Information on Result #692017
Linear OA(16127, 4096, F16, 45) (dual of [4096, 3969, 46]-code), using an extension Ce(44) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,44], and designed minimum distance d ≥ |I|+1 = 45
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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(16127, 3777, F16, 2, 45) (dual of [(3777, 2), 7427, 46]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (82, 127, 3777)-net over F16 | [i] | ||
| 3 | Linear OA(16130, 4099, F16, 46) (dual of [4099, 3969, 47]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 4 | Linear OA(16127, 4099, F16, 45) (dual of [4099, 3972, 46]-code) | [i] | ✔ | |
| 5 | Linear OA(16129, 4107, F16, 45) (dual of [4107, 3978, 46]-code) | [i] | ✔ | |