Information on Result #692020
Linear OA(16121, 4096, F16, 43) (dual of [4096, 3975, 44]-code), using an extension Ce(42) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43
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(16121, 3576, F16, 2, 43) (dual of [(3576, 2), 7031, 44]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (78, 121, 3576)-net over F16 | [i] | ||
| 3 | Linear OA(16124, 4099, F16, 44) (dual of [4099, 3975, 45]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 4 | Linear OA(16121, 4099, F16, 43) (dual of [4099, 3978, 44]-code) | [i] | ✔ | |
| 5 | Linear OA(16123, 4107, F16, 43) (dual of [4107, 3984, 44]-code) | [i] | ✔ | |
| 6 | Linear OA(16126, 4116, F16, 43) (dual of [4116, 3990, 44]-code) | [i] | ✔ | |
| 7 | Linear OA(16129, 4125, F16, 43) (dual of [4125, 3996, 44]-code) | [i] | ✔ | |