Information on Result #692026
Linear OA(16109, 4096, F16, 39) (dual of [4096, 3987, 40]-code), using an extension Ce(38) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,38], and designed minimum distance d ≥ |I|+1 = 39
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(16109, 3176, F16, 2, 39) (dual of [(3176, 2), 6243, 40]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (70, 109, 3176)-net over F16 | [i] | ||
| 3 | Linear OA(16112, 4099, F16, 40) (dual of [4099, 3987, 41]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 4 | Linear OA(16109, 4099, F16, 39) (dual of [4099, 3990, 40]-code) | [i] | ✔ | |
| 5 | Linear OA(16120, 4107, F16, 42) (dual of [4107, 3987, 43]-code) | [i] | ✔ | |
| 6 | Linear OA(16111, 4107, F16, 39) (dual of [4107, 3996, 40]-code) | [i] | ✔ | |
| 7 | Linear OA(16128, 4113, F16, 44) (dual of [4113, 3985, 45]-code) | [i] | ✔ | |
| 8 | Linear OA(16129, 4116, F16, 44) (dual of [4116, 3987, 45]-code) | [i] | ✔ | |
| 9 | Linear OA(16114, 4116, F16, 39) (dual of [4116, 4002, 40]-code) | [i] | ✔ | |
| 10 | Linear OA(16118, 4126, F16, 39) (dual of [4126, 4008, 40]-code) | [i] | ✔ | |
| 11 | Linear OA(16119, 4129, F16, 39) (dual of [4129, 4010, 40]-code) | [i] | ✔ | |
| 12 | Linear OA(16120, 4131, F16, 39) (dual of [4131, 4011, 40]-code) | [i] | ✔ | |
| 13 | Linear OA(16121, 4134, F16, 39) (dual of [4134, 4013, 40]-code) | [i] | ✔ | |
| 14 | Linear OA(16122, 4136, F16, 39) (dual of [4136, 4014, 40]-code) | [i] | ✔ | |
| 15 | Linear OA(16123, 4140, F16, 39) (dual of [4140, 4017, 40]-code) | [i] | ✔ | |
| 16 | Linear OA(16125, 4145, F16, 39) (dual of [4145, 4020, 40]-code) | [i] | ✔ | |
| 17 | Linear OA(16127, 4150, F16, 39) (dual of [4150, 4023, 40]-code) | [i] | ✔ | |
| 18 | Linear OA(16128, 4154, F16, 39) (dual of [4154, 4026, 40]-code) | [i] | ✔ | |
| 19 | Linear OA(16129, 4158, F16, 39) (dual of [4158, 4029, 40]-code) | [i] | ✔ | |
| 20 | Linear OA(16130, 4161, F16, 39) (dual of [4161, 4031, 40]-code) | [i] | ✔ | |