✔ | |