Information on Result #616557
Linear OA(16118, 4096, F16, 42) (dual of [4096, 3978, 43]-code), using an extension Ce(41) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,41], and designed minimum distance d ≥ |I|+1 = 42
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(16118, 3476, F16, 2, 42) (dual of [(3476, 2), 6834, 43]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (76, 118, 3476)-net over F16 | [i] | ||
| 3 | Linear OA(16121, 4099, F16, 43) (dual of [4099, 3978, 44]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 4 | Linear OA(16118, 4099, F16, 42) (dual of [4099, 3981, 43]-code) | [i] | ✔ | |
| 5 | Linear OA(16125, 4103, F16, 44) (dual of [4103, 3978, 45]-code) | [i] | ✔ | |
| 6 | Linear OA(16119, 4103, F16, 42) (dual of [4103, 3984, 43]-code) | [i] | ✔ | |
| 7 | Linear OA(16129, 4107, F16, 45) (dual of [4107, 3978, 46]-code) | [i] | ✔ | |
| 8 | Linear OA(16120, 4107, F16, 42) (dual of [4107, 3987, 43]-code) | [i] | ✔ | |
| 9 | Linear OA(16121, 4111, F16, 42) (dual of [4111, 3990, 43]-code) | [i] | ✔ | |
| 10 | Linear OA(16122, 4113, F16, 42) (dual of [4113, 3991, 43]-code) | [i] | ✔ | |
| 11 | Linear OA(16123, 4116, F16, 42) (dual of [4116, 3993, 43]-code) | [i] | ✔ | |
| 12 | Linear OA(16124, 4120, F16, 42) (dual of [4120, 3996, 43]-code) | [i] | ✔ | |
| 13 | Linear OA(16126, 4125, F16, 42) (dual of [4125, 3999, 43]-code) | [i] | ✔ | |
| 14 | Linear OA(16127, 4129, F16, 42) (dual of [4129, 4002, 43]-code) | [i] | ✔ | |
| 15 | Linear OA(16129, 4134, F16, 42) (dual of [4134, 4005, 43]-code) | [i] | ✔ | |